应用数学2026，Vol.39Issue(2)：373-387,15.
具有非局部时滞的反应扩散对流模型的稳定性和Hopf分支
Stability and Hopf Bifurcation of a Reaction-Diffusion-Advection Model with Nonlocal Delay
摘要
Abstract
In ecological environments,the survival environment of species is often inhomogeneous,and the reproductive process is affected by time delay.System with nonlocal effects and delay can more accurately simulate changes in population density.In this paper,we consider a reaction-diffusion-advection model with nonlocal delay and Dirichlet boundary conditions.First of all,we investigate the well-posedness of solution of model.Then,the existence of positive steady state is proofed by implicit function theorem.Based on a priori estimate for the eigenvalue,we prove the stability of the positive steady state and conclude the associated distribution of Hopf bifurcation.Our research indicates that the combined effects of nonlocal and time delays have a certain impact on the dynamics of the model.关键词
非局部性/时滞/反应扩散对流/Hopf分支/稳定性Key words
Nonlocality/Time delay/Reaction-diffusion-advection/Hopf bifurcation/Stability分类
数理科学引用本文复制引用
詹纪丹,余锞,彭亚红..具有非局部时滞的反应扩散对流模型的稳定性和Hopf分支[J].应用数学,2026,39(2):373-387,15.基金项目
Supported by the Natural Science Foundation of Shanghai(23ZR1401700)and National Natural Science Foundation of China(12471157) （23ZR1401700）
