Dynamical Behavior of an Eco-Epidemiological Model with Disease in Predator

Palash Mandal

Abstract: A predator-prey model with parasitic infection spread in predator population is considered. The predator population is divided into two groups, namely susceptible predator, infected predator whereas the prey population remains free from infection. The existence of various equilibrium points and local stability analysis at those equilibrium points has been discussed. It has been observed that a Hopf-bifurcation may occur about the interior equilibrium point taking rate of parasitic infection parameter is bifurcation parameter. All the important analytical findings are numerically verified.

Keywords: Eco-epidemiological model, Infected Predator, Stability, Oscillation, Hopf- bifurcation