编号：WZUT-2024-001

标题：Dynamics of a predator-prey system with inducible defense and disease in the prey

入藏号：WOS: 000898879200003

中科院期刊分区：2

本院作者：刘鑫鑫

来源出版物：Nonlinear Analysis: Real World Applications 卷: 71 

出版年：2023

关键词：Predator-prey model; Inducible defense; Eco-epidemiology; Stability; Hopf bifurcation

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摘要：

Establishing and researching a population dynamical model based on the differential equation is of great significance. In this paper, a predator-prey system with inducible defense and disease in the prey is built from biological evolution and Eco-epidemiology. The effect of disease on population stability in the predator-prey system with inducible defense is studied. Firstly, we verify the positivity and uniform boundedness of the solutions of the system. Then the existence and stability of the equilibria are studied. There are no more than nine equilibrium points in the system. We use a sophisticated parameter transformation to study the properties of the coexistence equilibrium points of the system. A sufficient condition is established for the existence of Hopf bifurcation. Numerical simulations are performed to make analytical studies more complete.

链接：https://doi.org/10.1016/j.nonrwa.2022.103802