PERIODIC SOLUTIONS OF AN AGE-STRUCTURED EPIDEMIC MODEL WITH PERIODIC INFECTION RATE
PERIODIC SOLUTIONS OF AN AGE-STRUCTURED EPIDEMIC MODEL WITH PERIODIC INFECTION RATE
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DOI：
10.3934/cpaa.2020220
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发表时间：
2020-10-01
影响因子：
1
通讯作者：
Huang, Qimin
中科院分区：
文献类型：
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作者：
Kang, Hao;Ruan, Shigui;Huang, Qimin
本文考虑了一个年龄结构的SEIR型传染病模型。为了描述某些传染病如麻疹的季节性特征，假定感染率是时间周期性的。在建立了初边值问题的适定性之后，我们利用不动点定理研究了该模型的时间周期解的存在性。一些数值模拟来说明所得到的结果。
In this paper we consider an age-structured epidemic model of the susceptible-exposed-infectious-recovered (SEIR) type. To characterize the seasonality of some infectious diseases such as measles, it is assumed that the infection rate is time periodic. After establishing the well-posedness of the initial-boundary value problem, we study existence of time periodic solutions of the model by using a fixed point theorem. Some numerical simulations are presented to illustrate the obtained results.