| 具有比率依赖的捕食食饵模型的分歧研究 |
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| 引用本文： | 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. |
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| 作者姓名： | 任翠萍 |
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| 作者单位： | 西安欧亚学院 通识教育学院，西安 710065 |
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| 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。
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| 关 键 词： | 不动点指标 分歧理论 度理论 |
Bifurcation of a class of ratio-dependent predator-prey system |
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| REN Cuiping.Bifurcation of a class of ratio-dependent predator-prey system[J].Computer Engineering and Applications,2016,52(12):12-14. |
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| Authors: | REN Cuiping |
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| Affiliation: | School of General Education, Xi’an Eurasia University, Xi’an 710065, China |
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| 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 bifurcation 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. |
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| Keywords: | fixed-point index bifurcation theory degree theory |
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