信阳师范学院学报（自然科学版）2024，Vol.37Issue(2)：210-215,6.DOI:10.3969/j.issn.1003-0972.2024.02.012
带有羊群效应的生态-传染病模型动力学分析
Dynamics Analysis of an Eco-epidemic Model with Herding Effect
摘要
Abstract
A kind of eco-epidemiological model considering herd behavior and disease transmission among predators was studied.Its main purpose was to explore conditions of steady-state change and key parameters of branch occurrence.The existence and local asymptotic stability of equilibrium points,the conditions for the occurrence of bifurcation(transcritical bifurcation,saddle node bifurcation,Hopf bifurcation)were discussed theoretically.Further,the numerical simulation were given to verify the correctness of the theoretical analyses.The results showed that the disease infection rate,the mortality rate of the predator and the predation rate could affect the stability of the model.关键词
生态-传染病模型/羊群效应/稳定性/分支Key words
eco-epidemiological model/herd effect/stability theory/bifurcation分类
数理科学引用本文复制引用
康爱花,薛亚奎..带有羊群效应的生态-传染病模型动力学分析[J].信阳师范学院学报（自然科学版）,2024,37(2):210-215,6.基金项目
国家自然科学基金项目(11971278) （11971278）
山西省青年基金项目(202103021223395) （202103021223395）
山西省高等学校科技创新项目(2021602) （2021602）
