A stochastic predator-prey eco-epidemiological model with hunting cooperation

Cooperative hunting can increase the predator's hunting ability. In this work, we study a stochastic eco-epidemiological predator-prey model incorporating hunting cooperation. By constructing appropriate auxiliary functions, we establish a sufficient criterion for the existence of a unique ergodic stationary distribution. The findings imply that cooperative hunting has a significant effect on the density of infected predators when the epidemic is protracted.