A FREE BOUNDARY PROBLEM FOR A PREDATOR-PREY MODEL WITH NONLINEAR PREY-TAXIS

被引：8
|
作者：
Yousefnezhad, Mohsen [1 ]
Mohammadi, Seyyed Abbas [2 ]
Bozorgnia, Farid [3 ]
机构：
[1] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[2] Univ Yasuj, Coll Sci, Dept Math, Yasuj 7591874934, Iran
[3] Orebro Univ, Sch Sci & Technol, Dept Math, SE-70182 Orebro, Sweden
来源：
APPLICATIONS OF MATHEMATICS | 2018年 / 63卷 / 02期
关键词：
prey-predator model; prey-taxis; free boundary; classical solutions; global existence; REACTION-DIFFUSION SYSTEM; SPATIAL SEGREGATION; STABILITY;
D O I：
10.21136/AM.2018.0227-17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a reaction-diffusion system modeling a free boundary problem of the predator-prey type with prey-taxis over a one-dimensional habitat. The free boundary represents the spreading front of the predator species. The global existence and uniqueness of classical solutions to this system are established by the contraction mapping principle. With an eye on the biological interpretations, numerical simulations are provided which give a real insight into the behavior of the free boundary and the stability of the solutions.
引用
收藏
页码：125 / 147
页数：23
相关论文
共 50 条
  • [1] A Free Boundary Problem for a Predator-Prey Model with Nonlinear Prey-Taxis
    Mohsen Yousefnezhad
    Seyyed Abbas Mohammadi
    Farid Bozorgnia
    Applications of Mathematics, 2018, 63 : 125 - 147
  • [2] The diffusive Beddington-DeAngelis predator-prey model with nonlinear prey-taxis and free boundary
    Wang, Jianping
    Wang, Mingxin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) : 6741 - 6762
  • [3] Predator-prey model with prey-taxis and diffusion
    Chakraborty, Aspriha
    Singh, Manmohan
    Lucy, David
    Ridland, Peter
    MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (3-4) : 482 - 498
  • [4] Dynamics of a predator-prey system with nonlinear prey-taxis
    Liu, Changfeng
    Guo, Shangjiang
    NONLINEARITY, 2022, 35 (08) : 4283 - 4316
  • [5] A Quasilinear Predator-Prey Model with Indirect Prey-Taxis
    Xing, Jie
    Zheng, Pan
    Pan, Xu
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (03)
  • [6] 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
  • [7] A Quasilinear Predator-Prey Model with Indirect Prey-Taxis
    Jie Xing
    Pan Zheng
    Xu Pan
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [8] 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
  • [9] 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
  • [10] 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
12345