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Role of predator switching in an eco-epidemiological model with disease in the prey

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  • Mukhopadhyay, B.
  • Bhattacharyya, R.

Abstract

In the present paper we propose a modification of a basic eco-epidemiological model by incorporating predator switching among susceptible and infected prey population. A local and global study of the basic model is performed around the disease-free boundary equilibrium and the interior equilibrium to estimate important parameter thresholds that control disease eradication and species coexistence. Next we analyze the switching model from the same perspective in order to elucidate the role of switching on disease dynamics. Numerical simulations are carried out to justify analytical results.

Suggested Citation

  • Mukhopadhyay, B. & Bhattacharyya, R., 2009. "Role of predator switching in an eco-epidemiological model with disease in the prey," Ecological Modelling, Elsevier, vol. 220(7), pages 931-939.
    • Handle: RePEc:eee:ecomod:v:220:y:2009:i:7:p:931-939
    DOI: 10.1016/j.ecolmodel.2009.01.016
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    References listed on IDEAS

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    1. Mainul Haque & Joydev Chattopadhyay, 2007. "Role of transmissible disease in an infected prey-dependent predator -- prey system," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 13(2), pages 163-178, April.
    2. Frank Hilker & Horst Malchow, 2006. "Strange Periodic Attractors in a Prey-Predator System with Infected Prey," Mathematical Population Studies, Taylor & Francis Journals, vol. 13(3), pages 119-134.
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    Cited by:

    1. Lu, Yang & Li, Dan & Liu, Shengqiang, 2016. "Modeling of hunting strategies of the predators in susceptible and infected prey," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 268-285.
    2. Ali, Zeeshan & Rabiei, Faranak & Hosseini, Kamyar, 2023. "A fractal–fractional-order modified Predator–Prey mathematical model with immigrations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 466-481.
    3. Sahoo, Banshidhar, 2015. "Role of additional food in eco-epidemiological system with disease in the prey," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 61-79.

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