Complex dynamics and its stabilization in an eco-epidemiological model with alternative food

Abstract

The present paper deals with a predator-prey system with disease in the predator population and we have also studied the effect of alternative food on the system dynamics. We have analyzed the local stability of the biological feasible equilibria and introduced the concept of the ecological and the disease basic reproduction numbers. We have observed the community structure of our model system. We have performed extensive numerical simulation to observe the global behavior of our system. We have observed stable focus, limit cycle, period-doubling and chaos for variation of the force of infection. It is observed that when the infection level increases, the system enters into chaos from stable focus. We have also observed the role of alternative food on the chaotic dynamics. When the alternative food increases, the system remains chaotic dynamics but when the alternative food decreases, the system enters into a stable focus from chaos.

On the Dynamics of an Eco-Epidemiological System Incorporating a Vertically Transmitted Infectious Disease

“…They assumed that the stages are existing in prey and predator, while the infection occurs in the prey population only. Das [12] proposed and studied an eco-epidemiological system in which the disease exists in the predator population. He studied the effect of alternative food on the system dynamics.…”