兰州大学机构库 >数学与统计学院
斑块环境下几乎周期R-M模型的阈值动力学行为研究
Alternative TitleAn Almost Periodic R-M Model in a Patchy Environment
邵昶
Thesis Advisor李万同
2016-05-18
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword几乎周期 基本再生数 R-M模型 阈值动力系统 一致持久
Abstract本文以仓室传染病模型基本再生数为主线, 首先介绍了仓室传染病模型在自治和非自治(周期和几乎周期)情形下基本再生数的定义及其相关结论, 作为应用,考虑了几乎周期R-M (Ross-Macdonald) 模型基本再生数的定义及其性质. 研究结果表明若基本再生数ℛ0 < 1, 则疾病将消亡, 若ℛ0 > 1, 则疾病将持久传播.最后的数值模拟验证了所得结论.
Other AbstractIn this paper, we introduce the basic reproduction ratio of autonomous and nonautonomous (periodic and almost periodic) compartmental epidemic model.As an application, we study the almost periodic R-M (Ross-Macdonald) model.The results show that the disease will be dying out if ℛ0 < 1 and the diseasewill be persistently spreading if ℛ0 > 1. Finally, numerical simulations verifythe conclusions .
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/225633
Collection数学与统计学院
Recommended Citation
GB/T 7714
邵昶. 斑块环境下几乎周期R-M模型的阈值动力学行为研究[D]. 兰州. 兰州大学,2016.
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