数理化科学

一类具有年龄结构的SIRS 模型的全局稳定性

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  • 西安科技大学理学院, 西安710054
张仲华(1977—), 男, 副教授, 博士, 研究方向为生物数学. E-mail: wwwzhangzhonghua@163.com

收稿日期: 2014-09-21

  网络出版日期: 2015-06-22

基金资助

国家自然科学基金资助项目(11201277, 10971064, 11271125, 11402054); 中国博士后基金资助项目(20090461281); 陕西省教育厅专项科研计划基金资助项目(09JK601, 12JK0851, 2013JK0611); 陕西省自然科学基础研究计划资助项目(2015JM1011); 信阳师范学院种群生态模拟与控制重点实验室开放课题基金资助项目(201004)

Global stability of an age-structured SIRS epidemic model

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  • College of Sciences, Xi’an University of Science and Technology, Xi’an 710054, China

Received date: 2014-09-21

  Online published: 2015-06-22

摘要

建立了一类具有隔离措施及年龄结构的SIRS传染病(免疫期有限的传染病)模型, 定义了疾病的基本再生数, 并通过构造Lyapunov函数讨论了模型的平衡点的全局渐近稳定性.

本文引用格式

张仲华, 锁要红 . 一类具有年龄结构的SIRS 模型的全局稳定性[J]. 上海大学学报(自然科学版), 2015 , 21(03) : 336 -343 . DOI: 10.3969/j.issn.1007-2861.2014.05.010

Abstract

An age-structured SIRS epidemic model with screening strategy and infectionage is  formulated. The basic reproductive number is defined. Global stability of equilibria   of the model are disucssed by constructing suitable Lyapunov functions.

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