A mathematical analysis for a diffusive epidemic model with criss-cross dynamics

被引：0
|
作者：
Li Z. [1 ,2 ]
Tao J. [1 ,2 ]
Ye Q. [1 ,2 ]
机构：
[1] Dept. of Math., Peking Univ., Beijing
[2] Dept. of Appl. Math., Beijing Institute of Technology, Beijing
来源：
Applied Mathematics-A Journal of Chinese Universities | 1999年 / 14卷 / 4期
关键词：
Boundedness; Exponential delay estimates; Liapunov functional method; Upper and lower solutions;
D O I：
10.1007/s11766-999-0068-0
中图分类号：
学科分类号：
摘要：
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) →(u1*,0,u3*,0) are proved. © 1999, Springer Verlag. All rights reserved.
引用
收藏
页码：389 / 400
页数：11
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