| 一类具时滞的禽流感模型 |
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| 引用本文： | 侯晓星,张群英. 一类具时滞的禽流感模型[J]. 生物数学学报, 2010, 0(1): 43-50 |
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| 作者姓名： | 侯晓星 张群英 |
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| 作者单位： | 泰州师范高等专科学校;扬州大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671172); 国家自然科学基金资助项目(10801115) |
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| 摘 要： | 针对具扩散和时滞的SI-SIR传染病模型,用特征分析和Lyapunov泛函方法研究了相应的具齐次Neumann边界条件反应扩散方程组解的渐近性质.最后给出数值模拟来说明如果染病鸟类的接触率和染病人类的接触率小,那么全系统的无病平衡点是全局渐近稳定的;但当染病鸟类的接触率大或者和染病人类的接触率大时,变异的禽流感将在人类中扩散.
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| 关 键 词： | 反应扩散方程组 SIR模型 禽流感 时滞 稳定性 |
An Avian Influenza Model With Time Delay |
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| HOU Xiao-xing ZHANG Qun-ying. An Avian Influenza Model With Time Delay[J]. Journal of Biomathematics, 2010, 0(1): 43-50 |
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| Authors: | HOU Xiao-xing ZHANG Qun-ying |
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| Affiliation: | HOU Xiao-xing~1 ZHANG Qun-ying~2 (1 Department of Mathematics,Taizhou Teachers'College,Taizhou Jiangsu 225300 China) (2 College of Mathematics Science,Yangzhou University,Yangzhou Jiangsu 225002 China) |
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| Abstract: | A SI-SIR epidemic model with diffusion and delay is investigated.The asymptotic behavior of the corresponding reaction-diffusion equations with homogeneous Neumann boundary conditions is given using spectral analysis and of constructing the Lyapunov function.Numerical simulations are given to that the disease-free equilibrium is globally asymptotically stable if the contact rate for the susceptible birds and the contact rate for the susceptible humans are small. But if the contact rate for the susceptible b... |
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| Keywords: | Reaction diffusion system SIR model Avian influenza Delay Stability |
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