Intraguild predation model with disease

Abstract

Ecosystem stability is an important issue in conservation of biodiversity. The stability of predator prey systems or competitive systems has been studied extensively. Although the two fields have been the subject of widespread research recently, no work has been done to study the effect of a disease on an environment where three species; predator, prey and resource present. Here we analyze modification of Intraguild Predation (IGP) model to account for a disease spreading among prey. We chose the simplest epidemiological model, SI model. Here, we consider the simple mass action incidence. We analyze the stability equilibrium points by using Ruth-Hurwitz criteria. Numerical examples will be introduced to show the stability point. The result seems to indicate that either the disease dies out or both species eventually become infected.