Effects of additional food in a susceptible-exposed-infected prey–predator model

Abstract

In this paper, we propose a susceptible-exposed-infected prey–predator model supplying additional food to predator. We discuss the existence and the local stability conditions of both the disease free and endemic equilibrium points. Basic reproduction number is determined. The impact of additional food on infected prey population is discussed. Numerical simulation results establish that there exists a critical infection rate above which disease present in the system in absence of additional food. However, in such case supply of suitable additional food can make the system disease free. We compute the disease free regions in various parametric planes. Effects of variation of latent period is presented. Season dependent infection rate is also introduce in the system and the role of additional food is discussed. The main goal of this study is to show the non-trivial consequences of providing additional food for controlling infection in a diseased predator–prey system. This study is aimed to introduce a new non-chemical method for controlling disease of prey population.