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PROPER PREDATION MAKES THE SYSTEM DISEASE FREE — CONCLUSION DRAWN FROM AN ECO-EPIDEMIOLOGICAL MODEL

SAMRAT CHATTERJEE

Agricultural and Ecological Research Unit Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

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M. BANDYOPADHYAY

Department of Mathematics, Scottish Church College, Kolkata-700006, India

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, and

J. CHATTOPADHYAY

Agricultural and Ecological Research Unit Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

Corresponding author.

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https://doi.org/10.1142/S0218339006001970Cited by:20 (Source: Crossref)

Abstract

In the present paper, an eco-epidemiological model consisting of susceptible prey, infected prey and predator has been proposed and analyzed. We have obtained conditions for the existence and persistence of all the three populations. To study the global dynamics of the system, numerical simulations have been performed. Our simulation results show that the system enters into quasi-periodic solutions or chaotic depending upon the choice of system parameters. To confirm the chaotic behavior of the system, we have calculated Lyapunov exponent and constructed Poincare section. Our analysis reveals that the infection and predation rates specially on the infected prey population are the key parameters that play crucial roles for controlling the chaotic dynamics of the system.

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