Dr. Tapan Kumar Kar

Dr. Tapan Kumar Kar Associate Professor,   Mathematics PhD (Jadavpur University), Thesis title: Some Mathematical Models on Bioeconomic Harvesting Problems of Multispecies Fisheries. Supervisor: Professor Kripasindhu Chaudhuri, Jadavpur University. M.Phil (Calcutta University) Applied Mathematics, Specialization: Mathematical Ecology. GATE qualified, MHRD, Govt. of India. NET qualified (Joint CSIR-UGC) MSc.(Calcutta University) Applied Mathematics, Specialization: Mathematical Biology. BSc (Honours) (Calcutta University) Major: Mathematics, Minors: Physics and Chemistry.

 

Contact Addresses

	Residence	EE-103/1, Salt Lake, Sector-II, Kolkata-700091, West Bengal, India
	Phone (office)	+91 - 33 - 26684561/62/63 Ext. 529
	Mobile	+91 -
	email	t_k_kar@yahoo.com, tkar1117@gmail.com

 

Research Areas

• Mathematical Ecology.

 

Recent Publications

• 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).
• Kar, T. K. and Chaudhuri, K. S., On non-selective harvesting of two competing fish species in the presence of toxicity, Ecological Modelling, 161(2003)125-137(Elsevier).
• 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).
• 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).
• Kar, T. K. , Selective harvesting in a prey-predator fishery with time delay. Math. Comp. Model. 38(2003) 449-458 (Elsevier).
• 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(AMSE periodicals, France).
• 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).
• Kar, T. K. , A bioeconomic model of harvesting in a tritrophic food chain fishery, Int. J. Nonl. Model. Sci. Eng. 2(1)(2004) 1-12.
• Kar, T. K. Influence of environmental noises on the Gompertz model of two species fishery. Ecological Modelling, 173(2/3)(2004) 283-293 (Elsevier).
• Kar, T. K. Stability analysis of a prey-predator model with delay and harvesting. J. Biological Systems. 12(1)(2004)1-11(World Scientific).
• 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)
• 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).
• 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 ).
• Kar, T. K. Management of a fishery based on continuous fishing effort. Nonlinear Analysis: Real World Application, 5/4(2004)629-644(Elsevier, USA).
• 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, Canada).
• 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(AMSE Periodicals, France).
• Kar, T. K. Stability of a stage structured prey-predator model. Advances in Modelling and Analysis Series D, 9(3)(2004)15-26 (AMSE Periodicals, France).
• 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).
• 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 (Korea).
• Kar, T. K., Stability and optimal harvesting of a prey-predator model with stage-structure for predator, Applicationes Mathematicae, 32(2005)279-291(Polland).
• 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).
• 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).
• 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).
• 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).
• 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).
• 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).
• 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).
• Kar, T. K. and Misra Swarnakamal, Influence of prey reserve in a prey-predator fishery, Nonlinear Analysis 65 (2006)1725-1735 ( Elsevier).
• 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 (Korea ).
• 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).
• 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).
• 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).
• 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).
• 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).
• 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(Korea).
• 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).
• 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.
• 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.
• 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).
• 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.
• Kar, T. K. and Matsuda H, A bioeconomic model of a single species fishery with marine reserve, Journal of Environmental Management 86(1)(2008)171-180 (Elsevier).
• 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)
• 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).
• 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.
• 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).
• 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.
• 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).
• Kar, T. K. and Batbyal Ashim, Modeling and analysis of an epidemic model with non-monotonic incidence rate under treatment. J. Math. Res., 2(1) (2010)103-115.
• Kar, T. K. and Batabyal, Ashim. Optimal use of fertilizer to overcome the effects of toxicity in plants J. Math. Res., 2(1)(2010), 103-115
• 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.
• 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).
• 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.
• 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).
• Kar, T. K. and 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
• 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
• 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
• 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.
• Kar, T. K. and 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.
• 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
