ASYMPTOTIC PROPERTIES OF A STOCHASTIC ECO-EPIDEMIOLOGICAL MODEL WITH FEAR EFFECT AND HUNTING COOPERATION

In this paper, we put forward and analyze a stochastic eco- epidemiological model with disease in the prey population, which incorporates fear effect of predators on prey and hunting cooperation among predators. We find out sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by using the stochastic Lyapunov function methods. Moreover, we also derive sufficient criteria for extinction of the infected prey population and the predator population. Additionally, we give the specific expression of the probability density function of the stochastic model near the unique endemic quasi-equilibrium by solving the Fokker-Planck equation. In the end, the supporting theoretical results are verified by numerical simulation.