带有食饵保护的扩散Leslie-Gower型捕食系统的定性分析
A Diffusive Leslie-Gower Type Predator-Prey System with a Prey Refuge
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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-Cower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.
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关键词:
- 捕食系统,食饵保护,扩散,稳定性,持久性
Abstract: This paper is concerned with a diffusive Leslie-Gower type predator-prey system tier homogeneous Neu-mann boundary conditions, studies the large time behavior of this system, including the persistence of its global at-tractor, 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. -
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