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Education:
  • B.Sc. (Mathematics) : 1985 Burdwan University

  • M.Sc. (Applied Mathematics): 1987 Jadavpur University

  • Ph.D. : 1993 Jadavpur University

    Ph D Students :
    1. Dr.Gopal Ghosal : Ph.D (2002)
      Thesis Title: Models based study on the dynamics of harvested predator-prey system

    2. Dr.Nandulal Bairagi : Ph.D (2004)
      Thesis Title: Mathematical and stochastic modelling on eco-epidemiological problems

    3. Dr.Ramrup Sarkar : Ph.D (2004)
      Thesis Title: Mathematical and stochastic modelling on biological system with special emphasis on plankton ecology

    4. Dr.Samares Pal : Ph.D (2004)
      Thesis Title: Role of viral infection predator-prey system with special emphasis on phytoplankton-zooplankton system-model based study

    5. Kusumika Kundu
      Thesis Title: Mathematical studies on eco-epidemiological models with special emphasis on ratio-dependent theory

    6. Shovonlal Roy
      Thesis Title: The plankton paradox and the paradox of enrichment: new solutions based on field observations, mathematical and stochastic modeling

    7. Samrat Chatterjee
      Thesis Title: The role of migratory bird populations in eco-epidemiological scenarios-deterministic and stochastic approach

    8. Priti Kumar Roy
      Thesis Title: Mathematical modelling on the dynamics of ecological systems with special emphasis on transmissible diseases

    9. Mainul Haque
      Thesis Title:

    Research Interest:
      Deterministic and stochastic Theory -experiment and computer simulation of self-organization in non-linear biological, ecological, epidemiological and eco-epidemiological systems far from stationary point(s), specifically
    • Plankton dynamics
    • SIRS epidemiological systems
    • Effect of disease factor(s) on ecological systems
    • sensitivity analysis and Chaotic dynamics of dynamical systems
    • Bio-control
    • Bio informatics
    • Cellular growth and biomorphogenesis



    Current work involves:

    Nonlinear models of plankton dynamics, plankton paradox and paradox of enrichment; role of toxin producing phytoplankton, nonlinear models on ratio-dependent eco-epidemiological problems, chaos dynamics, modelling on migratory bird population, modeling on agricultural ecosystem

    List of publications:

     |Cellular Growth | Ecology | Plankton Ecology | Epidemiology | Eco-Epidemiology

    Cellular Growth:

     1.   Formation of a regular dissipative structure: a bifurcation and nonlinear analysis: Chattopadhyay, J., Tapaswi, P. K, Mukherjee, D.(1992): BioSystems 26: 211-222. Elsevier.

    2.    Morphogenetic prepattern during embryonic development: a nonlinear analysis : Chattopadhyay, J., Tapaswi, P. K. (1992) . Appl.Math.Lett. 5: 19-22. Pergamon Press, USA.

    3.    Turing structure during embryogenesis : Tapaswi, P.K., Chattopadhyay, J. (1993. BioSystems 29: 25-36. Elsevier.

    4.    Order and disorder in biological systems through negative cross diffusion of mitotic inhibitor-a mathematical model. : Chattopadhyay, J., Tapaswi, P. K. (1993 Mathl. Comput. Modelling 17:101-112. Pergamon Press, USA.

    5.   A mathematical model of tumor growth with spatially decreasing diffusion coefficient of mitotic inhibitor. : Chattopadhyay, J., Tapaswi, P. K. (1994) Journal of Biological Systems 2: 1-12, World Scientific Publishers, USA.

    6.    Normal and tumor tissue growth : Chattopadhyay, J., Tapaswi, P. K. (1994 Cybernetica XXXVII: 85-96, Belgium.

    7.   Effects of cross diffusion on activator and inhibitor model for the emergence of ordered structure during embryogenesis : Tapaswi, P. K., Chattopadhyay, J. (1995): Nonlinear World 2: 295 - 310, Wailter De Gruyter and Co, New York.

    8.    Effect of cross diffusion on pattern formation- a nonlinear analysis : Chattopadhyay, J. and Tapaswi, P. K. (1997):Acta Applicandae Mathematicae 48, 1-12, Kluwer Academic Publishers.

    9.    Hopf-bifurcating spatially heterogeneous solution during embryogenesis : Sarkar, A. K. and Chattopadhyay, J. (1997): Cybernetica 4, 319-328, Belgium.



    Ecology:

     1.   Formation of a dissipative structure: a nonlinear analysis. : Chattopadhyay, J., Tapaswi, P. K., Dutta, D., Chattopadhyay, D. (1994). Ecological Modelling 73: 205-214, Elsevier.

