一类空间非局部的时滞种群模型波前解的稳定性

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

数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 37-51.doi: 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

School of Mathematics and Physics, Lanzhou Jiaotong University

收稿日期:2021-11-16 出版日期:2022-03-30 发布日期:2022-03-30
通讯作者: YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, engages in nonlinear functional analysis, differential equations and dynamic systems; E-mail:lily1979101@163.com
作者简介: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.
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.

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

School of Mathematics and Physics, Lanzhou Jiaotong University

Received:2021-11-16 Online:2022-03-30 Published:2022-03-30
Contact: YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, engages in nonlinear functional analysis, differential equations and dynamic systems; E-mail:lily1979101@163.com
About author: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.
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.

摘要/Abstract

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

Abstract: 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.

Key words: Stability, Wavefronts, Weighted-energy method

中图分类号:

O175.26

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.

LIU Kai-kai, YANG Yun-rui, LI Xiao-wu. Stability of Traveling Wavefronts for a Spatially Nonlocal Population Model with Delay[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(1): 37-51.

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一类空间非局部的时滞种群模型波前解的稳定性

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

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