Bifurcation Analysis of Eco-Epidemiological Mathematical Model with Saturated Incidence Rate and General Holling Type Response Functions

Abstract

In this paper, we use bifurcation analysis to explore eco-epidemiological dynamics with general Holling Type response functions through in which the prey population is infected and predator population consumes both susceptible and infected prey. The solution’s existence, uniqueness, positivity, and boundedness are described. Different fixed points including the disease free are demonstrated, and the basic reproduction number is justified. The findings of this study indicates the feeding efficiency of the predator is high if the infection decreases. Applying Sotomayor’s theorem existence of local and Hopf bifurcation near to equilibrium points for some bifurcation parameters are justified. A number of numerical simulations are carried out using MATLAB software, which also produces graphical representations of the results, in order to verify our analytical findings.