摘要
研究了满足齐次Neumann边界条件的一类带有食饵保护的扩散Leslie-Gower型捕食系统.讨论了系统的长时间行为,包括系统的全局吸引子和持久性,并分别运用线性化方法和Lyapunov函数方法得到了系统唯一正常数平衡态的局部稳定性和全局稳定性.
This paper is concerned with a diffusive Leslie-Gower type predator-prey system under homogeneous Neumann boundary conditions,studies the large time behavior of this system,including the persistence of its global attractor,and obtains the local/global asymptotic stability of the unique positive constant steady state of the system with the linearization method and by constructing a suitable Lyapunov function.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第9期6-10,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(10801065)
关键词
捕食系统
食饵保护
扩散
稳定性
持久性
predator-prey system
prey refuge
diffusion
stability
persistence
