带有简化的Monod-Haldane 型的R-M捕食者-食饵模型的局部稳定性分析
Local Stability Analysis with Simplified Monod-Haldane R-M Predator-Prey Model
DOI: 10.12677/PM.2021.117155, PDF, HTML, 下载: 323  浏览: 490 
作者: 宋晨霞, 杨亚飞：西北师范大学，数学与统计学院，甘肃 兰州
关键词: Rosenzweig-MacArthur模型；简化的Monod-Haldane型功能反应；Hopf分支；Rosenzweig-MacArthur Model； Simplified Monod-Haldane Functional Response； Hopf Branch
摘要: 本文研究了带有简化的Monod-Haldane型的Rosenzweig-MacArthur捕食者-食饵模型。 首先利用Routh-Hurwitz判据讨论常微分方程模型所有平衡点的存在性和局部稳定性。然后分析在一定条件下，正平衡点 E∗处产生Hopf分支。
Abstract: In this paper, Rosenzweig-MacArthur predator-prey model with simplified Monod- Haldane type is studied. Firstly, the existence and local stability of all equilibrium points of ordinary differential model are discussed. Then analyze that under certain conditions, Hopf branches are generated at the positive equilibrium E∗.
文章引用：宋晨霞, 杨亚飞. 带有简化的Monod-Haldane 型的R-M捕食者-食饵模型的局部稳定性分析[J]. 理论数学, 2021, 11(7): 1379-1388. https://doi.org/10.12677/PM.2021.117155

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