IIEST, Shibpur

Indian Institute of Engineering Science and Technology, Shibpur

(Formerly Bengal Engineering and Science University, Shibpur)

Empowering the nation since 1856

आई आई ई एस टि, शिवपुर

भारतीय अभियांत्रिकी विज्ञान एवं प्रौद्योगिकी संस्थान, शिवपुर

(पूर्व में बंगाल इंजीनियरिंग एंड साइंस यूनिवर्सिटी)

१८५६ से देश को सशक्त बनाना

 International refereed (mostly SCI/SCOPUS) journal articles:

  1. Kar, T.K. and Chaudhuri, K. S., On non-selective harvesting of a multispecies fishery. Int. J. Math. Educ. Sci. Technol. 33(4)(2002)543-556 ( Taylor & Francis).
  2. Kar, T.K. and Chaudhuri, K. S., On non-selective harvesting of two competing fish species in the presencetoxicity, Ecological Modelling, 161(2003)125-137(ELSEVIER).
  3. Kar, T. K. and Chaudhuri K. S., Regulation of a prey-predator fishery by taxation: a dynamic reaction model. Journal of Biological System, 11 (2)(2003)173-187 (WORLD SCIENTIFIC).
  4. Kar, T. K. and Chaudhuri K. S., Regulation of a prey-predator fishery by taxation. Int. J. Math. Educ. Sci. Technol., .34(3)(2003)403-416 ( Taylor & Francis).   
  5. Kar, T. K., Selective harvesting in a prey-predator fishery with time delay. Math. Comp. Model. 38(2003) 449-458 (ELSEVIER).
  6. Kar, T.K., Optimal harvesting and stability for a prey-predator system with stage structure, Advances in Modelling and Analysis Series D, 8(3)(2003) 61-71
  7. Kar, T.K. and Chaudhuri, K. S., Harvesting in a two prey one predator fishery: a bioeconomic model. The ANZIAM J. 45(3)(2004) 443-456 (Australian Mathematical Society, AUSTRALIA).
  8. Kar, T. K., A bioeconomic model ofin a tritrophic food chain fishery,  Int. J. Nonl.  Model. Sci. Eng. 2(1)(2004) 1-12.
  9. Kar, T. K. Influence of environmental noises on the Gompertz model of two species fishery. Ecological Modelling, 173(2/3)(2004) 283-293 (ELSEVIER).
  10. Kar, T. K. Stability analysis of a prey-predator model with delay and harvesting. J. Biological Systems. 12(1)(2004)1-11(WORLD SCIENTIFIC).
  11. Kar, T. K. Conservation of a fishery through optimal taxation: a dynamic reaction model. Commu. Nonl. Sci. Num. Simul. 10(2)(2004) 121-131(Elsevier)
  12. Kar, T.K. and Chaudhuri, K. S.  On selective harvesting of two competing fish species in the presence of environmental fluctuation. Natural Resource Modeling, 17(4)(2004)1-23( USA).
  13. Kar, T. K. Pahari, U.K. and Chaudhuri, K. S, Management of a single species fishery with stage structure. Int. J. Math. Edu. Sci. Tech. 35(3)(2004) 403-414 (Taylor & Francis ).
  14. Kar, T. K. Management of a fishery based on continuous fishing effort. Nonlinear Analysis: Real World Application, 5/4(2004)629-644 (Elsevier).
  15. Kar, T. K. Pahari, U.K. and Chaudhuri, K. S., Management of a prey-predator fishery based on continuous fishing effort. J. Biol. Syst. 12(3)(2004)1-13( World Scientific).
  16. Kar T. K., Optimal harvesting and stability in a three level food chain fishery. Advances in Modelling and Analysis Series D, 25(1)(2004)31-46.    
  17. Kar, T. K., Stability of a stage structured prey-predator model. Advances in Modelling and Analysis Series D, 9(3)(2004)15-26. 
  18. Kar, T. K. Stability analysis of a prey-predator model incorporating a prey refuge. Communications in Nonlinear Sciences and Numerical Simulation 10(6)(2005)681-691(Elsevier).
  19. Kar T. K., Pahari U. K. and Chaudhuri K. S., Conservation of a prey-predator fishery based on continuous fishing effort. Journal of Applied Mathematics and Computing, 19(1/2)(2005)311-326.
  20. Kar T. K., Stability and optimal harvesting of a prey-predator model with stage-structure for predator, Applicationes Mathematicae, 32(2005)279-291.
