摘要
利用极值原理,分歧理论以及特征值扰动理论,研究了一类带有修正的Holling-Ⅱ型反应函数的捕食-食饵模型的平衡态分歧解.给出了先验估计和正解存在的充分条件,讨论了局部分歧解的稳定性,进而将局部分歧延拓成整体分歧.
By the maximum principle and the bifurcation theory,the bifurcation solutions of the prey-pred- ator system with Holling-Ⅱtype response function is investigated. A priori estimate and a sufficient con- dition for the existence of positive solution are established. The stability of local bifurcation is discussed and the local bifurcation can be extended to global bifurcation.
出处
《纺织高校基础科学学报》
CAS
2012年第4期442-447,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10971124)
关键词
平衡态
分歧
稳定性
steady- state bifurcation stability
