M.Sc., Ph.D.

Mathematical ecology

38 years

5 years

27 years

6 students

Nil

1. National Conference on Mathematical Modelling of Biological, Ecological and Environmental Systems held at the Department of Mathematics, Jadavpur University, Calcutta-700 032, March 26-28, 1999.
2. International Conference in Current Trends in Differential Equations and Dynamical Systems at Indian Institute of Technology, Kanpur, December 15-17, 2001.
3. Conference on Current trends in Mathematics in Allahabad University, India, November 9-10, 2002
4. International conference Mathematical Biology at Indian Institute of Technology, Kanpur, February 19-21, 2004
5. Workshop on Nonlinear Dynamical Models and their Behaviour at Indian Institute of Technology, Roorkee, March, 11-13, 2005.
6. International Symposium on Recent Advances in Mathematics and its Applications. Calcutta Mathematical Society, December 17-19, 2005.
7. International Conference on Mathematical Modelling and Computer Simulation at LNMIIT, Jaipur, December 12-15, 2006.
8. One Day Colloquium on Mathematical Biology and Ecology, held on 20th February ,2009,Jadavpur University, Kolkata – 700032.
9. National Conference on Mathematical Sciences and Applications : State of the Art held during January , 2010 organized by the Department of Mathematics and the Centre for Mathematical Biology& Ecology , Jadavpur University.
10. National conference on Theoretical Biology and Biomathematics, held on 15-16,December,2010,organized by Centre for Mathematical Biology and Ecology and Department of Mathematics, Jadavpur University.

11. International Conference on Advances in Modelling, Optimization and Computing organized by the Department of Mathematics, IIT Roorkee, held on December 5-7, 2011.
12. 4th Conference on Computational and Mathematical

1.D. Mukherjee, 2002, Persistence and global stability of a population in a polluted environment with delay, J. Biol. Systems 3 : 225-232.








2. D. Mukherjee, 2003, Permanence and global attractivity for facultative mutualism system with delay, J. Math. Methods in Applied Science 26 : 1-9.
3. D. Mukherjee, 2003, Persistence in a prey-predator system with disease in the prey, J. Biol. Systems 11 : 101-112.

4. D. Mukherjee, 2003, Persistence and bifurcation analysis on a predator-prey system of Holling type, J. Math. Mod. And Numer. Anal. 37 : 339-344.

5. D. Mukherjee, 2003, Stability analysis of a stochastic model for prey-predator system with disease in the prey, J. Nonlinear Anal. Mod. and Control. 8 : 83-92.

6. P. Das and D. Mukherjee, 2004, Hopf bifurcation and permanence analysis of an S-I epidemic model with delay, J. Biol. Systems 12: 169-177.

7. D. Mukherjee, 2005, Coexistence of competing prey with a shared predator, Math. and Comp. Mod. of Dynamical Systems 11 : 111-121.

8.D. Mukherjee, 2005, Effect of diffusion on a two-species eco-epidemiological model, Math. and Comp. Mod. of Dynamical Systems 11: 447-457.

9.P. Das, D. Mukherjee and A. K. Sarkar, 2005, Study of a Carrier Dependent Infectious Disease: Cholera, J. Biol. Systems 13: 233-244.

10. P. Das, D. Mukherjee and A. K. Sarkar, 2005, Analysis of a Disease Transmission Model of Hepatitis C, J. Biol. Systems 13: 331-339.

11.D. Mukherjee, 2006, A delayed prey-predator system with parasitic infection. BioSystems 85: 158-164.

12.P. Das, D. Mukherjee and A. K. Sarkar, 2006, A study of schistosome transmission dynamics and its control. J. Biol. Systems 14: 295-302.

13.P. Das and D. Mukherjee, 2006, Qualitative study of a model of Chagas’ disease. Math. and Comp. Modelling 43: 413-422.

14.D. Mukherjee, 2006, Effect of delays in persistence and stability in a nutrient based ecosystems. J. Non-linear Phenomena in Complex System 9: 360-369.

15.P. Das, D. Mukherjee and A. K. Sarkar, 2007, Effect of delay on the Model of American Cuteneous Leishmaniasis. J. Biol. Systems 15: 139-147.

16. D. Mukherjee ,2008,Effect of delay on two competing organism in a polluted environment, Int. J. of Biomath. 1 : 475-485.

17.A.Sen and D. Mukherjee, 2009, Chaos in the delay logistic equation with discontinuous delays, Journal of Chaos, Solitons and Fractals 40: 2126-2132.

18. P. Das, Z. Mukandavire, C. Chiyaka, A. Sen, D. Mukherjee, 2009, Bifurcation and Chaos in S-I-S Epidemic Model. DEDS. 17: 393-417.

