计算机工程与应用2016，Vol.52Issue(12)：12-14,100,4.DOI:10.3778/j.issn.1002-8331.1404-0474
具有比率依赖的捕食食饵模型的分歧研究
Bifurcation of a class of ratio-dependent predator-prey system
摘要
Abstract
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.关键词
不动点指标/分歧理论/度理论Key words
fixed-point index/bifurcation theory/degree theory分类
数理科学引用本文复制引用
任翠萍..具有比率依赖的捕食食饵模型的分歧研究[J].计算机工程与应用,2016,52(12):12-14,100,4.基金项目
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）。 （）
