摘要
考虑了具有扩散项和食饵保护的Gause型捕食系统.该模型带有齐次Neumann边界条件.讨论了系统的全局吸引性以及系统非负常数平衡态的局部稳定性和全局稳定性.其条件依赖于食饵保护参数,表明了食饵保护对系统动力学行为的影响.
This paper is concerned with a diffusive Gause type predator-prey system incorporating a prey refuge under homogeneous Neumann boundary conditions. The global attractivity, local/global asymptotic stability of nonnegative constant equilibria is studied respectively. The conditions is dependent on the prey refuge parameter, which indicates the effect of prey refuge on the dynamic behavior of this predator-prey system.
出处
《生物数学学报》
CSCD
北大核心
2010年第1期35-42,共8页
Journal of Biomathematics
基金
国家自然科学基金(10801065)
关键词
捕食系统
食饵保护
扩散
全局吸引性
稳定性
Predator-prey system
Prey refuge
Diffusion
Global attractivity
Stability