    2.   Effect of nutrient diffusion through soil on the growth of seasonal plants : Tapaswi, P. K., Chattopadhyay, J., Sarkar, A., Mukherjee, D., Sarkar, D.Roy, A. B. (1995) Indian Biologist XXVII, No.1.

    3.   A resource based three compartment model : Chattopadhyay, J., Sarkar, A. (1996): Journal of Biological Systems 4, No. 1, 25-29, World Scientific Publishers, USA.

    4.   Effect of cross diffusion on a diffusive prey predator system - a nonlinear analysis : Chattopadhyay, J., Sarkar, A., Tapaswi, P. K. (1996): Journal of Biological Systems 4, No. 2, 159 -169, World Scientific Publishers, USA.

    5.   Effect of toxic substance on a two species competitive system : Chattopadhyay, J. (1996): Ecological Modelling 84: 287 - 289, Elsevier.

    6.   Effect of inhibitors on row intercropping system. : Chattopadhyay, J., Tapaswi, P. K., Banik, P., Bagchi, D. K. (1996): Journal of Biological Systems 4, No. 1, 31-38, World Scientific Publishers, USA.

    7.   A resource based competitive system in a three species fishery. : Chattopadhyay, J., Mukhopadhyay, A. and Tapaswi, P. K. (1996): Nonlinear Studies 3, 73-84.

    8.    Effect of time varying cross diffusivity in a two species Lotka-Volterra competitive system. : Roychowdhury, S., Sinha, D.K. and Chattopadhyay, J. (1996Ecological Modelling 92, 55-64, Elsevier.

    9.   Competition for nutrient uptake between crops during their growth - a mathematical model : Chattopadhyay, J., Sarkar A., Sarkar, D. Tapaswi, P. K., Roy, A. B., Banik, P., Bagchi, D. K., (1996): Cybernetica XXXIX, 201 - 211, Belgium.

    10.    Selective harvesting of a two species fishery model : Mukhopadhyay, A., Chattopadhyay, J. and Tapaswi, P. K., (1997 Ecological Modelling 94, 243-253, Elsevier.

    11.    A predator prey model with disease in the prey : Chattopadhyay, J. and Arino, O. (1999): Nonlinear Analysis 36, 747-766, Pergamon Press, U.S.A.

    12.   A predator-prey model with some cover on prey species : Chattopadhyay, J., Bairagi, N. and Sarkar, R.R. (2000): Nonlinear Phenomenon in Complex System 3, 407-420, the "Education and Upbringing" Publishing Company, Minsk, Republic of Belarus.

    13.   Uniqueness of limit cycles in a harvested predator prey system with Holling type III functional response : Chattopadhyay, J., Sarkar, R., Ghosal, G. and Ghosh, S. (2001): Nonlinear Studies 8, 261-281, I & S Publishers, U.S.A.

    14.   Parasitoids may determine plant fitness – a mathematical model based on experimental data : Chattopadhyay, J., Sarkar, Ram Rup, Fritzsche-Hoballah, Maria Elena, Turlings, Ted C. J. and Bersier, Louis-Felix (2001) : Journal of Theoretical Biology 212, 295-302, Academic Press.

    15.   Cross diffusional effect in a Lotka-Volterra competitive system. : Chattopadhyay, J. and Chatterjee, S. (2001): Nonlinear Phenomenon in Complex System 4, 364-369, The "Education and Upbringing" Publishing Company, Minsk, Republic of Belarus.

    16.    A technique for maximum harvesting effort in a noise induced bioeconomic fishery model : R. R. Sarkar and J. Chattopadhyay (2003): Journal of Bioscience, 28, 497-506.

    17.    Ratio-dependent predator-prey model: Effect of environmental fluctuation and stability,Bandyopadhyay, M and Chattopadhyay, J. (2005): Nonlinearity, 18, 913-936.

    18.   Logistic growth functions may overcome extinction in a ratio-dependent predator-prey model: deterministic and stochastic approach,Kundu, Kusumika, Bandopadhyay, M. Chattopadhyay, J. (2005): Nonlinear Studies, 12, 101-118.

    19.   Role of nutrient bound of prey on the dynamics of predator-mediated competitive-coexistence, Roy, S., Alam, S., Chattopadhyay, J.: BioSystems (In Press).



    Plankton Ecology:

     1.   A dealy differential equations model of plankton allelopathy. : Mukhopadhyay, A., Chattopadhyay, J. and Tapaswi, P. K., (1998):Mathematical Biosciences 149, 167-189, Elsevier.

    2.    Viral infection of phytoplankton zooplankton system - a mathematical modelling : Chattopadhyay, J. and Pal, S (2002): Ecological Modelling, 151, 15-28, Elsevier.

