摘要
研究了一类基于比率依赖的Holling-Leslie捕食-食饵模型。利用分歧理论和度理论结合极值原理,以d2为分歧参数,得到了系统非常正解的存在性;同时得出局部分歧可以延拓到整体分歧,并给出了一维情况下整体分歧的性态。
Based on the methods of the bifurcation theory, the degree theory and the maximum principle, a class of ratio-dependent Holling-Leslie type predator-prey model is investigated. Then, based on treating d2 as bifurcation parameter, the existence of positive steady-state solution is derived mainly by using the global bifurcation theory. Also, the local bifur-cation can be extended to global bifurcation. Moreover, the fact that the global bifurcation joins up with infinity in the case of one-dimension is obtained.
出处
《计算机工程与应用》
CSCD
北大核心
2016年第12期12-14,100,共4页
Computer Engineering and Applications
基金
陕西省自然科学基金(No.2014JM1031)
陕西省教育厅科研计划项目(No.2013JK0603)
关键词
不动点指标
分歧理论
度理论
fixed-point index
bifurcation theory
degree theory
