纺织高校基础科学学报2018，Vol.31Issue(1)：45-54,10.DOI:10.13338/j.issn.1006-8341.2018.01.009
一类带有恐惧效应的捕食模型正解的分歧及稳定性
Bifurcation solutions and stability of a predator-prey model with fear effect
摘要
Abstract
The coexistence of the predator-prey model with fear effect is considered.By the meth-od of spectral analysis and bifurcation theory,the bifurcation at the steady-state solutions is ac-quired by treating mas bifurcation parameters.Some stability results of the bifurcation solu-tions are obtained by using perturbation theory of linear operators and stability theory of bifur-cation solutions.The results show that this system arises bifurcation phennmenon at the steady-state solution,and this bifurcation solution is unconditionally stable.关键词
恐惧效应/捕食模型/谱分析/稳定性/分歧理论Key words
fear effect/predator-prey model/spectral analysis/stability/bifurcation theory分类
数理科学引用本文复制引用
王蓉,杨文彬,李艳玲..一类带有恐惧效应的捕食模型正解的分歧及稳定性[J].纺织高校基础科学学报,2018,31(1):45-54,10.基金项目
国家自然科学基金(61672021) （61672021）
陕西省教育厅专项科研计划项目(16JK1710) （16JK1710）
