一类离散种群模型的动力学性质
Dynamic Properties of a Class of Discrete Population Model
DOI: 10.12677/AAM.2019.88171, PDF,    国家自然科学基金支持
作者: 陈雨青, 张渝曼, 徐江明, 周效良：岭南师范学院数学与统计学院，广东 湛江
关键词: 离散种群模型；中心流形定理；跨临界分岔；Flip分岔；Discrete Population Model； Central Manifold Theorem； Transcritical Bifurcation； Flip Bifurcation
摘要: 本文研究了一类离散种群模型的动力学行为，通过讨论系数参数确定不动点类型及双曲性质。利用中心流形定理与分岔理论得到两个不动点产生跨临界分岔和flip分岔的条件。
Abstract: In this paper, the dynamic behavior of a class of discrete population models is studied. Fixed point types and hyperbolic properties are determined by discussing coefficient parameters. By using central manifold theorem and bifurcation theory, we obtain the conditions of transcritical bifurca-tion and flip bifurcation at two fixed points.
文章引用：陈雨青, 张渝曼, 徐江明, 周效良. 一类离散种群模型的动力学性质[J]. 应用数学进展, 2019, 8(8): 1463-1470. https://doi.org/10.12677/AAM.2019.88171

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