| ASYMPTOTICAL ANALYSIS OF A REACTIONDIFFUSION EQUATIONS D-SIS EPIDEMIC MODEL |
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| 作者单位： | School of Science，Xi'an Jiaotong University，Xi'an 710049 |
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| 摘 要： | By monotone methods and invariant region theory,a reaction-diffusion equa- tions D-SIS epidemic model with bilinear rate is studied.The existence and uniqueness of the solution of the model are proved.The basic reproductive number which determines whether the disease is extinct or not is found.The globally asymptotical stability of the disease-free equilibrium and the endemic equilibrium are obtained.Some results of the ordinary differential equations model are extended to the present partial differential equations model.
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| 关 键 词： | 反应-扩散方程 渐进分析 流行病学 数学模型 全局稳定 |
ASYMPTOTICAL ANALYSIS OF A REACTION- DIFFUSION EQUATIONS D-SIS EPIDEMIC MODEL |
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| Xu Wenxiong Yin Hongwei Xu Zongben. ASYMPTOTICAL ANALYSIS OF A REACTION- DIFFUSION EQUATIONS D-SIS EPIDEMIC MODEL[J]. 微分方程年刊(英文版), 2007, 23(2): 225-233 |
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| Authors: | Xu Wenxiong Yin Hongwei Xu Zongben |
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| Abstract: | By monotone methods and invariant region theory,a reaction-diffusion equa- tions D-SIS epidemic model with bilinear rate is studied.The existence and uniqueness of the solution of the model are proved.The basic reproductive number which determines whether the disease is extinct or not is found.The globally asymptotical stability of the disease-free equilibrium and the endemic equilibrium are obtained.Some results of the ordinary differential equations model are extended to the present partial differential equations model. |
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| Keywords: | epidemiology mathematical model reaction-diffusion equations threshold global stability |
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