Analysis of an Eco-Epidemiological Model Considering Effect of Harvesting and Prey Refuge  

作　　者：Aihua Kang Aihua Kang(College of General Education, Shanxi College of Technology, Shuozhou, China)

机构地区：[1]College of General Education, Shanxi College of Technology, Shuozhou, China

出　　处：《Applied Mathematics》2022年第9期733-744,共12页应用数学（英文）

摘　　要：In this work, we analyze an eco-epidemiological model with the disease in the prey, considering a constant proportion of harvesting of either species or a prey refuge. The positive invariant set, the conditions of existence, and locally asymptotically stability of the equilibria are studied using the stability theory of ordinary differential equation. The global stability of border equilibria by constructing Lyapunov functions and permanence of the system by comparison theoremare proved. The numerical simulation further proved the correctness of the theoretical analysis. The result indicates that overfishing would lead to population extinction and a reasonable fishing strategy should keep the coexistence of populations.In this work, we analyze an eco-epidemiological model with the disease in the prey, considering a constant proportion of harvesting of either species or a prey refuge. The positive invariant set, the conditions of existence, and locally asymptotically stability of the equilibria are studied using the stability theory of ordinary differential equation. The global stability of border equilibria by constructing Lyapunov functions and permanence of the system by comparison theoremare proved. The numerical simulation further proved the correctness of the theoretical analysis. The result indicates that overfishing would lead to population extinction and a reasonable fishing strategy should keep the coexistence of populations.

关 键 词：REFUGE HARVESTING Eco-Epidemiological Model PERMANENCE 

分 类 号：O175[理学—数学]