具有饱和发生率的SIS传染病模型稳定性
Stability of a SIS Epidemic Model with Saturation Incidence
努尔别克·艾孜玛洪 1瓦提·对山汗 1哈依沙尔·海拉提 1张世超 1向华1
作者信息
- 1. 新疆农业大学数理学院,新疆乌鲁木齐 830052
- 折叠
摘要
考虑了一类具有易感人群饱和发生率的SIS传染病数学模型,定义了基本再生数,证明了地方病平衡点的存在唯一性、局部和全局渐近稳定性,分析了饱和发生率参数对模型动力学行为的影响,并通过数值模拟验证了所得结论的准确性.
Abstract
A class of SIS infectious disease mathematical model with susceptible population saturation incidence rate is considered,the basic reproduction number is defined,and the existence,uniqueness and stability of the equilibrium are proved.The influence of saturation incidence parameters on the dynamic behavior of the model is analyzed.Finally,the accuracy of all conclusions is verified by numerical verification.
关键词
传染病模型/SIS模型/饱和发生率/基本再生数/稳定性Key words
epidemic model/SIS model/saturation rate/basic reproduction number/stability引用本文复制引用
出版年
2024
NETL
NSTL
万方数据