Dynamical analysis of an age-structured SIRE epidemic model with two routes of infection in environment
Dynamical analysis of an age-structured SIRE epidemic model with two routes of infection in environment
复制标题
环境中两种感染途径的年龄结构SIRE流行病模型的动力学分析
DOI：
10.1111/sapm.12447
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发表时间：
2022
影响因子：
2.7
通讯作者：
Tingting Zheng
中科院分区：
文献类型：
--
作者：
Jingjing Lu;Qiaoling Chen;Zhidong Teng;Tingting Zheng
本文研究了一类具有传染年龄、复发年龄和易感者保护效应的SIRE传染病模型。用该函数表示对易感者的保护，以降低易感者暴露于污染环境而被感染的概率;用该函数表示对易感者的保护，以降低易感者直接接触感染者而被感染的概率。我们得到了阈值和解的基本性质。此外，我们看到当无病平衡点存在且唯一且全局渐近稳定时，以及当除了无病平衡点之外，模型还有唯一局部渐近稳定的地方病平衡点时。并且，当存在时，我们只得到了系统的一致持久性，而没有地方病平衡点的全局渐近稳定性。数值算例表明，当存在时，存在地方病平衡点的稳定流形。
In this study, an SIRE epidemic model including infection age, relapse age, and effect of protection for susceptible in environmental virus infectious diseases is investigated. We use the function to represent the protection of susceptible so as to reduce the probability that susceptible are exposed to the polluted environment and become infected, and the function represents the protection of susceptible so as to reduce the probability that susceptible are directly contact with infected persons and become infected. We obtain threshold and the basic properties of solutions. Further, we see that when the disease‐free equilibrium exists and is unique and globally asymptotically stable, and when , besides the disease‐free equilibrium, the model has a unique endemic equilibrium that is locally asymptotically stable. Furthermore, we only obtained the system is uniformly persistence without the global asymptotical stability of endemic equilibrium when . The numerical examples show that there exists a stable manifold of endemic equilibrium when .