四川师范大学学报(自然科学版)2017,Vol.40Issue(1):73-77,5.DOI:10.3969/j.issn.1001-8395.2017.01.012
具有阶段结构的周期SEIR传染病模型的动力学性态
Dynamic Behavior of a Periodic SEIR Epidemic Model with Stage-structure
摘要
Abstract
In this paper,we divide a population into two stages: immature stage and mature stage,and assume that disease transmission occurs only in mature individuals.Then we establish a periodc SEIR epidemic model with stage structure.We establish the global dynamics for disease-free periodic solution and discuss the uniform persistence of the system.Finally,the numerical simulations indicate the theoretical result is correct.关键词
周期传染病模型/阶段结构/基本再生数/稳定性Key words
periodic epidemic model/stage-structured/the basic reproduction number/stability分类
数理科学引用本文复制引用
杜燕飞,肖鹏,曹慧..具有阶段结构的周期SEIR传染病模型的动力学性态[J].四川师范大学学报(自然科学版),2017,40(1):73-77,5.基金项目
国家自然科学基金(11301314)和陕西省自然科学基金(2014JQ1025) (11301314)