    3.    Toxin producing plankton may act as a biological control for planktonic blooms- field study and mathematical modelling : Chattopadhyay, J., Sarkar, R.R. and Mandal, S. (2002), Journal of Theoretical Biology, 215 (3), 333-344, Academic Press.

    4.    Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system : El abddllaoui, A., Chattopadhyay, J. and Arino, O. (2002): Mathematical Models and Methods in Applied Sciences, 12 (10), 1421-1451.

    5.    A delay differential equation model on harmful algal blooms in the presence of toxic substances : Chattopadhyay, J., Sarkar, RamRup and abdllaoui, A.El (2002):IMA Journal of Mathematics Applied in Medicine and Biology, 19, 137-161.

    6.   A space time state-space model of phytoplankton allelopathy : Mukhopadhyay, A., Tapaswi, P. K. and Chattopadhyay, J. (2003): Nonlinear Analysis: Series B Real World Applications, 4, 437-456, Pergamon Press, U.S.A.

    7.   Dynamics of nutrient-phytoplankton interaction in the presence of viral infection : Chattopadhyay, J., Sarkar, R.R. and Pal, S. (2003): BioSystems, 68, 5-17, Elsevier.

    8.   Chaos to order: preliminary experiments with a population dynamics models of three trophic levels : Chattopadhyay, J. and Sarkar, R.R. (2003): Ecological Modelling 163, 45-50.

    9.   Occurence of planktonic blooms under environmental fluctuations and its possible control mechanism – mathematical models and experimental observations : Sarkar, RamRup and Chattopadhyay, J. (2003): Journal of Theoretical Biology, 224, 501-516.

    10.   The role of environmental stochasticity in a toxic phytoplankton - non-toxic phytoplankton - zooplankton system : Sarkar, R.R. and Chattopadhyay, J. (2003): Environmetrics, 14, 775-792.

    11.    Mathematical modeling of harmful algal blooms supported by experimental findingsChattopadhyay, J. R. R. Sarkar, S. Pal (2004): Ecological complexity 1, 225-235.

    12.   The role of virus infection in a simple Phytoplankton zooplankton system.Singh, B. K, Chattopadhyay, J., Sinha, S (2004): Journal of Theoretical Biology, 231, 153-166.

    13.   Role of two toxin producing plankton and their effect on phytoplankton-zooplankton system- a mathematical study supported by experimental findings,.Sarkar, R. R., Pal, S., Chattopadhyay, J. (2005): BioSystems , 80, 11-23.

    14.   Chaos to order: Role of toxin producing phytoplankton in aquatic system,.Upadhyay, R.K., and Chattopadhyay, J. (2005) Nonlinear Analysis: Modelling and Control, 10, 1-14.

    15.   An Ecological Study of a Marine Plankton Community based on the field data collected from Bay of Bengal.Sarkar, R.R., Petrovskii, S.V., Biswas, M., Gupta,. A. and Chattopadhyay, J.: Ecological Modelling (In Press).

    16.   Influence of transmissible disease in prey species of a ratio-dependent predator-prey system, Haque, M. and Chattopadhyay, J. Journal of Biomathematics. (In Press).

    Epidemiology:

     1.   Global stability results of epidemiological models with nonlinear incidence rates : Mukherjee, D., Chattopadhyay, J., Tapaswi, P. K. (1993) Mathl. Comput. Modelling 18: 89-92. Pergamon Press, USA.

    2.   Immunity boosted by low level of exposure to infection in an SIRS model : Ghosh A. K, Chattopadhyay, J., Tapaswi, P. K. (1996): Ecological Modelling 87, 227-233, Elsevier.

    3.    Global stability results on a Susceptible-infective-immune-susceptible (SIRS) epidemic model : Tapaswi, P. K., Chattopadhyay, J.(1996) , Ecological Modelling 87, 223-226, Elsevier.

    4.    An SIRS epidemic model on a dispersive population : Ghosh, A. K., Chattopadhyay, J., Tapaswi, P. K. (2000):KJCAM 7, 693-708, Korea.

    5.   Effects of environmental fluctuations on the occurence of malignant malaria - a model based study.Chattopadhyay, J. R.R. Sarkar, S, Chaki and S, Bhattacharya (2004): Ecological Modelling 177, 179-192.



    Eco-Epidemiology:

     1.   Nonselective harvesting of a predator-prey community with infected prey : Chattopadhyay, J., Ghosal, G. and Chaudhuri, K. S. (1999): KJCAM 6, 601-616, Korea.

    2.    Pelicans at risk in Salton Sea- an eco-epidemiological study : Chattopadhyay, J. and Bairagi, N. (2001): Ecological Modelling 136, 103-112, Elsevier.

    3.    Effect of environmental fluctuation in an eco-epidemiological model on the Salton Sea : Sarkar, RamRup., Chattopadhyay, J. and Bairagi, N. (2001): Environmetrics 12, 289-300, John Willey and Sons Ltd., U.S.A.

