| 具交叉感染的流行病模型的数学分析 |
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| 引用本文： | 李正元,陶纪元,叶其孝. 具交叉感染的流行病模型的数学分析[J]. 高校应用数学学报(英文版), 1999, 14(4) |
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| 作者姓名： | 李正元 陶纪元 叶其孝 |
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| 作者单位： | Dept.of Appl.Math,Beijing Institute of Technology,Beijing 100080 |
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| 摘 要： |
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A MATHEMATICAL ANALYSIS FOR A DIFFUSIVE EPIDEMIC MODEL WITH CRISS-CROSS DYNAMICS |
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| Li Zhengyuan,Tao Jiyuan,Ye Qixiao. A MATHEMATICAL ANALYSIS FOR A DIFFUSIVE EPIDEMIC MODEL WITH CRISS-CROSS DYNAMICS[J]. Applied Mathematics A Journal of Chinese Universities, 1999, 14(4) |
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| Authors: | Li Zhengyuan Tao Jiyuan Ye Qixiao |
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| Abstract: | In this paper,an initial boundary value problem with homogeneous Neumann boundary condition is studied for a reaction-diffusion system which models the spread of infectious diseases within two population groups by means of self and criss-cross infection mechanism. Existence,uniqueness and boundedness of the nonnegative global solution (u1,u2,u3,u4),existence of the limit of the solution as t→+∞,namely,(u1,u2,u3,u4)→(u*1,0,u*3,0),are proved. |
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| Keywords: | Upper and lower solutions boundedness Liapunov functional method exponential delay estimates |
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