Dynamics of an eco-epidemiological model with nonmonotonic functional response of susceptible predator on prey species

Abstract

In this study, a predator–prey population model has been described with disease in the predator species. This is a three-dimensional study comprising of a prey and a predator taken in two different groups such as susceptible and infected predator species. Dynamical behavior of the spread of the disease having the potential to become epidemic has been discussed. Parametric conditions are determined for the control of disease outbreak. Some basic properties like boundedness, persistence of the system have been ensured. Minimal conditions are framed, in such way that the disease can be naturally controlled. Different qualitative behavior like stability, bifurcation and numerical simulations has been performed. Substantial numerical simulations have been carried out in order to validate the obtained theoretical results.