一类具有HollingⅢ型功能反应的分数阶扩散捕食-食饵系统的动力学性质  

The Dynamical Property of a Fractional Diffusion Predator-prey System with Holling Type-Ⅲ Functional Response

作　　者：李彦 LI Yan(School of Mathematics and Statistics,Huaiyin Normal University,Huai'an 223300,China)

机构地区：[1]淮阴师范学院数学与统计学院,江苏淮安223300

出　　处：《淮阴师范学院学报(自然科学版)》2025年第1期14-18,共5页Journal of Huaiyin Teachers College(Natural Science Edition)

基　　金：淮安市自然科学研究计划项目(HABZ201918)。

摘　　要：研究了一类齐次Neumann边界条件下具有HollingⅢ型功能反应的分数阶扩散捕食-食饵系统的动力学性质.给出了系统解的耗散性结果,讨论了系统正平衡点的局部渐近稳定性.This paper is concerned with the dynamical property of a fractional diffusion predator-prey system with Holling type-Ⅲ functional response under homogeneous Neumann boundary conditions.Firstly,the dissipation of the solution to this system is investigated.Secondly,the sufficent conditon of local aymptotical stability for the positive equilibrium point is obtained.

关 键 词：捕食-食饵系统 分数阶扩散 平衡点 稳定性 

分 类 号：O175.12[理学—数学]