Minimal Wave Speed in an Integrodifference System of Predator-Prey Type

被引:0
|
作者
Sun, Baoju [1 ]
Wu, Fuzhen [1 ]
机构
[1] Zhejiang Univ Water Resources & Elect Power, Dept Basic, Key Lab Technol Rural Water Management Zhejiang P, Hangzhou 310018, Zhejiang, Peoples R China
关键词
TRAVELING-WAVES; SPREADING SPEEDS; MODELS; GROWTH; EQUATIONS; SLOW;
D O I
10.1155/2020/2704620
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] Minimal wave speed in an HIV-1 virus integrodifference system
    Pan, Shuxia
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (02)
  • [22] Traveling wave solutions for a predator-prey system with two predators and one prey
    Guo, Jong-Shenq
    Nakamura, Ken-Ichi
    Ogiwara, Toshiko
    Wu, Chin-Chin
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 54
  • [23] Coevolution in A Predator-Prey System
    Zu, Jian
    Zu, Bo
    Huang, Gang
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 479 - 485
  • [24] Wave propagation in predator-prey systems
    Fu, Sheng-Chen
    Tsai, Je-Chiang
    NONLINEARITY, 2015, 28 (12) : 4389 - 4423
  • [25] Coexistence in a predator-prey system
    Droz, M
    Pekalski, A
    PHYSICAL REVIEW E, 2001, 63 (05):
  • [26] STABILITY OF PREDATOR-PREY SYSTEM
    DROZDOV, AD
    KOLMANOVSKII, VB
    TRIGIANTE, D
    AUTOMATION AND REMOTE CONTROL, 1992, 53 (11) : 1697 - 1704
  • [27] ON A KIND OF PREDATOR-PREY SYSTEM
    DING, SH
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (06) : 1426 - 1435
  • [28] A diffusive predator-prey system with prey refuge and predator cannibalism
    Zhang, Yuxuan
    Rong, Xinmiao
    Zhang, Jimin
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (03) : 1445 - 1470
  • [29] Effects of prey refuge and predator cooperation on a predator-prey system
    Jang, Sophia R-J
    Yousef, Ahmed M.
    JOURNAL OF BIOLOGICAL DYNAMICS, 2023, 17 (01)
  • [30] MINIMAL WAVE SPEEDS OF DELAYED DISPERSAL PREDATOR-PREY SYSTEMS WITH STAGE STRUCTURE
    Pan, Shuxia
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,