Holling- Ⅱ型三种群食物网模型的Hopf分岔行为研究

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英文篇名：Study on Hopf Bifurcation in a Three-Species Food Web Model with Holling-Ⅱ Functional Response 作者：康举 ; 黄头生 ; 孟天祥 ; 张化永 英文作者：KANG Ju;HUANG Tou-sheng;MENG Tian-xiang;ZHANG Hua-yong;Research Center for Engineering Ecology and Nonlinear Science,North China Electric Power University; 关键词：食物网模型 ; 局部渐进稳定性 ; Hopf分岔 ; 数值模拟 英文关键词：food web model;;local asymptotic stability;;Hopf bifurcation;;numerical simulations 中文刊名：XNND 英文刊名：Journal of Southwest University(Natural Science Edition) 机构：华北电力大学工程生态学与非线性科学研究中心; 出版日期：2019-05-20 出版单位：西南大学学报(自然科学版) 年：2019 期：v.41;No.293 基金：国家“十三五”重大科技专项(2017ZX07101-002);; 中央高校基本科研业务费专项(JB2017069) 语种：中文; 页：XNND201905012 页数：8 CN：05 ISSN：50-1189/N 分类号：70-77

摘要

构建了Holling-II型三种群食物网模型,利用Jacobian矩阵、 Routh-Hurwitz判据、 Hopf分岔和中心流形等理论分别讨论了系统的局部渐进稳定性和Hopf分岔的发生条件.通过数值模拟,展示了食物网系统的Hopf分岔行为,揭示了种群动态随外界参数条件的变化以及随时间演化的分布规律.
        We investigated a three-species food web model with Holling-II functional response. Jacobian matrix, Routh-Hurwitz criteria, Hopf bifurcation theorem and central manifold theorem were used to analyze local asymptotic stability and to determine Hopf bifurcation condition for the food web system. The Hopf bifurcation of the system was demonstrated by numerical simulations. The dynamics behaviors revealed change of population dynamics with variations of the parameters as well as time evolution.

引文

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