摘要
提出了一类基于比率,具有HollingⅢ功能性反应,且食饵有避难所的Leslie捕食食饵系统.通过构造恰当的Dulac函数,得到了保证该系统正平衡点全局渐近稳定的充分条件.其后,通过利用Bendixson环域定理,进一步证明了在一定条件下系统存在极限环.最后,用数值模拟验证了结果.
A ratio-dependent Leslie predator-prey system with Holling-Ⅲ functional response incorpora- ting a prey refuge is considered in this paper. By constructing a suitable Dulac function, sufficient conditions are obtained for the global asymptotic stability of the positive equil!brium. We also show the existence of limit cycles by using Bendixson theorem, Numeric simulations are carred out to illustrate the feasibility of the main results at last.
出处
《闽江学院学报》
2012年第2期4-8,21,共6页
Journal of Minjiang University
基金
福建省自然科学基金资助项目(2011J01007)
