Travelling wave fronts in a vector disease model with delay

被引：8
|
作者：
Lin, Guojian [1 ,2 ]
Hong, Yiguang [2 ]
机构：
[1] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
[2] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2008年 / 32卷 / 12期
关键词：
vector disease model; travelling wave front; monotone iteration technique; upper and lower solution;
D O I：
10.1016/j.apm.2007.10.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：2831 / 2838
页数：8
相关论文
共 50 条
  • [31] GLOBAL STABILITY OF TRAVELLING FRONTS FOR A DAMPED WAVE EQUATION WITH BISTABLE NONLINEARITY
    Gallay, Thierry
    Joly, Romain
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2009, 42 (01): : 103 - 140
  • [32] Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
    Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
    不详
    Appl Math Lett, 5 (33-38):
  • [33] Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
    Sherratt, JA
    Marchant, BP
    APPLIED MATHEMATICS LETTERS, 1996, 9 (05) : 33 - 38
  • [34] The spreading fronts in a mutualistic model with delay
    Li, Mei
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (06)
  • [35] Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay
    Zhou, Yonghui
    Ji, Shuguan
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (05)
  • [36] Traveling wave of a reaction–diffusion vector-borne disease model with nonlocal effects and distributed delay
    Kai Wang
    Hongyong Zhao
    Hao Wang
    Ran Zhang
    Journal of Dynamics and Differential Equations, 2023, 35 : 3149 - 3185
  • [37] The Evolution of Travelling Wave-Fronts in a Hyperbolic Fisher Model. IV. Generalised Fisher Kinetics
    Leach, J. A.
    QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2012, 65 (04): : 435 - 481
  • [38] Method for the generation of arbitrary complex vector wave fronts
    Neil, MAA
    Massoumian, F
    Juskaitis, R
    Wilson, T
    OPTICS LETTERS, 2002, 27 (21) : 1929 - 1931
  • [39] Travelling fronts in cylinders and their stability
    Bebernes, JW
    Li, CM
    Li, Y
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1997, 27 (01) : 123 - 150
  • [40] Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
    Pan, Shuxia
    Li, Wan-Tong
    Lin, Guo
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2009, 60 (03): : 377 - 392
12345