摘要
在齐次Neumann边界条件下,考虑食饵具有避难所的捕食者-食饵模型,其功能反应函数为Holling-Ⅲ型.首先运用微分方程理论以及线性化分析,讨论避难所对ODE模型稳定性的影响以及Hopf分支产生的条件;其次讨论避难所对PDE模型稳定性的影响.得到结论:设置保护力度适当的食饵避难所,有助于物种共存.
In this paper,a predator-prey model with HollingⅢresponse function incorporating a prey refuge under homogeneous Neumann boundary condition was considered.First,the effect of refuge on the stability of ODE model and the conditions of Hopf bifurcation were discussed by applying the theory of differential equation and linearization analysis,and then the effect of refuge on the stability of PDE model was discussed.The results showed that the establishment of appropriate prey refuge was conductive to species coexistence.
作者
曹淑萍
CAO Shu-ping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《兰州文理学院学报（自然科学版）》
2020年第4期6-9,共4页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
国家自然科学基金(11761063,11061031)。