  21. Kar, T. K. and Pahari, U. K. Non-selective harvesting in prey-predator models with delay,   Communications in   Nonlinear Science and Numerical Simulation. 11(4)(2005)499-509 (Elsevier).  
  22. Kar, T. K.  Optimal harvesting and stability for a prey-predator system with stage-structure for predator, Advances in Modelling and Analysis, Series D, 10(1)(2005)53-62(AMSE Periodicals, France).
  23. Kar. T. K. Modelling and analysis of  a harvested prey-predator system incorporating a prey refuge. Journal of Computational and Applied Mathematics, 185(2006)19-33 (Elsevier).
  24. Kar. T. K.  and Matsuda H, Modelling and Analysis of Marine Reserve Creation, Journal of Fisheries and Aquatic Sciences. 1(1)(2006)17-32(Academic Journals Inc, USA).
  25. Kar, T.K., A mathematical model on bioeconomic harvesting of a nonlinear prey-predator fishery, Int. J. Math. Educ. Sci. Technol., 37(3)(2006)309-319 (Taylor & Francis).
  26. Kar, T. K. and Matsuda H, Controllability of a harvested prey-predator system with time delay, Journal of Biological Systems, 14(2)(2006)1-12.(World Scientific).
  27. Kar, T. K., Controllability and optimal harvesting of a prey-predator model incorporating a prey refuge, Int. J. Math. Educ. Sci. Technl., 37(5) (2006) 559-571(Taylor & Francis).
  28. Kar, T. K and Misra Swarnakamal, Influence of prey reserve in a prey-predator fishery, Nonlinear Analysis  65 (2006)1725-1735 ( Elsevier).
  29. Kar, T. K , Misra Swarnakamal, Mukhopadhyay B., A bioeconomic model of a ratio-dependent predator-prey system and optimal harvesting, Journal of Applied Mathematics and Computing 22(2006)(1/2)387-401.
  30. Kar, T. K  and Matsuda H., An overview of bioeconomic analysis and management in fisheries, Journal of Fisheries and Aquatic Sciences 1(3)(2006)218-234(Academic Journals Inc,  USA).
  31. Kar, T. K. and Misra Swarnakamal, Optimal control of a fishery under critical depensation. Journal of Fisheries and Aquatic Sciences 1(3)(2006)253-261 (Academic Journals Inc, USA).
  32. Kar T. K., Pahari U. K., Modelling and analysis of a  prey-predator systems with stage-structure and harvesting, Nonlinear Analysis: Real World Applications 8(2007)601-609 (Elsevier).
  33. Kar. T. K. and Matsuda H., Global dynamics and controllability of a harvested prey-predator systems with Holling type III functional response. Nonlinear Analysis : Hybrid Systems:1(2007)59-67 (Elsevier).
  34. Kar T. K., Pahari U. K., A model for prey-predator fishery with marine reserve, Journal of Fisheries and Aquatic Sciences 2(3)(2007)195-205 (Academic Journals Inc, USA).
  35. Kar, T. K., Dynamics of a ratio-dependent prey-predator system with selective harvesting of predator species, Journal of Applied Mathematics and Computing 23(2007)(1/2)385-395.
  36. Kar, T. K., A model for fishery resource with reserve area and facing prey-predator  interaction, Canadian Applied Mathematics Quarterly 14(4)(2006)387-401(Canada).
  37. Kar T. K. and Matsuda H, Permanence and optimization of harvesting return: a stage structured prey-predator fishery, Research Journal of Environmental Sciences 1(2)(2007)35-46 (USA).
  38. Kar, T. K., Misra Swarnakamal, Modelling and analysis of a prey-predator system with stage-structure and harvesting, Advances in Modelling and Analysis,  Series D, 12(3)(2007)31-44.
  39. Kar, T. K. and  Matsuda H, Regulation of a multi-fleet fishery., Research Journal of Environmental Sciences 1(3)(2007)93-101(Academic Journal Inc, USA).
  40. Kar T. K. and  Matsuda H, Sustainable management of a fishery with a strong Alee effect, Trends in Applied Science Research 2(4)(2007)271-283, USA.
  41. Kar, T. K. .Matsuda H, A bioeconomic model of a single species fishery with  marine reserve, Journal of Environmental Management 86(1)(2008)171-180 (Elsevier).
  42. Kar, T. K. and Batbyal Ashim. (2009): Stability and bifurcation of a prey-predator model with time delay, C. R. Biologies 332, 642-651 (Elsevier)
  43. Kar, T. K. and Chakraborty, K. (2009): Marine reserves and its consequences as a fisheries management tool. World Journal of Modelling and Simulation, 5(2), 83-95 (World Academic Press, USA).
