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] Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms
    Ren, Guoqiang
    Liu, Bin
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2024, 45 (02) : 297 - 318
  • [22] The Dynamics of a Predator-Prey Model with Diffusion and Indirect Prey-Taxis
    Wang, Jianping
    Wang, Mingxin
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (03) : 1291 - 1310
  • [23] Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms
    Guoqiang REN
    Bin LIU
    ChineseAnnalsofMathematics,SeriesB, 2024, (02) : 297 - 318
  • [24] 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
  • [25] 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):
  • [26] Global existence and boundedness in a 3D predator-prey system with nonlinear diffusion and prey-taxis
    Wang, Renhu
    Wang, Xuezhong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
  • [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] Predator invasion in predator-prey model with prey-taxis in spatially heterogeneous environment
    Choi, Wonhyung
    Ahn, Inkyung
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 65
  • [29] Global Solutions to a three-species Predator-prey model with Diffusion
    Wei, Chuangwen
    Chen, Meiyan
    Luo, Zhixue
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 2, 2009, : 261 - 267
  • [30] 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
12345