Stability analysis of a predator prey system with disease in the prey

Abstract

It is more of biological significance to consider the effect of interacting species when we study the dynamical behaviour of epidemiological models. We have considered population in a predator prey system with disease in the prey that is divided into three classes: the Susceptible, the Infected but not infectious and the Infectious classes. Stability analysis shows that the disease free equilibrium is globally and asymptotically stable in the domain D if the reproduction number R₀ < 1 . Its epidemiological implication is that the infected but not yet infectious and the infectious prey population vanishes so the disease in the prey die out.

Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 215 – 222