Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach

Eco-epidemiological model plays a crucial role in maintaining ecological balance and biological invasions. In this paper, we propose a predator-prey model where the predator population is infected by the disease. The non-negativity and boundedness of the solution are addressed. The existence and stability of equilibrium are discussed by an invasive approach. Numerical simulations are used to demonstrate the competitive and exclusion, and oscillation behaviors of the model. Interestingly, the predation rate of the infected predator is shown to have far-reaching implications for the structure and stability of ecological communities.