Global existence of a diffusive predator–prey model with prey-stage structure and prey-taxis

被引：0
|
作者：
Ying-Yuan Mi
Cui Song
Zhi-Cheng Wang
机构：
[1] Lanzhou University,School of Mathematics and Statistics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2023年 / 74卷
关键词：
Predator–prey system; Prey-stage structure; Prey-taxis; Global boundedness; 35A01; 35B35; 35B40; 35K57; 92B05; 92C17; 92D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the existence of classical solution of a diffusive predator–prey model with prey-taxis and stage-structure for the immature prey under homogeneous Neumann boundary condition in two dimensions. Here, we emphasize that the immature prey does not disperse compared to the classical predator–prey models.
引用
收藏
相关论文
共 50 条
  • [1] Global existence of a diffusive predator-prey model with prey-stage structure and prey-taxis
    Mi, Ying-Yuan
    Song, Cui
    Wang, Zhi-Cheng
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (03):
  • [2] Bifurcations of a diffusive predator-prey model with prey-stage structure and prey-taxis
    Li, Yan
    Lv, Zhiyi
    Fan, Xiuzhen
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18592 - 18604
  • [3] Stationary Patterns of a Predator-Prey Model with Prey-Stage Structure and Prey-Taxis
    Chen, Meijun
    Cao, Huaihuo
    Fu, Shengmao
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (03):
  • [4] BOUNDEDNESS AND STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY-STAGE STRUCTURE AND PREY-TAXIS
    Wu, Guiling
    Zhang, Yun
    Xin, Qiao
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024,
  • [5] Global solution of a diffusive predator-prey model with prey-taxis
    Wang, Jianping
    Wang, Mingxin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (10) : 2676 - 2694
  • [6] Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
    Wu, Sainan
    Shi, Junping
    Wu, Boying
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (07) : 5847 - 5874
  • [7] Boundedness and global stability of a diffusive prey-predator model with prey-taxis
    Wu, Sainan
    Ni, Wenjie
    [J]. APPLICABLE ANALYSIS, 2021, 100 (15) : 3259 - 3275
  • [8] Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis
    Wu, Sainan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (02)
  • [9] Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
    Tao, Youshan
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 2056 - 2064
  • [10] Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis
    Zhao, Qian
    Liu, Bin
    [J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2022, 12 (03) : 564 - 589
12345