Abstract:
A kind of eco-epidemiological model considering herd behavior and disease transmission among predators was studied. Its main purpose was to explore conditions of steady-state change and key parameters of branch occurrence. The existence and local asymptotic stability of equilibrium points, the conditions for the occurrence of bifurcation (transcritical bifurcation, saddle node bifurcation, Hopf bifurcation) were discussed theoretically. Further, the numerical simulation were given to verify the correctness of the theoretical analyses. The results showed that the disease infection rate, the mortality rate of the predator and the predation rate could affect the stability of the model.