• Kar, T. K. and Chattopadhyay, S.K; A focus on long-run sustainability of a harvested prey-predator system in the presence of atternative prey, C. R. Biologies 333 (2010) 841-849 (Elsevier).
• Kar, T. K. and Batabyal, Ashim, Stability and optimal control of an SIR epidemic model by vaccination, BioSystems 104(2011)127-135 (Elsevier).
• 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).
• 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).
• 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).
• 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).
• 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.
• 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.
• Chakraborty, K. Chakraborty, M and Kar, T. K. Regulation of a prey-predator fishery incorporating prey refuge by taxation: A dynamic reaction model. J. Biological Systems 19(3)(2011)417-445 (World Scientific).
• 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).
• 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).
• Kar, T. K. and 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).
• Kar, T. K. and Ghosh Bapan, Sustainability and Optimal control of an exploited prey predator system through provision
• 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).
• 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 Biology 310(7)(2012)187-198 (Elsevier).
• Jana, S. 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).
• Chakraborty, K, and Kar, T. K, Economic perspective of marine reserves in fisheries: A bioeconomic model, Mathematical Biosciences 240(2012)212-222(Elsevier).
• 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).
• Jana, S. 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).
• Chakraborty, K, Jana, S. and Kar, T. K, Effort dynamics of a delay induced prey-predator system with reserve, Nonlinear Dynamics 70(2012)1805-1829 (Springer).
• Kar, T. K. and Mondal, Prasanta, Dynamical behaviour of a tuberculosis model with outcome of reinfection and optimal steering, Int. J. Ecol. Eco. Statistics 28(1)(2013)49-79.
• Kar, T. K. and Jana S., A theoretical study on mathematical modeling of an infectious disease with application of optimal control. BioSystems 111(2013)37-50 (Elsevier).
• Kar, T. K. Ghorai, A. and Jana S., Dynamic consequences of prey refuges in a two predator one prey system, Journal of Biological Systems (World Scientific). In Press.
• 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).
• 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).
• 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).
• 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).
• Ghosh, Bapan and Kar, T. K. Maximum sustainable yield and species extinction in ecosystem: Some new results. Journal of Biological Physics 39(1) (2013)(Springer).
• Chakraborty, K. Haldar, S. and Kar, T. K. Ecological sustainability of an optimal control system incorporationg partial closure for the publications, Nonlinear Analysis Real World Applications (Elsevier). In Press.
• Kar, T. K. and Ghosh, Bapan, Impacts of maximum sustainable yield policy to prey-predator systems. Ecological Modelling 250(2013)134-142 (Elsevier).
• Pahari, U. K. and Kar, T. K. Conservation of a resource based fishery model through optimal taxation, Nonlinear Dynamics 71(3)(2013)(Springer).
• 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).
• 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 (2013) (Springer)
• 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, In Press.
• Kar, T. K. and Jana, Soovoojeet , Application of three controls optimally in a vector-borne disease - a mathematical study, Communications in Nonlinear Science and Numerical Simulation (Elsevier), In Press.
• Kar, T. K. and Das, Uttam, Regulation of an exploited prey predator system: A dynamic reaction model, International Journal of Ecological Economics and Statistics, In Press.
• Chakraborty, K. Chakraborty, M. and Kar T. K. A bioeconomic assessment of the European Hake fishery, Under review.
• Kar, T. K. and Jana Soovoojeet, Dynamics of an epidemic problem in deterministic and stochastic way. In review.
• Ghosh, Bapan and Kar, T. K., Sustainable use of ecosystem services: Jointly determined ecological thresholds and economic trade-offs. In review.
• Ghorai, A. and Kar, T. K. Biological control of a prey-predator system in the presence of a super predator. In review.
• Kar, T. K. Das, Uttam and Jana, Soovoojeet, Modelling and Analysis of a delayed stage-structure prey-predator system with nonmonotonic functional response. In review.
• Pahari, U. K. and Kar, T. K., Global dynamics of a tri-trophic food chain model, Under review.
• Mondal, P. K. and Kar, T. K., Optimal treatment control and bifurcation analysis of a tuberculosis model with effect of multiple re-infections. In review
• Jana, S. and Kar, T. K. Control of pests through optimal use of pesticide and provision of additional food to their predators. Under review.
• Kar, T. K. and Mondal, P. K.,Global dynamics of a water-borne disease model with multiple transmission pathways. In review.
• Ghosh, Bapan and Kar, T. K., Possible ecosystem impacts of applying maximum sustainable yield policy in food chain models, Under review.
• Ghosh, Bapan, Kar, T. K. and Paul Prosenjit. Impacts of species enrichment and MSY policy in three species food chain and food web models. In review.
• Mondal, Prasanta, Jana, Soovoojeet and Kar, T. K., Global dynamics of an SIS epidemic model in fuzzy environment. Under review.

 

Courses Undertaken

 

Department of Mathematics, BESU, Shibpur - 7111 03, INDIA