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带有时空时滞的混合扩散竞争系统的行波解

石玲玲 王飏 姚美萍

山西大学学报(自然科学版)2025,Vol.48Issue(3):429-434,6.
山西大学学报(自然科学版)2025,Vol.48Issue(3):429-434,6.DOI:10.13451/j.sxu.ns.2024010

带有时空时滞的混合扩散竞争系统的行波解

Traveling Wave Solutions for Mixed Diffusive Competition Systems with Spatio-temporal Delays

石玲玲 1王飏 2姚美萍2

作者信息

  • 1. 晋中学院 数学系,山西 晋中 030619
  • 2. 山西大学 数学与统计学院,山西 太原 030006
  • 折叠

摘要

Abstract

In this paper,the existence of traveling wave solutions of mixed diffusive competition systems with spatio-temporal delays was studied.Firstly,in order to eliminate the influence of spatio-temporal delays,the delayed diffusion system with two equations was changed into the non-delay diffusion system with four equations based on the property of the kernels in spatio-temporal delays.Then the system was further changed into the monotone system.Finally,the main results were obtained by using the super-and sub-solutions method and the fixed point theorem.

关键词

反应扩散系统/上下解/非局部时滞

Key words

reaction diffusion system/super-and sub-solutions/nonlocal delays

分类

数学

引用本文复制引用

石玲玲,王飏,姚美萍..带有时空时滞的混合扩散竞争系统的行波解[J].山西大学学报(自然科学版),2025,48(3):429-434,6.

基金项目

山西省回国留学人员科研资助项目(2021-001 ()

2022-011) ()

山西大学学报(自然科学版)

OA北大核心

0253-2395

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