UNIFORM BOUNDEDNESS AND STABILITY OF SOLUTIONS TO A CUBIC PREDATOR-PREY SYSTEM WITH CROSS-DIFFUSION

被引：0
|
作者：
Huaihuo Cao1
2. Dept. of Math.
机构：
来源：
Annals of Applied Mathematics | 2009年 / 03期
基金：
中国国家自然科学基金;
关键词：
self and cross-diffusion; uniform boundedness; global solutions; stability;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
Using the energy estimate and Gagliardo-Nirenberg-type inequalities,the existence and uniform boundedness of the global solutions to a strongly coupled reaction-diffusion system are proved. This system is a generalization of the two-species Lotka-Volterra predator-prey model with self and cross-diffusion. Suffcient condition for the global asymptotic stability of the positive equilibrium point of the model is given by constructing Lyapunov function.
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页码：264 / 274
页数：11
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