Qualitative Analysis of a Three-Species Reaction-Diffusion Model with Modified Leslie-Gower Scheme

被引：0
|
作者：
Wang, Xiaoni [1 ]
Guo, Gaihui [2 ]
Li, Jian [1 ,2 ]
Du, Mengmeng [2 ]
机构：
[1] Shaanxi Univ Sci & Technol, Sch Elect & Control Engn, Xian 710021, Peoples R China
[2] Shaanxi Univ Sci & Technol, Sch Arts & Sci, Xian 710021, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
PREDATOR-PREY MODEL; POSITIVE STEADY-STATES; SYSTEM; DYNAMICS; BIFURCATIONS; PATTERNS;
D O I：
10.1155/2021/6650783
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The qualitative analysis of a three-species reaction-diffusion model with a modified Leslie-Gower scheme under the Neumann boundary condition is obtained. The existence and the stability of the constant solutions for the ODE system and PDE system are discussed, respectively. And then, the priori estimates of positive steady states are given by the maximum principle and Harnack inequality. Moreover, the nonexistence of nonconstant positive steady states is derived by using Poincare inequality. Finally, the existence of nonconstant positive steady states is established based on the Leray-Schauder degree theory.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Qualitative Analysis of a Modified Leslie-Gower Model with Gestation Delay
    Sivasamy, R.
    Nivethitha, K.
    Maheswari, S.
    [J]. JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2021, 10 (03) : 397 - 411
  • [2] Stationary patterns for a Leslie-Gower type three species model with diffusion
    Hu, Guangping
    Li, Xiaoling
    Lu, Shiping
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2014, 7 (06)
  • [3] Spatiotemporal analysis of a modified Leslie-Gower model with cross-diffusion and harvesting
    Biswas, Samir
    Bhutia, Lakpa Thendup
    Kar, Tapan Kumar
    Bhunia, Bidhan
    Das, Esita
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 470
  • [4] Qualitative analysis of the dynamics of a modified Leslie-Gower predator-prey model with difussion
    Duque, Cosme
    Rosales, Richard
    Sivoli, Zoraida
    [J]. CIENCIA E INGENIERIA, 2023, 44 (03): : 367 - 376
  • [5] Qualitative and Bifurcation Analysis in a Leslie-Gower Model with Allee Effect
    Fang, Kan
    Zhu, Zhenliang
    Chen, Fengde
    Li, Zhong
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
  • [6] Traveling wave solutions in a modified Leslie-Gower model with diffusion and chemotaxis
    Li, Dong
    Tan, Nengxing
    Qiu, Huanhuan
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (05):
  • [7] Qualitative and Bifurcation Analysis in a Leslie-Gower Model with Allee Effect
    Kan Fang
    Zhenliang Zhu
    Fengde Chen
    Zhong Li
    [J]. Qualitative Theory of Dynamical Systems, 2022, 21
  • [8] Stochastic and Diffusion Analysis of a Modified Leslie-Gower Model with Holling Type Functional Responses
    Vidyanath, T.
    Narayan, Lakshmi K.
    Bathul, Shahnaz
    [J]. INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2019, 40 (02) : 67 - 79
  • [9] Nonlinear oscillations in the modified Leslie-Gower model
    Gine, Jaume
    Valls, Claudia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 51 (51)
  • [10] Modeling and analysis of a modified Leslie-Gower type three species food chain model with an impulsive control strategy
    Chakraborty, Kunal
    Das, Kunal
    Yu, Hengguo
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 15 : 171 - 184
12345