一类具有脉冲接种的时滞传染病模型稳定性分析
Analysis of a Delayed Epidemic Model with Pulse Vaccination
王来全 1夏米西努尔·阿布都热合曼2
作者信息
- 1. 昌吉职业技术学院基础教育分院,新疆 昌吉 831100
- 2. 新疆大学数学与系统科学学院,新疆 乌鲁木齐 830046
- 折叠
摘要
建立了一类具有脉冲接种的时滞传染病模型,利用庞加莱映射不动点定理和离散动力系统理论得到了模型的无病周期解,当(R)0＜1时,证明了无病周期解的全局吸引性,同时,满足适当条件且ρ＞ρ*或τ＜τ*或ω＞ω*时,我们得到了疾病将消除,并用数值模拟验证了这一结论.最后分析了疾病的持久性.
Abstract
An epidemic model with time delays and pulse vaccination is investigated in this paper.We obtained the infection-free periodic solution of the impulsive epidemic system by using the the discrete dynamical system and the fixed point theory in poincare map.We proved that the globally attractive of the infection-free periodic solution when(R)0＜1.Furthermore,we obtained the disease was faded out under appropriate conditions and the vaccination rate was larger than ρ*,or the latent period was larger than＞ω*,or the time was less than τ*,the results are illustrated and corroborated with some numerical experiments.The permanence of the model is investigated analytically.
关键词
脉冲接种/无病周期解/全局吸引/持久Key words
pulse vaccination/infection-free periodic solution/globally attractive/perma-nence引用本文复制引用
基金项目
新疆维吾尔自治区自然科学基金(2022D01A40)
出版年
2024
NETL
NSTL
万方数据