摘要
在食饵种群具有常数收获率的生态系统的基础上,研究了一类捕食种群、食饵种群同时具有收获率的HollingⅡ类功能反应生态系统.其中食饵种群具有非线性密度制约,捕食者无密度制约.应用微分方程定性理论讨论了系统的平衡点,分析了中心焦点的阶数以及稳定性.结果发现,当给定参数满足一定条件时系统不存在极限环.最后根据细焦点的稳定性判断出极限环的存在性.
Based on the ecosystem with constant harvesting rate for preys, a Holling Ⅱ functional response system with harvesting rates for preys and predators is studied. The system＇s equilibrium points are discussed. The order and stability of the center focus are analysed. The nonexistence of the system＇s limit cycle is obtained if the given parameter satisfies certain conditions. Finally the existence of the limit cycle is obtained by using the stability theory of the weak focus.
出处
《江苏大学学报（自然科学版）》
EI
CAS
北大核心
2006年第5期463-466,共4页
Journal of Jiangsu University：Natural Science Edition
基金
江苏省教育厅自然科学基金资助项目(01KJB180003)
