Dynamical Behaviour of Prey-Predator Model in the presence of Susceptible-Infected-Recovered (SIR) Epidemic Disease in the Prey

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B. Divya, K. Kavitha

Abstract

The dynamics of infectious disease between prey populations are studied using a nonlinear mathematical model proposed in this paper. We investigate the model's existence, uniqueness, and limitations.Further, we incorporate theHolling type II functional response and the equilibrium points are determined. Finally, the stability analysis of the system is analysed using the Jacobian matrix and the next-generation matrix method.To explain analytic results, computational simulations are carried out.

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