宿主具有Logistic增长的西尼罗河病毒模型动力学形态分析  

Dynamics analysis of a West Nile virus model with Logistic growth in the host

作　　者：张婷婷 ZHANG Tingting(School of Information Engineering,Shanxi Application Technology College,Taiyuan 030000,China)

机构地区：[1]山西应用科技学院信息工程学院,山西太原030000

出　　处：《高师理科学刊》2024年第3期15-18,35,共5页Journal of Science of Teachers＇College and University

摘　　要：建立了媒介具有指数出生率以及宿主具有Logistic增长的西尼罗河病毒传染病模型,求出了模型的基本再生数,讨论了平衡点的存在性,即当基本再生数小于1时,系统有两个正平衡点或者没有正平衡点;当基本再生数大于1时,系统存在一个正平衡点或者三个正平衡点.验证了无病平衡点的稳定性.The West Nile virus epidemic model with exponential birth rate for mosquito and Logistic growth for host was built.The basic reproduction number of the model was obtained and the existence of equilibrium were discussed.If the basic reproduction number is less than one,then the system have two epidemic equilibria or no epidemic equilibrium,if the basic reproduction number is greater than one,then the system has a unique epidemic equilibrium or have three epidemic equilibria.The stability of disease-free equilibria were discussed.

关 键 词：西尼罗河病毒 平衡点 稳定性 

分 类 号：O175.1[理学—数学] Q141[理学—基础数学]