  44. Kar, T. K. and Chattopadhyay, S. K. A bioeconomic model of two-prey one predator system, Journal of Applied Mathematics and Informatics 27(5/6)(2009) 1411-1427.
  45. Kar. T. K. and Chattopadhyay, S. K.  Bioeconomic modeling: an application to the North-East Atlantic cod fishery, Journal of Mathematics Research 1(2) (2009) 164-178 (CCSE, Canada).
  46. Kar, T. K. and Batabyal Ashim. Persistence and extinction of two prey and one predator system, Int. J. Engg. Sci. & Tech. 2(2) (2010) 174-190.
  47. Kar, T. K. and Chattopadhyay, S. K. and Agarwal, R. P., Dynamics of an exploited prey-predator system with non-monotonic functional response, Communications in Applied Analysis, 14(1)(2010)21-38 (USA).
  48. Kar. T. K. and Batabyal Ashim, Modeling and analysis of an epidemic model with non-monotonic incidence rate under treatment. J. Math. Res., 2(1) (2010)103-115.
  49. Kar, T. K. and Batabyal, Ashim. Optimal use of fertilizer to overcome the effects of toxicity inJ. Math. Res., 2(1)(2010), 103-115
  50. Kar, T. K. and Chakraborty, K. Bioeconomic analysis of fishery with reference to the optimal utilization and management of the resource: An application to the Maryland’s Chesapeake Bay oyster fishery, Int. J. Engg. Sci. Tech 1(1)(2009)172-189.
  51. Kar, T. K. and Misra Swarnakamal, A resource based stage structured fishery model with selective harvesting of mature species, Appl. Appl. Math. 5(1)(2010)42-58 (USA).
  52. Kar, T. K. and Chakraborty, K. Effort dynamics in a prey-predator model with harvesting.  Int. J. Inf. & Syst. Sci.  6(3)(2010) 318-332
  53. Kar, T. K. and Chakraborty, K. A bioeconomic assessment of the Bangladesh srimp fishery, World J. Modelling & Simulation, 7(1)(2011)58-59 (World Academic Press).
  54. Kar, T. K., Chakraborty, K and Pahari, U. K. A prey-predator model with alternative prey: Mathematical model and analysis. Canadian Applied Mathematics Quarterly, 18(2)(2010) 137-168 (CANADA).
  55. Kar, T. K., Batabyal, Ashim and Agarwal, R. P. Modelling and analysis of an epidemic model with classical Kermack Mckendrick incidence rate under treatment, J. KSIAM 14 (2010), 1-16
  56. Kar, T. K. and Chakraborty, K. Bio-economic modelling of a prey-predator system using differential algebraic equations, Int. J. Engg. Sci. Tech., 2(1) (2010) 13-34
  57. Kar, T. K. and Misra Swarnakamal and Batanyal Ashim, An analysis for a two species predator-prey system with harvesting, Int .J. Advn  Sci.Techn. 1(5)(2010)84-99 (USA).
  58. Kar  T. K. & Chattopadhyay, S. K., A dynamic reaction model of a prey-predator system with stage-structure for predator, Modern Applied Sciences, 4(5)(2010)183-195 (CANADA).
  59. Kar, T. K., Batabyal, A. and Misra, S., “An Analysis for a Two Species Predator-Prey System with harvesting” International Journal of Advances in Science and Technology, 1(5) (2010) 76-90.
  60. Kar, T. K and Ghosh, Bapan, Bifurcation and feedback control of a stage-structure exploited prey-predator system.  Int . J. Engg. Sci. Tech. 2(6) (2010)131-141
  61. Kar, T. K and Chattopadhyay, S.K; A focus on long-run sustainability of a harvested prey-predator system in the presence of alternative prey, C. R. Biologies  333 (2010) 841-849 (Elsevier).
  62. Kar, T. K. and Batabyal, Ashim, Stability and optimal control of an SIR epidemic model by vaccination, BioSystems 104(2011)127-135 (Elsevier).
  63. Chakraborty, K. Chakraborty, M and Kar, T. K. Optimal control of harvest and bifurcation of a prey-predator model with stage structure. Applied Mathematics and Computation 217(2011)8778-8792 (Elsevier).
