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
  • [31] 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
  • [32] Dynamic Analysis of a Diffusive Predator–Prey Model with Hunting Cooperation Functional Response and Prey-Taxis
    Yahong Peng
    Xingyu Yang
    Tonghua Zhang
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [33] Spatiotemporal patterns of a delayed diffusive ff usive prey-predator model with prey-taxis
    Zhang, Fengrong
    Chen, Ruining
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (07): : 4723 - 4740
  • [34] GLOBAL SOLUTIONS AND PATTERN FORMATIONS FOR A DIFFUSIVE PREY-PREDATOR SYSTEM WITH HUNTING COOPERATION AND PREY-TAXIS
    Zhang, Huisen
    Fu, Shengmao
    Huang, Canyun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (09): : 3621 - 3644
  • [35] Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis
    Zhang, Lina
    Fu, Shengmao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 47 : 460 - 472
  • [36] GLOBAL GENERALIZED SOLUTIONS TO A THREE SPECIES PREDATOR-PREY MODEL WITH PREY-TAXIS
    Wang, Xin
    Li, Ruijing
    Shi, Yu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (12): : 7021 - 7042
  • [37] 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
  • [38] 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
  • [39] BIFURCATION ANALYSIS FOR A ONE PREDATOR AND TWO PREY MODEL WITH PREY-TAXIS
    Haskell, Evan C.
    Bell, Jonathan
    JOURNAL OF BIOLOGICAL SYSTEMS, 2021, 29 (02) : 495 - 524
  • [40] Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms
    Guoqiang REN
    Bin LIU
    Chinese Annals of Mathematics,Series B, 2024, (02) : 297 - 318
12345