Traveling waves of a diffusive predator-prey model with nonlocal delay and stage structure

被引：14
作者：
Zhang, Xiao [1 ]
Xu, Rui [1 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang 050003, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 373卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Traveling waves; Reaction-diffusion; Stage structure; Nonlocal delay; GLOBAL STABILITY; POPULATION-MODEL; HOPF-BIFURCATION; SYSTEM; FRONTS; EQUATIONS; TERMS;
D O I：
10.1016/j.jmaa.2010.07.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a diffusive predator-prey model with nonlocal delay and stage structure is investigated. By using the cross iteration method and Schauder's fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. Numerical simulations are carried out to illustrate the theoretical results. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：475 / 484
页数：10
相关论文
共 50 条
  • [31] Traveling waves of some Holling-Tanner predator-prey system with nonlocal diffusion
    Cheng, Hongmei
    Yuan, Rong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 338 : 12 - 24
  • [32] Traveling Waves in a Stage-Structured Predator-Prey Model with Holling Type Functional Response
    Yan, Weifang
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (01) : 407 - 434
  • [33] Stability and traveling waves of a stage-structured predator-prey model with Holling type-II functional response and harvesting
    Hong, Kai
    Weng, Peixuan
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 83 - 103
  • [34] On a predator-prey reaction-diffusion model with nonlocal effects
    Han, Bang-Sheng
    Yang, Ying-Hui
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 46 : 49 - 61
  • [35] A diffusive predator-prey model with generalist predator and time delay
    Yang, Ruizhi
    Jin, Dan
    Wang, Wenlong
    [J]. AIMS MATHEMATICS, 2022, 7 (03): : 4574 - 4591
  • [36] Global dynamics of a delayed predator-prey model with stage structure for the predator and the prey
    Wang, Lingshu
    Feng, Guanghui
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (17) : 3937 - 3949
  • [37] Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge
    Xiao, Zaowang
    Li, Zhong
    Zhu, Zhenliang
    Chen, Fengde
    [J]. OPEN MATHEMATICS, 2019, 17 : 141 - 159
  • [38] Dynamics of stochastic predator-prey models with distributed delay and stage structure for prey
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021, 14 (04)
  • [39] Traveling wave solutions for a continuous and discrete diffusive predator-prey model
    Chen, Yan-Yu
    Guo, Jong-Shenq
    Yao, Chih-Hong
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 445 (01) : 212 - 239
  • [40] Stability and spatiotemporal dynamics in a diffusive predator-prey model with nonlocal prey competition and nonlocal fear effect
    Du, Yanfei
    Sui, Mengting
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 188
12345