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| ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE | |
| 引用本文： | XIAOYanni CHENLansun. ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE[J]. 系统科学与复杂性, 2003, 16(2): 275-288 |
| 作者姓名： | XIAOYanni CHENLansun |
| 作者单位： | [1]DepartmentofMathematicalSciences,TheUniversityofLiverpool,LiverpoolL697ZL,UK／／AcademyofMathematicsandSystemsSciences,AcademyofChineseSciences,Beijing100080，China [2]AcademyofMathematicsandSystemsSciences,AcademyofChineseSciences,Beijing100080,China |
| 基金项目： | This work is supported by National Natural Science Foundation of China |
| 摘 要： | A SIS infectious disease model with stage structure consisting of immature and mature stages is proposed using a discrete time delay. The aim of the paper is to investigate under which conditions the disease becomes endemic or not and to find the difference between the model with stage structure and the corresponding model without stage structure. It is shown that either there exists a unique endemic equilibrium point which is globally asymptotically stable or the disease dies out by using an iterative scheme. The effect of the time delay on the populations at equilibria is considered. |
| 关 键 词： | 传染病 SIS流行模型 病期结构 时滞 全局渐近稳定期 |
ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE |
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| XIAO Yanni. ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE[J]. Journal of Systems Science and Complexity, 2003, 16(2): 275-288 | |
| Authors: | XIAO Yanni |
| Abstract: | A SIS infectious disease model with stage structure consisting of immature and mature stages is proposed using a discrete time delay. The aim of the paper is to investigate under which conditions the disease becomes endemic or not and to find the difference between the model with stage structure and the corresponding model without stage structure. It is shown that either there exists a unique endemic equilibrium point which is globally asymptotically stable or the disease dies out by using an iterative scheme. The effect of the time delay on the populations at equilibria is considered. |
| Keywords: | SIS infectious disease stage structure time delay globally asymptotically stable. |
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