摘要
研究一类齐次Dirichlet边值条件下具有捕食种群Allee效应和密度依赖扩散的捕食-食饵模型的共存解。基于共存解的先验估计,利用正锥上的不动点指数理论建立了共存解存在的充分条件。结果表明,密度依赖扩散对共存解的存在性产生显著影响,同时也发现两物种间的功能反应函数对共存解的存在性有本质的影响。
This paper is concerned with the coexistence solutions of a predator-prey model with Allee effect and density-dependent diffusion in the predator under homogeneous Dirichlet boundary conditions.Based on a priori estimate of coexistence solutions,the sufficient conditions for the existence of coexistence solutions are established by using the theory of fixed point index in positive cone.The results show that the density-dependent diffusion has a significant effect on the existence of coexistence solutions,and it is also find that the functional response function between the two species has an essential effect on the existence of coexistence solutions.
作者
马田田
李善兵
MA Tiantian;LI Shanbing(College of Mathematics and Statistics,Xidian University,Xi'an 710126,Shaanxi,China)
出处
《山东大学学报(理学版)》
北大核心
2025年第4期84-92,103,共10页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11901446)
中国博士后特别资助项目(2021T140530)。
关键词
捕食-食饵模型
ALLEE效应
密度依赖扩散
共存解
不动点指数理论
predator-prey model
Allee effect
density-dependent diffusion
coexistence solutions
the theory of fixed point index
