EXISTENCE AND STABILITY OF SOLUTIONS FOR A DIFFUSIVE PREDATOR-PREY MODEL WITH PREDATOR CANNIBALISM

被引：0
|
作者：
Jiao, Yujuan [1 ]
机构：
[1] Northwest Univ Natl, Coll Math & Comp Sci, Lanzhou 730124, Gansu, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2013年
基金：
中国国家自然科学基金;
关键词：
cannibalism; cross-diffusion; global solution; uniform boundedness; stability;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider a diffusive predator-prey model with predator cannibalism. Using the energy estimates and Gagliardo-Nirenberg-type inequalities, the existence and uniform boundedness of global solutions for the model are proved. Meanwhile, the sufficient conditions for global asymptotic stability of the positive equilibrium for this model are given by constructing a Lyapunov function.
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页数：18
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