浙江大学学报（理学版）2026，Vol.53Issue(4)：445-453,9.DOI:10.3785/1008-9497.25130
气候变化下时空时滞非局部扩散Lotka-Volterra竞争系统的强迫波
Forced waves in a Lotka-Volterra competition system with spatio-temporal delay and nonlocal dispersal under climate change
摘要
Abstract
This paper deals with the forced waves for a Lotka-Volterra competition system with spatio-temporal delay and nonlocal dispersal under climate change.First,the existence of the forced waves is converted into a problem of the existence of fixed point of a nonlinear operator by constructing upper and lower solutions,thus the existence of forced waves consistent with the habitat movement velocity is established by using the cross-iteration scheme.In particular,in contrast to those nonlocal diffusion systems without delay and scalar equations with delay and nonlocal diffusion,the appearance of spatio-temporal delay may lead to.It is therefore necessary to construct an auxiliary system for testifying the asymptotic boundary conditions at the negative infinity for forced waves because of the presence of nonlocal diffusion and spatio-temporal delay terms in the system at the same time,which is different from the methods used for scalar equations.关键词
强迫波/非局部扩散/时空时滞/存在性Key words
forced waves/nonlocal dispersal/spatio-temporal delay/existence分类
数理科学引用本文复制引用
薛文欢,杨赟瑞..气候变化下时空时滞非局部扩散Lotka-Volterra竞争系统的强迫波[J].浙江大学学报（理学版）,2026,53(4):445-453,9.基金项目
国家自然科学基金项目(12361038) （12361038）
甘肃省基础研究创新群体项目(25JRRA805) （25JRRA805）
兰州交通大学百名青年优秀人才培养计划项目. （）
