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Analysis of an Eco-Epidemiological Model Considering Effect of Harvesting and Prey Refuge
College of General Education, Shanxi College of Technology, Shuozhou, China
- 1 College of General Education, Shanxi College of Technology, Shuozhou, China
Applied Mathematics·Volume 13 (2022)·Pages 733–744·Published 1 September 2022·DOI10.4236/am.2022.139045
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Abstract
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.
KeywordsRefugeHarvestingEco-Epidemiological ModelPermanence
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