A strategy for a disease-free system- an eco-epidemiological model based study

Article Type

Research Article

Publication Title

Journal of Applied Mathematics and Computing

Abstract

The present paper deals with an eco-epidemiological model consisting of susceptible prey, infected prey and predator. We assume that the recruitment of prey follows the saturating functional form due to habitat saturation. We make a general assumption of the non-restricted conversion rate of the predator population due to consumption of the infected prey population. We study the existence and stability criteria of the equilibrium points. Our results suggest that the predator population may be eliminated from the system due to the negative effect of infected prey; however, the negative impact can be buffered by the alternative food. Alternative food helps predator population to survive and makes the system disease free. The outcomes from the model are verified numerically by taking a set of biologically feasible parameter values.

First Page

563

Last Page

590

DOI

10.1007/s12190-016-1050-7

Publication Date

10-1-2017

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