  64. Kar, T. K. and Ghorai, Abhijit, Dynamic behaviour of a delayed predator-prey model with harvesting, Applied Mathematics and Computation 217(2011)9085-9104 (Elsevier).
  65. Kar, T. K. and Mondal, Prasanta Kumar, Global dynamics and bifurcation in delayed SIR epidemic model, Nonlinear Analysis : Real world Applications 12(2011)2058-2068 (Elsevier).
  66. Chakraborty, K. Chakraborty, M and Kar, T. K. Bifurcation and control of a bioeconomic model of prey-predator system with time delay, Nonlinear Analysis: Hybrid Systems 5(2011)613-625 (ELSEVIER).
  67. Kar, T. K. and Ghosh, Bapan, Dynamic analysis of a biological economic model of prey-predator system with alternative prey, International J. Ecological Economics and Statistics, 25(2)2012, 12-32.
  68. Kar, T. K. and Pahari, U.K. Bifurcation and feedback controll in an exploited prey-predator system with stage structure for prey, Journal of Applied Mathematics and Informatics, 29(2011)(5/6)1193-1204.
  69. Chakraborty, K. Chakraborty, M and Kar, T. K. Regulation of a prey-predator fishery incorporating prey refuge by taxation: A dynamic reaction model. Journal Biological Systems 19(3)(2011)417-445 (World Scientific).
  70. Chakraborty, K. Das, Sanjoy and Kar, T. K. Optimal control of effort of a stage structured prey-predator fishery model with harvesting, Nonlinear Analysis: Real World Applications 12(2011)3452-3467(Elsevier).
  71. Kar, T. K. and Mondal, Prasanta, A mathematical study on the dynamics of an eco-epidemiological model in the presence of delay, Applications and Applied Mathematics: An International Journal 7(1)(2012)300-333 (USA).
  72. Kar. T. K., Ghorai, Abhijit and Batabyal, Ashim. Global dynamics and bifurcation of a tri-trophic food chain model. World J. Modelling and Simulations, 8(1)(2012)66-80 (World Academic Press, USA).
  73. Kar T. K. and Ghosh Bapan, Sustainability and Optimal control of an exploited prey predator system through provision of alternative food to predator. BioSystems 109(2)(2012)220- 232 (Elsevier).
  74. Chakraborty, K, Jana, Soovoojeet and Kar, T. K, Global dynamics and bifurcation in a stage-structured prey-predator fishery model with harvesting, Applied Mathematics and Computation 218(2012)9271-9290 (Elsevier).
  75. Kar, T. K. Ghorai, Abhijit and Jana, Soovoojeet. Dynamics of pest and its predator model with disease in the pest and optimal use of pesticide. Journal of Theoretical Biology310(7) (2012)187-198 (Elsevier).
  76. Jana, Soovoojeet, and Kar T. K., The Optimal allocation of ocean space for the purposes of fishery and ecotourism management, Marine Science 2(5) (2012) 85-93 (Scientific and Academic Publishing).
  77. Chakraborty, K, and Kar, T. K, Economic perspective of marine reserves in fisheries: A bioeconomic model, Mathematical Biosciences 240 (2012) 212-222 (Elsevier).
  78. Kar, T. K. and Mondal, Prasanta, Global dynamics of a tuberculosis epidemic model bifurcation and the influence of backward bifurcation, Journal of Mathematical Modelling and Algorithms 11(4) (2012) 433-459 (Springer).
  79. Jana, Soovoojeet, Chakraborty, M. Chakraborty, K. and Kar, T. K. Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge. Mathematics and Computers in Simulations 85(2012)57-77 (Elsevier).
  80. Chakraborty, K, Jana, Soovoojeet, and Kar, T. K, Effort dynamics of a delay induced prey-predator system with reserve, Nonlinear Dynamics 70(2012)1805-1829 (Springer).
  81. Kar, T. K. and Mondal, Prasanta, Dynamical behaviour of a tuberculosis model with outcome of reinfection and optimal steering, International Journal of Ecological Economics and Statistics 28(1) (2013) 49-79 (CESER).
  82. Kar, T. K. and Jana, Soovoojeet, A theoretical study on mathematical modeling of an infectious disease with application of optimal control. BioSystems 111 (2013) 37-50 (Elsevier).
  83. Kar, T. K. Ghorai,and Jana, Soovoojeet, Dynamic consequences of prey refuges in a two predator one prey system, Journal of Biological Systems 21(2) (2013) 13500131-135001328 (World Scientific).