19.K.Das and D.Mukherjee,2009.Persistence aspects of an epidemic model of Chagas disease.Tamsui Oxford Journal of Mathematics.25 : 301-311.

20.A. Sen, D. Mukherjee P.Das and B. C. Giri, 2010, Stable Hopf-bifurcation in a Model for the Respiratory Process of Bacterial Culture, Bull. Cal. Math. Soc. 102: 561-568.

21.D. Mukherjee,2010. Hopf bifurcation in an eco-epidemic model. Applied Mathematics and Computation. 217 : 2118-2124.

22. P. Das, D. Mukherjee , A. Sen, Z. Mukandavire, C. Chiyaka. 2011. Analysis of an in-host model for HIV dynamics with saturation effect and discrete time delay, Nonlinear Dynamics and System Theory 11: 125–136.

23.A.Sen, D. Mukherjee, B.C. Giri, P. Das, 2011, Stability of Limit Cycle in A Prey Predator System with Pollutant, Journal of Applied Mathematical Sciences, 5:1025 – 1036.

24. A. Sen and D. Mukherjee, 2011. Study of stability of a discrete two-predators and one prey model, Int. J. Contemp. Math. Sciences, 6: 637-646.

25. A. Sen and D. Mukherjee, 2011, Study of a discrete prey-predator system with Holling Type-IV response function. J. Mathematical Forum ,XXIII :17-35.

26.P. Das, D. Mukherjee and A. K. Sarkar, 2011, Study of an S-I epidemic model with nonlinear incidence rate : Discrete and Stochastic version. Applied Mathematics and Computation. 218 : 2509-2515.

27.D. Mukherjee, P. Das, D. Kesh, 2011, Dynamics of a Plant-Herbivore Model with Holling Type II Functional Response, Computational and Mathematical Biology, Issue 2(1).

28.P.Das and D.Mukherjee,2012,Qualitative analysis of a Cholera Bacteriophase model. ISRN Biomathematics.Vol.2012.doi:10.5402/2012/621939.

29.D. Mukherjee,2012, Persistence in generalized prey-predator model with prey reserve. Int. J. Nonlinear Science.14 : 160-165.

30.D. Mukherjee,2012, Bifurcation and stability analysis of a prey-predator system with reserved area. World J. Modelling & Simul.8 : 285-292.

31.P.Das, D. Mukherjee, K. Das and A.Sabarmathi,2012,Fluctuating role of parameters in the analysis of the continuous and discrete version of a susceptible-incubated-infected model. International J. Modern Nonlinear Theory and Application. 1 :47-50.

32.D.Mukherjee,2014,The effect of prey refuges on a three species food chain model. Diff. Eqns.& Dyn.Syst.22: 413-426.

33.P.Das,N.H.Gazi,K.Das and D.Mukherjee,2014. Stability analysis of a swine flu transmission- A mathematical approach. Comp. and Math. Biol. Issue 3(1).

34. P. Das, D. Mukherjee and K.Das,2014. Chaos in a prey-predator model with infection in predator- A parameter domain analysis. Comp. and Math. Biol. Issue 3(4).

35. D.Mukherjee,2016.Persistence aspect of a predator-prey model with disease in the prey Diff. Eqns.& Dyn.Syst.24 : 173-188.

36. D.Mukherjee,2016, The effect of refuge and immigration in a predator-prey system in the presence of a competitor for the prey. Nonlinear Analysis :RWA.31 :277-287.

37. D. Mukherjee, 2016. Delay induced oscillation in a nutrient-plant-herbivore system with plant toxicity. World Journal of Modelling and Simulation . 12 : 83-96.

38.P.Ghosh, P. Das and . D. Mukherjee. 2016. Persistence and stability of a seasonally perturbed three species stochastic model of salmonoid aquaculture. Diff. Eqns. & Dyn. Syst. DOI 10.1007/s 12591-016-0283-0.

39. P. Ghosh, P. Das and . D. Mukherjee. 2016.Chaos to order- Effect of random predation in a Holling type IV tri-trophic food chain system with closure terms. Int. J. Biomathematics. DOI : 10.1142/S179352451650073X.

40. D. Mukherjee. 2016. Dynamics of an eco-epidemic model with stage structure for predator. J. of Mathematical Modeling. 4 :103-115.

41. D. Mukherjee. 2016. Study of refuge use on a predator-prey system with a competitor for the prey. Int. J. Biomathematics. DOI : 10/1142/S1793524517500231.

42. C. Maji, D. Mukherjee, D. Kesh. 2017. Persistence and global stability of a Leslie-Gower predator-prey refuge system with a competitor for the prey. Commun. Math. Neorosci. 2017: 19.

