数学杂志2026，Vol.46Issue(1)：39-48,10.
一类生态流行病模型的稳定性分析
STABILITY ANALYSIS OF A CLASS OF ECOLOGICAL EPIDEMIC MODELS
摘要
Abstract
In this paper,the stability of a class of ecoepidemiological model solutions with diffusion terms is studied.The eigenvalue method was used to obtain the local stability of the non-negative constant equilibrium point.By constructing a suitable Lyapunov function,the global stability of the semi-coexistence equilibrium point and the full coexistence equilibrium point is generalized,and finally,the global stability of the total coexistence equilibrium point is verified by numerical simulation.This study provides mathematical support for understanding the regulatory role of disease in the ecosystem.关键词
捕食系统/生态流行病模型/反应扩散方程/稳定性/Lyapunov函数Key words
predatory system/ecological epidemic model/reaction diffusion equation/stability/Lyapunov function分类
数理科学引用本文复制引用
罗文静,王辉,苏有慧..一类生态流行病模型的稳定性分析[J].数学杂志,2026,46(1):39-48,10.基金项目
国家自然科学基金项目资助(12426515). （12426515）