  84. .Kar, T. K. and Jana, Soovoojeet, Stability and bifurcation analysis of a stage structured predator-prey model with time delay. Applied Mathematics and Computation 219(8) (2013)3779-3792 (Elsevier).
  85. .Kar, T. K., Jana, Soovoojeet and Ghorai, Abhijit, Effect of isolation in an infectious disease, International Journal of Ecological Economics and Statistics 29(2)(2013)87-106 (CESER).
  86. Kar, T. K. and Ghosh, Bapan. Sustainability and economic consequences of creating marine protected area in multi-species multi-activity context. Journal of Theoretical Biology 318(2013) 81-90 (Elsevier).
  87. Jana, Soovoojeet and Kar, T. K., Modelling and analysis of a prey-predator system with disease in the prey, Chaos, Solitons and Fractals 47(2013) 42-53 (Elsevier).
  88. Ghosh, Bapan and Kar, T. K. Maximum sustainable yield and species extinction in ecosystem: Some new results. Journal of Biological Physics 39(3) (2013) 453-467 (Springer).
  89. Kar, T. K. and Ghosh, Bapan, Impacts of maximum sustainable yield policy to prey-predator systems. Ecological Modelling 250(2013) 134-142 (Elsevier).
  90. Pahari, U. K. and Kar, T. K. Conservation of a resource based fishery model through optimal taxation, Nonlinear Dynamics 72 (2013) 591-603 (Springer).
  91. Chakraborty, K. Das, K. and Kar, T. K. Combined harvesting of a stage structured prey-predator model incorporate cannibalism in competitive environment, C. R. Biologies 336(2013)34-45 (Elsevier).
  92. Chakreborty, K, Halder, S and Kar, T. K. Global stability and bifurcation analysis of a delay induced prey-predator system with stage-structure. Nonlinear Dynamics 73(3) (2013) 1307-1325 (Springer).
  93. Kar, T. K. and Jana, Soovoojeet, Application of three controls optimally in a vector-borne disease - a mathematical study, CommunicationsNonlinear Science and Numerical Simulation 18 (2013) 2868-2884 (Elsevier).
  94. Ghosh, Bapan and Kar, T. K., Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models, Journal of Theoretical Biology 329 (2013) 6-14 (Elsevier).
  95. Chakraborty, K., Das, Sanjoy, and Kar, T. K., On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations.Applied Mathematics and Computation,221,2013), 581-597 (Elsevier).
  96. Kar, T. K. and Mondal, P. K., Global dynamics of a water-borne disease model with multiple transmission pathways. Applications and Applied Mathematics: An International Journal 8(1) (2012) 75-98 (USA).
  97. Kar, T. K. and Das, Uttam, Regulation of an exploited prey predator system: A dynamic reaction model, International Journal of Ecological Economics and Statistics, 31(4) (2013) 102-121 (CESER).
  98. Jana, Soovoojeet, and Kar, T. K. A mathematical study of a prey-predator model in relevance to pest control. Nonlinear Dynamics, 74 (2013) 667-683 (Springer).
  99. Chakraborty, K. Das, K. and Kar, T. K. An ecological perspective of marine reserves in prey–predator dynamics, Journal of Biological Physics, 39(4) (2013) 749-776 (Springer).
  100. Ghorai, A. and Kar, T. K. Biological control of a prey-predator system in the presence of a super predator. Nonlinear Dynamics, 74 (2013) 1029-1040 (Springer).
  101. Mondal, P. K., Jana, Soovoojeet and Kar, T. K., A theoretical approach on controlling agricultural pest by biological controls. Acta Biotheoretica, 62 (2014) 47-67 (Springer).
  102. Kar, T. K. and Das Uttam, Singular induced bifurcation and control of a bioeconomic model of an exploited prey-predator system. Canadian Applied Mathematics Quarterly, 20(3) (2012), 355-373 (CANADA).
  103. Das, Uttam, Kar, T. K., Pahari, U. K., Global dynamics of an exploited prey-predator model with constant prey refuge, ISRN Biomathematics, 2013, Article ID 637640, 12 pages (Hindawi, USA).
  104. Das, Uttam and Kar, T. K., Bifurcation analysis of a delayed predator-prey model with Holling type III functional response and predator harvesting, Journal of Nonlinear Dynamics, Vol.Article ID 543041, 10 pages, (2014).
  105. Ghosh, Bapan and Kar, T. K., Sustainable use of prey species in a prey-predator system: Jointly determined ecological thresholds and economic trade-offs. Ecological Modelling, 272 (2014) 49-58 (Elsevier).
