PERIODIC SOLUTIONS OF AN AGE-STRUCTURED EPIDEMIC MODEL WITH PERIODIC INFECTION RATE

被引：7

作者：

Kang, Hao ^{[1
]}

Ruan, Shigui ^{[1
]}

Huang, Qimin ^{[2
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33146 USA

[2] Case Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 10期

基金：

美国国家科学基金会;

关键词：

Age-structure; SEIR epidemic model; periodic solution; vaccination; basic reproduction number; VECTOR-BORNE DISEASES; GLOBAL BEHAVIOR; MATHEMATICAL-THEORY; THRESHOLD; STABILITY; R-0; VACCINATION; EXISTENCE; THEOREMS; DYNAMICS;

D O I：

10.3934/cpaa.2020220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4955 / 4972

页数：18

共 39 条

[1] AGE-RELATED-CHANGES IN THE RATE OF DISEASE TRANSMISSIONS - IMPLICATIONS FOR THE DESIGN OF VACCINATION PROGRAMS [J].