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
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
  • [21] Global existence and stability of three species predator-prey system with prey-taxis
    Arumugam, Gurusamy
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (05) : 8448 - 8475
  • [22] Steady states of a diffusive predator-prey model with prey-taxis and fear effect
    Jianzhi Cao
    Fang Li
    Pengmiao Hao
    Boundary Value Problems, 2022
  • [23] Boundedness and global stability of the predator-prey model with prey-taxis and competition
    Mi, Yingyuan
    Song, Cui
    Wang, Zhicheng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
  • [24] Dynamic and pattern formation of a diffusive predator-prey model with indirect prey-taxis and indirect predator-taxis
    Wu, Sainan
    Wang, Yiran
    Geng, Dongxu
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 84
  • [25] The effect of prey-taxis in a diffusive predator-prey system with hunting cooperation
    Sarkar, Kankan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2025, 140 (01):
  • [26] Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
    Xiang, Tian
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 39 : 278 - 299
  • [27] A Quasilinear Predator-Prey Model with Indirect Prey-Taxis
    Xing, Jie
    Zheng, Pan
    Pan, Xu
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (03)
  • [28] Predator-prey model with diffusion and indirect prey-taxis
    Ignacio Tello, J.
    Wrzosek, Dariusz
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (11): : 2129 - 2162
  • [29] A Quasilinear Predator-Prey Model with Indirect Prey-Taxis
    Jie Xing
    Pan Zheng
    Xu Pan
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [30] The Dynamics of a Predator–Prey Model with Diffusion and Indirect Prey-Taxis
    Jianping Wang
    Mingxin Wang
    Journal of Dynamics and Differential Equations, 2020, 32 : 1291 - 1310