Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal

被引：2
|
作者：
Zhang, Qian [1 ]
Zhang, Guo-Bao [1 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 01期
关键词：
Nonlocal dispersal; Weak competition system; Traveling wavefronts; Entire solutions; REACTION-DIFFUSION EQUATIONS; TRAVELING-WAVES; UNIQUENESS; STABILITY;
D O I：
10.1007/s10883-020-09487-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the front-like entire solutions for a Lotka-Volterra weak competition system with nonlocal dispersal. Here, an entire solution means a classical solution defined for all space and time variables. This system has traveling wavefronts and enjoys the comparison principle. Based on these traveling wavefronts, we construct some super- and sub-solutions. Then, by using the comparison principle and the super- and sub-solutions method, we establish the existence of front-like entire solutions which behave as two wavefronts coming from the both sides of x-axis. Moreover, some properties of the front-like entire solutions are obtained.
引用
收藏
页码：133 / 151
页数：19
相关论文
共 50 条
  • [31] On a Lotka-Volterra weak competition system with Robin and free boundary conditions
    Zhu, Xuege
    Zhang, Shunqin
    Liu, Xiaowei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 69
  • [32] A slow pushed front in a Lotka-Volterra competition model
    Holzer, Matt
    Scheel, Arnd
    NONLINEARITY, 2012, 25 (07) : 2151 - 2179
  • [33] APPROXIMATE SOLUTIONS TO LOTKA-VOLTERRA COMPETITION EQUATIONS
    BREARLEY, JR
    SOUDACK, AC
    INTERNATIONAL JOURNAL OF CONTROL, 1978, 27 (06) : 933 - 941
  • [34] Forced waves and gap formations for a Lotka-Volterra competition model with nonlocal dispersal and shifting habitats
    Wang, Jia-Bing
    Wu, Chufen
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 58
  • [35] Positive Periodic Solutions of Nonautonomous Lotka-Volterra Dispersal System with Delays
    Zhang, Ting
    Jiang, Minghui
    Huang, Bin
    LIFE SYSTEM MODELING AND INTELLIGENT COMPUTING, PT I, 2010, 6328 : 497 - 505
  • [36] AN ENTIRE SOLUTION TO THE LOTKA-VOLTERRA COMPETITION-DIFFUSION EQUATIONS
    Morita, Yoshihisa
    Tachibana, Koichi
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 40 (06) : 2217 - 2240
  • [37] TRAVELING WAVEFRONTS FOR A DISCRETE DIFFUSIVE LOTKA-VOLTERRA COMPETITION SYSTEM WITH NONLOCAL NONLINEARITIES
    Yang, Zhi-jiao
    Zhang, Guo-bao
    He, Juan
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 2025 : 1 - 19
  • [38] Dynamics of a delayed Lotka-Volterra competition model with directed dispersal
    Ma, Li
    Gao, Jianping
    Li, Dong
    Lian, Wenyan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2023, 71
  • [39] Invasion traveling waves of a three species Lotka-Volterra competitive system with nonlocal dispersal
    Wang, Meng-Lin
    Zhang, Guo-Bao
    He, Pu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 132
  • [40] EXISTENCE OF FORCED WAVES AND GAP FORMATIONS FOR A LOTKA-VOLTERRA COMPETITION SYSTEM WITH NONLOCAL DISPERSAL IN A TIME PERIODIC SHIFT HABITAT
    Mu, Haoran
    Hu, Haijun
    MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, 2024,
12345