| 斑块环境下几乎周期R-M模型的阈值动力学行为研究 |
| Alternative Title | An Almost Periodic R-M Model in a Patchy Environment
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| 邵昶 |
| Thesis Advisor | 李万同
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| 2016-05-18
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| Degree Grantor | 兰州大学
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| Place of Conferral | 兰州
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| Degree Name | 硕士
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| Keyword | 几乎周期
基本再生数
R-M模型
阈值动力系统
一致持久
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| 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 Abstract | In 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
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| Language | 中文
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| Document Type | 学位论文
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| Identifier | https://ir.lzu.edu.cn/handle/262010/225633
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| Collection | 数学与统计学院
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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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