摘要
研究食饵具有非线性密度制约捕食者具有线性密度制约的HollingⅡ型捕食动力系统．以食饵的环境容纳量为分支参数,由Hopf分支得到小振幅极限环的存在性,同时也得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件．
Consider a class of Holling predator-prey dynamic system with prey＇s nonlinear density restrict and predator＇s linear density restrict. By taking the environmental carrying capacity of the prey as the bifurcation parameter, the existence of the small amplitude stable limit cycle created by Hopf bifurcation is obtained. Also, it follow that the existence and the uniqueness of the non-small amplitude stable limit cycle and the positive equilibrium＇s global stability.
出处
《生物数学学报》
CSCD
北大核心
2006年第3期334-340,共7页
Journal of Biomathematics
基金
宁波市自然科学基金(2006A610032)
