西北师范大学学报（自然科学版）2019，Vol.55Issue(1)：1-7,7.DOI:10.16783/j.cnki.nwnuz.2019.01.001
带强Allee效应的Rosenzweig-MacArthur捕食者-食饵模型的Hopf分支
Hopf bifurcation of the Rosenzweig-MacArthur predator-prey model with strong Allee effects
摘要
Abstract
Hopf bifurcation of a Rosenzweig-MacArthur predator-prey model with strong Allee effects is considered.Firstly, the stability of a positive equilibrium point in the corresponding ordinary differential equation model is discussed.By using Allee threshold valueθas the bifurcation parameter, the existence, direction and stability of Hopf bifurcation are analyzed.Then, for the corresponding reaction diffusion model, the existence of Hopf bifurcation points and the branch direction in the first branch parameterθ0are discussed.关键词
Rosenzweig-MacArthur捕食-食饵模型/Allee效应/稳定性/Hopf分支Key words
Rosenzweig-MacArthur predator-prey model/Allee effect/stability/Hopf bifurcation分类
数理科学引用本文复制引用
伏升茂,孙姣姣..带强Allee效应的Rosenzweig-MacArthur捕食者-食饵模型的Hopf分支[J].西北师范大学学报（自然科学版）,2019,55(1):1-7,7.基金项目
国家自然科学基金资助项目(11361055,11761063) （11361055,11761063）
西北师范大学青年教师科研能力提升计划资助项目(NWNULKQN-11-21) （NWNULKQN-11-21）