  106. Chakraborty K, Chakraborty M. and Kar T. K., Sustainable development of European Hake resource: Bioeconomic perspective, Journal of Biological Systems, (World Scientific) (2014)1-23.
  107. Das, Kunal, Chakraborty, M., Khakraborty, K, Kar, T. K. Modelling and analysis of delayed exploited ecosystem towards coexistence perspective, Nonlinear Dynamics (Springer) (2014)1-19.
  108. Ghosh, Bapan, Kar, T. K. and Legovic Tarzan, Sustainability of exploited ecologically interdependent species, Population Ecology 56(2014) 527-537 (Springer).
  109. Ghosh, Bapan, Kar, T. K. and Paul, Prosenjit, Extinction scenarios in exploited system: Combined and selective harvesting approaches, Ecological Complexity 19(2014)130-139 (Elsevier).
  110. Ghosh, Bapan, Kar, T. K. and Legovic, Tarzen, Relationship between exploitation, oscillation, MSY and extinction, Mathematical Biosciences, 256(2014)1-9 (Elsevier).
  111. Das, Kunal, Chakraborty,  M.  Chakraborty, K. and Kar T. K. Modelling and analysis of a multiple delayed exploited ecosystem towards coexistence perspective, Nonlinear Dynamics, 78(2014)505-523 (Springer).
  112. Das, Uttam Kar, T. K., and Jana, Soovoojeet, Dynamical behaviour of a delayed stage-structured predator-prey model with nonmonotonic functional response. International Journal of Dynamics and Control 3 (2015) (3) 225-238 (Springer).
  113. Chakraborty, K, Das, Kunal and Kar, T. K., Modelling and analysis of a marine plankton system with nutrient recycling and  diffusion, Complexity 21(1)(2015)229-241 (Wiley).
  114. Guria, Srabani, Pal, Prosenjit and Kar, T. K., Sustainability of a stage-structured exploited prey-predator system, International Journal of Biomathematics and Systems Biology, 1(1)(2014)1-17.
  115. Chakraborty, K., Das, Kunal, Haldar Samadyuti and Kar, T. K., A mathematical study of an eco-epidemiological system on disease persistence and extinction perspective. Applied Mathematics and Computation 254(2015)99-112 (Elsevier).
  116. Haldar, Samaduyti, Chakraborty, Kunal, Das, Kunal, Kar, T. K., Bifurcation and control of an eco-epidemiological system with environmental fluctuations: a stochastic approach. Nonlinear Dynamics. 80(2015)1187-1207 (Springer).
  117. Paul, Prosenjit, Ghosh, Bapan and Kar, T. K., Impact of species enrichment and fishing mortality in three species food chain models, Commun Nonlinear Sci Numer Simulat 29(2015)208-223 (Elsevier).
  118. Jana, Soovoojeet, Guria Srabani, Das Uttam, Kar T. K. and Ghorai Abhijit. Effect of harvesting and infection on predator-prey system, Nonlinear  Dyn 81(2015)917-930 (Springer).
  119. Mondal, Prasanta and Kar T. K., Optimal treatment control and bifurcation analysis of a tuberculosis model with effect of multiple re-infections, Int. J. Dynam. Control  DOI. 10. 1007/s40435-015-0176-z (Springer).
  120. Haldar  Samadyuti, Chakraborty Kunal and Kar T. K. Controllability of an eco-epidemiological system with disease transmission delay: A theoretical study. Applications and Applied Mathematics: An International Journal 10(1) (2015)382-420 (USA).
  121. Das Uttam, Guria Srabani, Kar, T. K. and Pahari, U, K, A dynamic reaction model of a prey-predator syatem incorporating a constant prey refuge, In. J. Ecol. Econ. Stat. 36(3) 2015.
  122. Das Uttam, Kar, T. K. and Jana Soovoojeet, Dynamic behavior of a delayed stage structured predator prey model with nonmonotonic functional response. Int. J. Dynam. Control (2015) (3) 225-238 (Springer).
  123. Chakraborty, Kunal, Halder, Samadyuti and Kar, T. K. Ecological sustainability of an optimal controlled systemincorporating partial closure for the populations. J. Biol. Syst. 23(3) (2015) 1-30 (World Scientific).
  124. Mondal, Prasanta Kumar, Jana, Soovoojeet, Haldar, Palash and Kar, T. K., Dynamical behavior of an epidemic model in a fuzzy transmission. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 23(5)(2015)651-665 (World Scientific).
