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Disease-Induced Chaotic Oscillations and its Possible Control in a Predator–Prey System with Disease in Predator

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Abstract

The effect of parasites and pathogens in prey populations received a lot of attention but disease in predator population has been studied comparatively little in literature. In the present paper we consider a predator–prey model with disease in predator population. We analyze the local stability of model system around the equilibria. We derive the ecological as well as disease basic reproduction numbers and study the community structure of model system by these numbers. We work out the conditions of Hopf bifurcation and persistence of system. Our numerical results reveals that system shows chaotic dynamics for increasing the infection in predator. It is also observe that half saturation constant is responsible for occurrence and control of chaos.

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The authors are grateful to the reviewer for their helpful comments and suggestions.

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  1. Mahadevananda Mahavidyalaya, Monirampore, P.O.-Barrackpore, Kolkata, 700120, India

    Krishna pada Das

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  1. Krishna pada Das
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Das, K.p. Disease-Induced Chaotic Oscillations and its Possible Control in a Predator–Prey System with Disease in Predator. Differ Equ Dyn Syst 24, 215–230 (2016). https://doi.org/10.1007/s12591-015-0249-7

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