INVASION TRAVELING WAVE SOLUTIONS IN TEMPORALLY DISCRETE RANDOM-DIFFUSION SYSTEMS WITH DELAYS

被引：5
|
作者：
Xue, Hui [1 ]
Huang, Jianhua [1 ]
Yu, Zhixian [2 ]
机构：
[1] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 05期
关键词：
Invasion traveling wave solutions; diffusive competition systems; existence; asymptotic behavior; uniqueness; VOLTERRA COMPETITION MODEL; NEURAL-NETWORKS; EXISTENCE; FRONTS; SPEED; ASYMPTOTICS; UNIQUENESS; DYNAMICS; EQUATIONS;
D O I：
10.3934/dcdss.2017060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the invasion traveling wave solutions for a temporally discrete delayed reaction-diffusion competitive system. The existence of invasion traveling wave solutions is established by using Schauder's fixed point Theorem. Ikeharas theorem is applied to show the asymptotic behaviors. We further investigate the monotonicity and uniqueness invasion traveling waves with the help of sliding method and strong maximum principle.
引用
收藏
页码：1107 / 1131
页数：25
相关论文
共 50 条
  • [21] Existence of Traveling Wave Solutions for a Model of Tumor Invasion
    Harley, K.
    van Heijster, P.
    Marangell, R.
    Pettet, G. J.
    Wechselberger, M.
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2014, 13 (01): : 366 - 396
  • [22] Invasion traveling wave solutions of a competitive system with dispersal
    Pan, Shuxia
    Lin, Guo
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [23] Periodic traveling waves in reaction diffusion systems with delays
    Wang, ZC
    Zhang, ZQ
    Zou, X
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 10 (1-3): : 59 - 74
  • [24] Existence of traveling wave solutions for density-dependent diffusion competitive systems
    Wang, Yang
    Lv, Xuanyu
    Liu, Fan
    Zhang, Xiaoguang
    [J]. NONLINEARITY, 2024, 37 (09)
  • [25] INERTIAL MANIFOLDS FOR TRAVELING-WAVE SOLUTIONS OF REACTION-DIFFUSION SYSTEMS
    BABIN, AV
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1995, 48 (02) : 167 - 198
  • [26] Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis
    Hou, Lingling
    Kokubu, Hiroshi
    Marciniak-Czochra, Anna
    Takagi, Izumi
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 364 : 667 - 713
  • [27] Traveling wave solutions in partially degenerate cooperative reaction-diffusion systems
    Li, Bingtuan
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (09) : 4842 - 4861
  • [28] Traveling wave solutions in delayed diffusion systems via a cross iteration scheme
    Pan, Shuxia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2807 - 2818
  • [29] Traveling-wave solutions of convection-diffusion systems in nonconservation form
    Sainsaulieu, L
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (05) : 1286 - 1310
  • [30] Traveling wave solutions in delayed reaction-diffusion systems with mixed monotonicity
    Wang, Qi-Ru
    Zhou, Kai
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (10) : 2549 - 2562
12345