TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL

被引：0
|
作者：
Feiying Yang [1 ]
Runlong Qiao [1 ]
Wantong Li [1 ]
机构：
[1] School of Math.and Statistics,Lanzhou University
来源：
Annals of Applied Mathematics | 2014年 / 02期
关键词：
traveling waves; nonlocal dispersal; Laplace transform;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper is concerned with traveling wave solutions to a nonlocal dispersal epidemic model.Combining the upper and lower solutions and monotone iteration method,we establish the existence of nondecreasing traveling wave fronts for the speed being larger than the critical one.Furthermore,by the approximation method,the existence of traveUng wave fronts for the critical speed is estabUshed as weU.Finally,we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.
引用
收藏
页码：222 / 235
页数：14
相关论文
共 50 条
  • [31] Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
    Wu, Xin
    Ma, Zhaohai
    OPEN MATHEMATICS, 2022, 20 (01): : 1451 - 1469
  • [32] Traveling waves for a nonlocal dispersal predator–prey model with two preys and one predator
    Xu-Dong Zhao
    Fei-Ying Yang
    Wan-Tong Li
    Zeitschrift für angewandte Mathematik und Physik, 2022, 73
  • [33] Traveling waves for a nonlocal dispersal predator-prey model with two preys and one predator
    Zhao, Xu-Dong
    Yang, Fei-Ying
    Li, Wan-Tong
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (03):
  • [34] Traveling Waves in a Nonlocal Dispersal SIR Model with Standard Incidence Rate and Nonlocal Delayed Transmission
    Wu, Kuilin
    Zhou, Kai
    MATHEMATICS, 2019, 7 (07)
  • [35] Existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed
    Feng, Shiqiang
    Gao, Dapeng
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (06) : 9357 - 9380
  • [36] Almost periodic traveling waves for a nonlocal dispersal system
    Yang, Lu
    Li, Yongkun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 130
  • [37] STABILITY OF BISTABLE TRAVELING WAVEFRONTS FOR A NONLOCAL DISPERSAL EPIDEMIC SYSTEM
    Hao, Yu-Cai
    Zhang, Guo-Bao
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (49)
  • [38] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
    Wu, Weixin
    Teng, Zhidong
    ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
  • [39] Traveling waves of a nonlocal dispersal SEIR model with standard incidence<bold> </bold>
    Qiao, Shao-Xia
    Yang, Fei-Ying
    Li, Wan-Tong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 49 : 196 - 216
  • [40] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
    Weixin Wu
    Zhidong Teng
    Acta Applicandae Mathematicae, 2021, 175
12345