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| 一个具非单调传染率的SEIR传染病模型的全局稳定性 | |
| 引用本文： | 陈柳娟. 一个具非单调传染率的SEIR传染病模型的全局稳定性[J]. 生物数学学报, 2009, 0(4): 591-598 |
| 作者姓名： | 陈柳娟 |
| 作者单位： | 福建教育学院理科研修部,福建福州350001 |
| 基金项目： | Supported by the Foundation of Fujian Education Bureau（JA05334） |
| 摘 要： | 本文研究一类描述某种严重疾病的传染数目变大时在心理上产生影响的非单调传染率的SEIR传染病模型.研究表明模型的动力行为和疾病的爆发完全由基本再生数R0决定.当R0≤1时,无病平衡点是全局稳定的,疾病消亡;当R0〉1时,地方病平衡点是全局稳定的,疾病持续且发展成地方病. |
| 关 键 词： | SEIR模型 全局稳定 非线性疾病发生率 渐近自治系统 |
Glogal Stability of a SEIR Epidemic Model with Nonmonotone Incidence Rate |
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| CHEN Liu-juan. Glogal Stability of a SEIR Epidemic Model with Nonmonotone Incidence Rate[J]. Journal of Biomathematics, 2009, 0(4): 591-598 | |
| Authors: | CHEN Liu-juan |
| Affiliation: | CHEN Liu-juan (Ministry of Science Training,Fujian Institute of Education,Fuzhou Fujian 350001 China) |
| Abstract: | In this paper,a SEIR epidemic model with nonmonotone incidence rate, which describes the psychological effect of certain serious diseases on the community when the number of infective is getting larger,is investigated.It is shown that the global dynamics and the outcome of the disease are completely determined by the basic reproduction number R0.If R0≤1 holds,then the disease-free equilibrium is globally stable and the disease dies out.If R_01 holds,then the unique endemic equilibrium is globally stable and the disease persists at an endemic equilibrium state. |
| Keywords: | SEIR model Global stability Nonlinear incidence Asymptotically autonomous system |
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