Dynamic Analysis of a Predator-Prey Ecological Epidemic Model with Holling Ⅱ Functional Response and Shelter Effect
To investigate the combined effects of prey refuge and fishing on the dynamic behavior of ecosystems,a predator-prey eco-epidemiological model with fishing terms,prey refuge effect,and Holling Ⅱ functional re-sponse function is proposed.The positivity and uniform boundedness of the model's solution on the feasible do-main are obtained,and the basic threshold dynamics of the model are presented.Subsequently,the local asymptot-ic stability and global stability of each equilibrium point of the system are discussed using Hurwitz criterion,Du-lac criterion,and Lyapunov function,respectively.The results indicate that fishing is a crucial factor affecting the extinction of diseases in prey populations,and it also has a certain impact on the growth of predator populations.
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