摘要
本文研究一类具有常数投放率的食饵-捕食系统的定性行为,得到了正平衡点全局渐近稳定以及在正平衡点周围存在唯一极限环的充分条件.利用数值模拟检验了结论.
In this paper, qualitative behavior for predator-prey system with constant rate stocking by functional effect is discussed. The sufficient conditions that the global asymptotic stability of the positive equilibrium point and the existence uniqueness of the limit cycle around the positive equilibrium point are obtained. At the same time, some results were proved with the technology of numerical simulation.
出处
《生物数学学报》
CSCD
北大核心
2010年第1期97-103,共7页
Journal of Biomathematics
基金
国家自然科学基金资助项目(10671011)
关键词
投放率
食饵-捕食系统
全局渐近稳定
极限环
Constant rate stocking
Prey
predator system
Global asymptotic stability
Limit cycle