  125. Jana Soovoojeet, Ghorai, Abhijit, Guria, Srabani, and Kar, T. K. Global dynamics of a predator, weaker prey and stronger prey system. Applied Mathematics and Computation 250(2015)235-248 (Elsevier).
  126. Jana, Sovoojeet, Halder Palash, Kar, T. K. Complex Dynamics of an epidemic model with vaccination and treatment controls. International Journal of Dynamics and Control 4(2016)318-329 (Springer).
  127. Jana Sovoojeet, Halder Palash, Nandi Swapan and Kar, T. K. Global dynamics of a SEIRS epidemic model with saturated disease transmission rate and vaccination control. International Journal of Applied and Computational Mathematics 3(2017)43-64 (Springer).
  128. Nandi Swapan Kumar, Mondal Prasanta Kumar, Jana Soovoojeet, Haldar Palash and Kar, T. K. Prey-predator model with two stage infection in prey: Concerning pest control. Journal of Nonlinear Dynamics. Volume 2015, Article ID 948728, 13 pages.
  129. Jana Soovoojeet, Haldar Palash and  Kar T. K, Optimal control and stability analysis of an epidemic model with population dispersal. Chaos, Solitons and Fractals 83(2016)67-81. (Elsevier).
  130. Jana, Soovoojeet, Nandi S. K. and  Kar, T. K, Complex dynamics of an SIR epidemic model with saturated incidence rate and treatment. Acta Biotheoretica 64(2016)65-84 (Springer).
  131. Paul, Prosenjit, Kar, T. K., and Ghorai, Abhijit. Ecotourism and fishing in a common fishing ground of two interacting species, Ecological Modelling 328(2016) 1-13 (Elsevier).
  132. Paul, Prosenjit and  Kar, T. K., Impacts of invasive species on the sustainable use of native exploited species, Ecological Modelling 340(2016) 106-115 (Elsevier).
  133. Ghosh, Bapan, Pal, Debprasad, Kar, T. K. and Valverde, Jose C. Biological conservation through marine protected areas in the presence of alternative stable states, Mathematical Biosciences 286(2017)49-57 (Elsevier).
  134. Jana, Soovoojeet, Haldar, Palash and Kar, T. K., Mathematical analysis of an epidemic model with isolation and optimal controls. International Journal of Computer Mathematics 94(7)(2017)1318-1336. (Taylor and Francis).
  135. Pahari, U. K., Ganguli, Chaity, Kar, T. K. and Das Uttam, Global dynamics of a tritrophic food chain model, International Journal of Ecological economics and statistics 38 (2017)
  136. Ganguli, Chaity and Kar, T. K., Optimal harvesting of a prey-predator model with variable carrying capacity, International Journal of Biomathematics 10(5)(2017) 1-24. (World Scientific).
  137. Nandi, S. K., Jana, S., Mandal, M., Kar, T. K., Analysis of a fuzzy epidemic model with saturated treatment and disease transmission, International Journal of Biomathematics, 11(1)(2018)    (world Scientific).
  138. Paul, Prosenjit, Kar, T. K. and Ghorai, Abhijit, Impact of marine reserve on maximum sustainable yield in a traditional prey-predator system. Commun. Nonl. Sci. Numer. Simult. 54(2018)34-49 (Elsevier).
  139. Khajanchi, S. , Das, Dhiraj Kumar, Kar, T. K., Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation, Physica A: Statistical Mechanics and its Applications 497(2018)52-71(Elsevier)
  140. Jana, S. Nandi, S. K., Mondal, M. and Kar, T. K., Mathematical analysis of an epidemic system in presence of optimal control and population dispersal. Biophysical Reviews and Letters. https://doi.org/10.1142/S1793048018500017 (World Scientific).
  141. Ganguli, Chaity and Kar, T. K., Species enrichment and its consequences on the sustainability of an exploited prey-predator system. Int. Journal Ecol. Econ. Statistics, 39(3)(2018)39-66.
  142. Ganguli, Chaity and Kar, T. K and Das Uttam, Consequences of providing alternative food to predator in an exploited prey predator system controlled by optimal taxation, International Journal of Nonlinear Science 25(3)(2018)131-150.
  143. Ghosh, Bapan, Pal Debprasad, Legovic Tarzen and Kar, T. K., Harvesting unduced stability and instability in a tri-trophic food chain. Mathematical Biosciences 304(2018)89-99.