43.C. Maji, D. Kesh, D. Mukherjee. 2017. The effect of predator density dependent transmission rate in an eco-epidemic model. Diff. Eqns. & Dyn. Syst. DOI : 10.1007/s 12591-016-0342-6.

44. C. Maji, D. Mukherjee, D. Kesh. 2018. Deterministic and stochastic analysis of an eco-epidemiological model. J. Biol. Phys. 44 :17-36.

45. P. Ghosh, P. Das and . D. Mukherjee. 2018. Effect of environmental variation in a prey-predator fishery with harvesting in presence of toxicity. World Journal of Modelling and Simulation.14 : 181-191.

46. D. Mukherjee. 2018. Plant responses to disease and herbivore attack : a mathematical model.2018. Commun. Math. Neorosci. 2018. DOI : org/10.28919/cmbn/3634.

47. D. Mukherjee.2018. Dynamics of defensive volatile of plant modeling tri-trophic interactions. Int. J. Nonlinear Science. 25 :76-86.

48. R. Mondal, D. Kesh. D. Mukherjee. 2018. Influence of induced plant volatile and refuge in tri-trophic model. Energy Ecology & Environment. DOI. Org./10.1007/s40974-018-0092-0.

49. S. Sengupta, P. Das , D. Mukherjee. 2018. Stochastic non-autonomous Holling type-III prey-predator model with predator’s intra-specific competition. Discrete Contin. Dyn. Syst. Ser B 23 : 3275-3296.

50. R. Banerjee, P. Das, D. Mukherjee. 2018. Stability and permanence of a discrete- time two prey- one predator system with Holling Type-III functional response. Chaos, Solitons and Fractals 117: 240-248.

51. . R. Mondal, D. Kesh. D. Mukherjee. 2018. Influence of competition in modelling dynamics of plant defense with induced volatile. Modelling Earth Systems and Environment. 4: 1197-1211.

52. D. Mukherjee. 2019. Effect of constant immigration in plant- pathogen- herbivore interactions. Mathematics and Computers in Simulation. 160 : 192-200.

53. R. Mondal, D. Kesh. D. Mukherjee. 2019. Role of induced volatile emission modelling tri-trophic interaction. . Diff. Eqns. & Dyn. Syst. DOI : 10.1007/s 12591-019-00458-y.

54. C. Maji, D. Kesh, D. Mukherjee. 2019. Bifurcation and global stability in an eco- epidemic model with refuge. Energy Ecology & Environment. DOI. Org./10.1007/s40974-019-00117-6.

55. D. Mukherjee, R. Mondal. 2020. Dynamical analysis of a fractional order prey-predator system with a reserved area. Journal of Fractional Calculus and Applications. 11 : 54-69.

56. C. Maji, D. Mukherjee, D. Kesh. 2020. Study of a fractional -order model of chronic wasting disease. Math. Meth. Appl. Sci; 1-14. DOI: 10.1002/mma.6225.

57. R. Banerjee, P. Das, D. Mukherjee. 2020. Global dynamics of a Holling Type-III two prey- one predator discrete model with optimal harvest strategy. Nonlinear Dynamics. DOI: 10.1007/s11071-020-05490-0.

58. D. Mukherjee. 2020. Study of fear mechanism predator-prey system in the presence of competitor for the prey, Ecological Genetics and Genomics. 15100052.

59. D. Mukherjee, 2020. Role of fear in predator-prey system with intraspecific competition. Math. Comp. Simul. 177 : 263-275.

60. D. Mukherjee, C. Maji. 2020. Bifurcation analysis of a Holling type II predator-prey model with refuge. Chinese J. of Physics. 65: 153-162.

61. C. Maji, D. Mukherjee. 2020. Dynamical analysis of a fractional-order model incorporating fear in the disease transmission rate of severe infectious diseases like COVID-19. 2020. Mathematics in Applied Sciences and Engineering. 1-17.doi.org/10.5206/mase/10745.

62. R. Mondal, D. Kesh, D. Mukherjee. 2020. Dynamical analysis of a fractional order Rosenzweig-MacArthur model incorporating herbivore induced plant volatile. Chinese J. of Physics. 68: 258-269.

63. P. Das, D. Mukherjee, K. Das, MN Srinivas, 2020. Hepatitis b infection and its control: Deterministic and stochastic analysis. Int. J. Stat. Appl. Math. 5: 84-95.

64. D. Mukherjee. 2021. Effect of fear on a two predator-one prey model in deterministic and fluctuating environment. Math. Appl. Sci. Eng. 2: 55-71.

