基于广义Lyapunov方法的植物传染病模型的全局动力学

Global Dynamics for a Plant Disease Model Based on Generalized Lyapunov Approach

本文研究了按比率p移除易感植株为控制措施的一类Lotka-Volterra Filippov型植物传染病模型。讨论了无病平衡点和地方病平衡点的存在性和稳定性以及伪焦点的存在性。通过构造合适的非光滑的Lyapunov函数利用广义Lyapunov方法研究该模型在不同经济阈值下的全局动力学,得到三个结果。

In this paper, a Lotka-Volterra Filippov plant infectious disease model was studied with the removal of susceptible plants at a ratio of p as control measure. The existence and stability of disease-free equilibrium and endemic equilibrium and the existence of false focus were discussed. By constructing appropriate non-smooth Lyapunov functions and using the generalized Lyapunov method, the global dynamics of the model under different economic thresholds were studied, and three results were obtained.