摘要
对两种群的捕食-被捕食模型,利用正性定理和线性化方法,研究了一类带时滞具有阶段结构非线性反应扩散系统的牛曼初边值问题,得到了解的存在性和平衡态方程正解的局部渐近稳定的充分条件.这个结果隐含着捕食-被捕食系统的共存是持久的.
In this paper,a two-species predator-prey model is discussed by means of positive theorem and the linearization method,Neumann initial-boundary value problems for nonlinear reaction diffusion systems with time delays and stage-structure are studied and the sufficient conditions for the existence of solution and the local asymptotic behavior of a positive steady-state are obtained.The result implies that the predator-prey system coexists lastingly.
出处
《青岛理工大学学报》
CAS
2009年第2期122-126,共5页
Journal of Qingdao University of Technology
关键词
反应扩散系统
阶段结构
时滞
渐近性
reaction diffusion system
stage structure
time delays
asymptotic behavior
