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.
作者
李彦
LI Yan(School of Mathematics and Statistics,Huaiyin Normal University,Huai'an 223300,China)
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)。
关键词
捕食-食饵系统
分数阶扩散
平衡点
稳定性
predator-prey system
fractional diffusion
positive equilibrium
stability