GLOBAL BOUNDEDNESS OF A THREE-SPECIES PREDATOR-PREY MODEL WITH PREY-TAXIS AND COMPETITION

被引：4
|
作者：
Li, Songzhi [1 ]
Wang, Kaiqiang [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 10期
关键词：
Predator-prey; prey-taxis; global boundedness; competition; energy estimates; REACTION-DIFFUSION SYSTEM; BLOW-UP; EXISTENCE; STABILITY;
D O I：
10.3934/dcds.2023061
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following three-species predator-prey problem with prey-taxis and competition: [GRAPHICS] in a bounded domain Omega subset of R-2 with smooth boundary subject to homogeneous Neumann boundary conditions, where all parameters are positive constants. Utilizing coupling energy estimates and semigroup theory, we establish the global existence of classical solutions for sigma > 5/3 and appropriate initial data.
引用
收藏
页码：3644 / 3666
页数：23
相关论文
共 50 条
  • [21] A FREE BOUNDARY PROBLEM FOR A PREDATOR-PREY MODEL WITH NONLINEAR PREY-TAXIS
    Yousefnezhad, Mohsen
    Mohammadi, Seyyed Abbas
    Bozorgnia, Farid
    APPLICATIONS OF MATHEMATICS, 2018, 63 (02) : 125 - 147
  • [22] Dynamics of a predator-prey system with nonlinear prey-taxis
    Liu, Changfeng
    Guo, Shangjiang
    NONLINEARITY, 2022, 35 (08) : 4283 - 4316
  • [23] BOUNDEDNESS, STABILITY AND PATTERN FORMATION FOR A PREDATOR-PREY MODEL WITH SIGMOID FUNCTIONAL RESPONSE AND PREY-TAXIS
    Zhao, Zhihong
    Hu, Huanqin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (37) : 1 - 20
  • [24] Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis
    Mi, Ying-Yuan
    Song, Cui
    Wang, Zhi-Cheng
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (03):
  • [25] Stationary Patterns of a Predator-Prey Model with Prey-Stage Structure and Prey-Taxis
    Chen, Meijun
    Cao, Huaihuo
    Fu, Shengmao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (03):
  • [26] Steady states of a predator-prey model with prey-taxis
    Li, Chenglin
    Wang, Xuhuang
    Shao, Yuanfu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 97 : 155 - 168
  • [27] Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
    Wu, Sainan
    Shi, Junping
    Wu, Boying
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (07) : 5847 - 5874
  • [28] Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity
    Mi, Ying-Yuan
    Song, Cui
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5900 - 5914
  • [29] Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
    Tao, Youshan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 2056 - 2064
  • [30] Stationary Pattern and Global Bifurcation for a Predator-Prey Model with Prey-Taxis and General Class of Functional Responses
    Maimaiti, Yimamu
    Zhang, Wang
    Muhammadhaji, Ahmadjan
    MATHEMATICS, 2023, 11 (22)
12345