    4.   A delay differential equation model of a predator prey system with a transmissible disease in the prey population : Chattopadhyay, J., Chatterjee, S. and Mukhopadhyay, A. (2001): Nonlinear Studies, 8, 485-501, I & S Publishers, U.S.A.

    5.   Removal of infected prey prevent limit cycle oscillations in an infected prey predator system- a mathematical study : Chattopadhyay, J., Sarkar, R.R. and Ghosal, G. (2002): Ecological Modelling, 156, 113-121, Elsevier.

    6.   Pelican at risk in Salton Sea- a delay induced eco-epidemiological model : Bairagi, N. and Chattopadhyay, J. (2002): Mathematical and Computer Modelling of Dynamical System 8, 257-272.

    7.   Effect of viral infection on the generalised Gause model of predator- prey system : Chattopadhyay, J., Mukhopadhyay, A. and Roy, P.K. (2003): Journal of Biological System 11, 19-26.

    8.    Classical predator-prey system with infection on prey population – a mathematical model : Chattopadhyay, J., Pal, S. and El abdellaoui, A. (2003): Mathematical Methods in the Applied Sciences 26, 1211-1222.

    9.   Pelicans at risk in Salton Sea - an eco-epidemiological model – II : Chattopadhyay, J., Srinivasu, P.D.N. and Bairagi, N. (2003): Ecological Modelling, 167, 199-211.

    10.   Influence of nonlinear incidence in an eco-epidemiological model of the Salton Sea : Haque, M. and Chattopadhyay, J. (2003): Nonlinear Studies 10, 373-388.

    11.    Infection on prey population may act as a biological control in ratio-dependent predator-prey modelArino, O. abdllaoui, A. E., Mikram, J. and Chattopadhyay, J (2004):. Nonlinearity 17, 1101-1116.

    12.   Disease-selective predation may lead to prey extinction,. Roy, S., Chattopadhyay, J (2005): Mathematical Methods in the Applied Sciences, 28, 1257-1267.

    13.    Virus replication factor may be a controlling agent for obtaining disease-free system in a multi-species eco-epidemiological system,,Bairagi, N., Sarkar, R.R., Roy, P.K., Chattopadhyay, J. (2005): Journal of Biological System, 13, 245-259.

    14.   Role of force of infection in an eco-epidemiological model,. Journal of Biological System Kundu, Kusumika. and Chattopadhyay, J.: (In Press).

    15.   Role of migratory bird population in a simple eco-epidemiological model,.Chatterjee, S. and Chattopadhyay, J. Mathematical and Computer Modelling of Dynamical System (In Press).

    16.   A ratio-dependent eco-epidemiological model of the Salton Sea,. Kundu, Kusumika. and Chattopadhyay, J. Mathematical Methods in the Applied Sciences. (In Press).

    17.   Controlling disease in migratory bird population- A probable solution through mathematical study,. Chatterjee, S. Ghosh, A, K., and Chattopadhyay, J. Dynamical System (In Press).

    18.   Influence of transmissible disease in prey species of a ratio-dependent predator-prey system,. Haque, M. and Chattopadhyay, J. Journal of Biomathematics. (In Press).

    Visiting Assignments:

    1. University of Urbino, Italy from April 28 - June 30, 1996 to work on Eco-epidemiological system with Professor E. Beretta.
    2. H.C. Orsted Institute, Copenhagen, from July 1- July 15, 1996 Denmark to work on Pattern formation with special emphasis on time dependent diffusion coefficients with Professor A. Hunding.
    3. INRIA, France, from July 16-July 27, 1996 to work on Ecological system with Professor J.L. Gouze.
    4. University of Pau, France from July 28-Aug 18, 1996 to work on eco-epidemiological system with Professor O. Arino.
    5. INRIA, France, from November 16 - December 16, 1997 to work on Eco-epidemiological system with Professor J.L. Gouze.
    6. IRD, Paris, France under an IRD grant (ESCD) from June 1- August 31, 2000 to work on ecological and eco-epidemiological system with Professor O. Arino.
    7. University of Neuchatel, Switzerland from November 1- December 15, 2000 to work on Food web with Dr. Louis-Felix Bersier.
    8. IRD, Paris, France under an IRD grant (ESCD) from June 3 – August 1, 2002 to work on ecological and eco-epidemiological system with Professor O. Arino.
    9. IRD, Paris, France under an IRD grant (ESCD) from June 1- July 31, 2003 to work on ratio-dependent predator-prey system with Professor O. Arino.



    Passion:

  • Recitation, writing poem





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    Last Modified Dec, 2005
    Joydev Chattopadhyay / joydev@isical.ac.in