一类空间非局部的时滞种群模型波前解的稳定性

刘凯凯, 杨赟瑞, 李孝武

doi:10.13371/j.cnki.chin.q.j.m.2022.01.004

数学季刊 >

2022 , Vol. 37 >Issue 1: 37 - 51

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.01.004

一类空间非局部的时滞种群模型波前解的稳定性

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School of Mathematics and Physics, Lanzhou Jiaotong University

LIU Kai-kai (1994-), male, native of Ruzhou, Henan, postgraduate of Lanzhou Jiaotong University, engages in differential equations and dynamic systems; YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, engages in nonlinear functional analysis, differential equations and dynamic systems; LI Xiao-wu (1997-), male, native of Fuyang, Anhui, postgraduate of Lanzhou Jiaotong University, engages in differential equations and dynamic systems.

收稿日期: 2021-11-16

网络出版日期: 2022-03-30

基金资助

Supported by the NSF of China (Grant No. 11761046);

Science and Technology Plan Foundation of Gansu Province of China (Grant No. 20JR5RA411);

Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.

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Stability of Traveling Wavefronts for a Spatially Nonlocal Population Model with Delay

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School of Mathematics and Physics, Lanzhou Jiaotong University

Received date: 2021-11-16

Online published: 2022-03-30

Supported by

Supported by the NSF of China (Grant No. 11761046);

Science and Technology Plan Foundation of Gansu Province of China (Grant No. 20JR5RA411);

Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.

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摘要

The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article. It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weighted- energy method and comparison principle. The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions.

关键词： Stability; Wavefronts; Weighted-energy method

本文引用格式

刘凯凯, 杨赟瑞, 李孝武 . 一类空间非局部的时滞种群模型波前解的稳定性[J]. 数学季刊, 2022 , 37(1) : 37 -51 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.01.004

Abstract

Key words： Stability; Wavefronts; Weighted-energy method

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