  144. Chaity Ganguli and Kar T. K., Maintenance of yield maximkzation and species conservation perspectives in three species food chain model, Int. J. Ecol. Stat.  In Press
  145. Jana, S., Mandal, M., and Kar, T. K., Optimal control and stability analysis of an epidemic model with population dispersal. Int. J. Ecol. Stat., In Press.
  146. Jana, S., Nandi, S. K., Mandal, M. and Kar, T. K., Complex dynamics and optimal treatment of an epidemic model with two infectious diseases, International Journal of Applied and Computational Mathematics, In Press.
  147. Jana, S., Haldar, S., Das, D., Nandi, S. K., and  Kar, T. K., Modelling and analysis of an ecological system incorpporating infection and prey refuge. Biophysical review and Letters, 13(4)(2018)195-216.

  Proceedings publications:

 

  1. Kar, T. K., Sinha, D. K. and Bagchi, M. C., On viscoelastic behaviour of enzymes: a stochastic model, Journal of Biomedical Engineering Society of India vol. 15(1995) Page 52 (Special issue).
  2. Kar T. K. Stage structure prey-predator model and optimal harvesting, Proceedings of the International Symposium on Analysis, Manifolds and Mechanics, page 139, February 5-7, 2003, M. C. Chaki Centre for Mathematics and Mathematical Sciences, Kolkata, India.
  3. Kar T. K. and Chaudhuri K. S., Bioeconomic Modelling of a prey-predator fishery : A capital theoretic approach, Proceedings of the National Seminar on Recent Trends in Mathematics and its Applications, Feb 25-26, 2002, page no. 49-55, Department of Mathematics, Siksha Bhavana, Visva Bharati, Santiniketan, India.
  4. Kar, T. K. and Matsuda H, Controllability of a harvested prey-predator system with time delay, Proceedings of the 15th Annual Meeting of the Japanese  Society for Mathematical Biology, Page 52,  Sept 15-17, 2005, Yokohama National University, Japan
  5. Kar T. K. and Matsuda H., A bioeconomic model of a single species fishery with marine reserve, International Symposium on Recent Advances in Mathematics and its Applications, December 17-19, 2005, Calcutta Mathematical Society, India.
  6. Kar T. K. and Matsuda H., Stability, bifurcation and controllability of a harvested prey-predator system with time delay, International Symposium on Recent Advances in Mathematics and its Applications, December 16-18, 2006, Calcutta Mathematical Society, India.
  7. Kar T. K. and Chkraborty, Kunal., A bioeconomic assessment of the Maryland’s Chespeake Bay oyster fishery with reference to the optimal utilization and management of the resource, Proceedings of the International Seminar on Modern Trends in Biological Sciences, pp 101-108, October 24, 2009, Published by Raja N. L. Khan Women’s College, Midnapur, India.
  8. Chakraborty, Kunal and Kar, T. K. Bifurcation analysis and optimal control of harvest in a prey-predator model with stage structure for prey, Proceedings of the National Seminar on Mathematical Modelling of Natural Phenomena (NSMMNP-2010), 207-218.
  9. Chakraborty, K., Jana, S. and Kar, T. K. Influence of marine reserve in a bioeconomic system. Proceedings National Seminar on Recent Advances in the Application of Mathematical Analysis and Computational Techniques in Applied Sciences, Siliguri College, (2011)42-52.
  10. Mondal, P. K. and Kar, T. K., Optimal control and stability analysis of an SIR model with vaccination strategy. Proceedings of the International conference on recent trends in Science & Technology organised by College of Engineering and Management,Kolaghat, West Bengal, India, December 27-29, (2013) 136-142.
  11. Jana, S. and Kar, T. K., Optimal control of an epidemic model with vaccination and treatment control. Proceedings of the International conference on recent trends in Science & Technology organised by College of Engineering and Management, Kolaghat, West Bengal, India, December 27-29, (2013) 143-149.

Books/chapters publications:

  1. Jana, S. and  Kar, T. K., Complex dynamics of some ecological systems with  special emphasis on epidemiological problems. LAP LAMBART Academic Publishing, 2015.
  2. Nandi, Swapan, Jana, Soovoojeet and Kar, T. K. , Bio-Mathematical Modelling under uncertain environment (Chapter 4), Narosa, New Delhi, 2016
  3.  Kar, T. K. Bio-Mathematical modelling under uncertain environment (Chapter 7), Narosa, New Delhi, 2016.
  4.  Mondal P. K. and Kar, T. K. Bio-Mathematical Modelling under uncertain environment (Chapter 10), Narosa, New Delhi, 2016.