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
  • [41] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
    Wu, Weixin
    Teng, Zhidong
    ACTA APPLICANDAE MATHEMATICAE, 2021, 175 (01)
  • [42] Traveling waves of a nonlocal dispersal delayed age-structured population model
    Yu, Zhi-Xian
    Yuan, Rong
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 30 (01) : 165 - 184
  • [43] TRAVELING WAVES IN A SIRH MODEL WITH SPATIO-TEMPORAL DELAY AND NONLOCAL DISPERSAL
    杨璐
    杨赟瑞
    宋雪
    Acta Mathematica Scientia, 2022, 42 (02) : 715 - 736
  • [44] Periodic Traveling Waves in Integrodifferential Equations for Nonlocal Dispersal
    Sherratt, Jonathan A.
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2014, 13 (04): : 1517 - 1541
  • [45] 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)
  • [46] PERIODIC TRAVELING WAVES IN A TIME PERIODIC SEIR MODEL WITH NONLOCAL DISPERSAL AND DELAY
    Yang, Lu
    Li, Yongkun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (09): : 5087 - 5104
  • [47] Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal
    Lu Yang
    Yun-Rui Yang
    Xue Song
    Acta Mathematica Scientia, 2022, 42 : 715 - 736
  • [48] Traveling Wave Solutions in a Nonlocal Dispersal SIR Epidemic Model with General Nonlinear Incidence
    Weixin Wu
    Zhidong Teng
    Acta Applicandae Mathematicae, 2021, 175
  • [49] Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay
    Yang, Yun-Rui
    Yang, Yang
    Ma, Zhu-Yan
    APPLICABLE ANALYSIS, 2023, 102 (04) : 1038 - 1058
  • [50] Novel convergence to forced traveling waves for a nonlocal dispersal population model in a shifting environment
    Yan, Rui
    Liu, Guirong
    Wang, Yang
    Yao, Meiping
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 538 (02)
12345