65. D. Mukherjee. 2021. Impact of predator fear on two competing prey species. Jambura J. Biomathematics. 2: 1-12.

66. D. Mukherjee. 2021. Stochastic dynamics of a facultative mutualism system in a polluted environment. Int. J. Appl. Comput. Math. 7: 52.doi.org/10.1007/s40819-021-00977-9.

67. R. Mondal, S. Saha, D. Kesh, D. Mukherjee. 2021. Basin transition and alternative states: Role of multi-species herbivores-induced volatile in plant-insect interactions. Bull. Math. Biol. 83: 100.

68. D. Mukherjee. 2022. Dynamical study of non-integer order predator-prey system with fear effect. Int. J. Mod. Simul. 42: 441-449.

69. C. Maji, F. A. Basir, D. Mukherjee, K. S. Nisar, C. Ravichandran. 2022. COVID-19 propagation and the usefulness of awareness-based control measures: A mathematical model with delay. Mathematics. 7: 12091-12105.

70. D. Mukherjee. 2022. Dynamics of a discrete predator-prey system with fear effect and density dependent birth rate of the prey species. Math. Appl. Sci. Eng. 3:50-59.

71. D. Mukherjee. 2022. Stochastic analysis of an eco-epidemic model with biological control. Meth. Comp. Appl. Prob.doi.org/10.1007/s11009-022-09947-0.

72. D. Mukherjee. 2022. The effect of interference time in a predator-prey-nonprey system. Int. J. Mod. Simul. Sci. Comp. doi.org/10.1142/S1793962322500222.

73. D. Mukherjee. 2022. Stability and bifurcation of a two competing prey-one predator system with anti-predator behavior. Jambura J. Biomathematics. 3: 1-6.

74. D. Mukherjee. 2022. Fear induced dynamics on Leslie-Gower predator-prey system with Holling type IV functional response. Jambura J. Biomathematics. DOI: 10.34312/jjbm.v3i2.14348.

75. R. Banerjee, S. Das, P. Das, D. Mukherjee. 2023. In the presence of fear and refuge: Permanence, bifurcation and chaos control of a discrete-time ecological system. Int. J. Mod. Simul. Sci. Comp. doi.org/10.1142/S1793962323500095.

76. D. Mukherjee. 2022. Global stability and bifurcation analysis in a discrete-time two-prey-one predator model with help. International Journal of Modeling and Simulation.doi.org/10.1080/02286203.

77. D. Mukherjee, 2022. Dynamics of a discrete-time ecogenetic predator-prey model. Commun. Biomath. Sci. 5: 161-169.

78. D. Pal, D. Kesh, D. Mukherjee, 2023. Qualitative study of cross-diffusion and pattern formation in Leslie-Gower predator-prey model with fear and Allee effects. Chaos, Solitons and Fractals. 167: 113033.

79. D. Mukherjee, 2023. Global stability and bifurcation analysis in a discrete-time two predator-one prey model with Michaelis-Menten type prey harvesting. Communications in Advanced Mathematical Sciences. 6: 1-18.

80. D. Pal, D. Kesh, D. Mukherjee, 2023. Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect. Math. Appl. Sci. Eng. DOI. Org/10.5206/mase/15231.

81. D. Mukherjee, 2023. Qualitative study of a discrete-time harvested fishery model in the presence of toxicity. Journal of Mathematical Sciences and Modelling. 6 : 65-75.

82. C. Mondal, D. Kesh, D. Mukherjee, 2023. Bifurcation and global stability of a discrete prey-predator model with saturated prey refuge. Math. Meth. Appl. Sci. 1-21.

83. C. Mondal, D. Kesh, D. Mukherjee, 2023. Global stability and bifurcation of an infochemical induced three species discrete-time phytoplankton-zooplankton model. Chaos, Solitons and Fractals. 176 , 114136.

84. . D. Pal, D. Kesh, D. Mukherjee, 2024. Cross-diffusion mediated spatiotemporal patterns in a predator-prey system with hunting cooperation and fear effect. Math. Comp.Siml. 220, 128-147.
85. R. Mondal, D. Kesh, D. Mukherjee, S. Saha, 2024. Impact of volatile mediated indirect defense response of plant and herbivore refuge in tritrophic cascade. Diff. Eqns. Dyn. Syst.
Doi.org/10.1007/s12591-024-00682-1.
86. C. Mondal, D. Kesh, D. Mukherjee, 2024, Dynamical behavior of a discrete-time predator-prey system incorporating prey refuge and fear effect. Chinese Journal of Physics (in press).
87. D. Pal, S. Ghorai, D. Kesh, D. Mukherjee, 2024. Hopf bifurcation and patterns formation in a diffusive two prey-one predator system with fear in preys and help. Applied Mathematics and Computation 481 (2024) 128927.