Stability analysis in a nonlinear ecological model

被引：0
|
作者：
Gu, Xiang [1 ]
Xia, Yong-Hui [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2012年 / 39卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Stability; Predator-prey model; Lyapunov function; Fixed point theory;
D O I：
10.1007/s12190-011-0525-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A high dimension predator-prey model is considered in this paper. Some novel criteria are established for the existence and global asymptotic stability of a unique equilibrium of such model. The approaches are based on fixed point theory, matrix spectral theory and Lyapunov functional. The existence and stability conditions given in terms of spectral radius of explicit matrices are better than conditions obtained by using classic norms. Finally, an example and its simulations show the feasibility of our results.
引用
收藏
页码：189 / 200
页数：12
相关论文
共 50 条
  • [1] Stability analysis in a nonlinear ecological model
    Xiang Gu
    Yong-Hui Xia
    Journal of Applied Mathematics and Computing, 2012, 39 (1-2) : 189 - 200
  • [2] Stability analysis of an ecological model
    Mazenc, F.
    Lobry, C.
    Rapaport, A.
    POSITIVE SYSTEMS, PROCEEDINGS, 2006, 341 : 113 - 120
  • [3] Global asymptotic stability of an almost periodic nonlinear ecological model
    Xia, Yong-Hui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (11) : 4451 - 4478
  • [4] Analysis of the Stability and Chaotic Dynamics of an Ecological Model
    Abbasi, Muhammad Aqib
    Din, Qamar
    Albalawi, Olayan
    Niaz, Rizwan
    Alomair, Mohammed Ahmed
    Alomair, Abdullah Mohammed
    COMPLEXITY, 2024, 2024
  • [5] MODELLING AND STABILITY ANALYSIS OF THE COMPETITIONAL ECOLOGICAL MODEL WITH HARVESTING
    Al Nuaimi, Marwa
    Jawad, Shireen
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2022,
  • [6] Nonlinear stability analysis of a disk brake model
    Daniel Hochlenert
    Nonlinear Dynamics, 2009, 58 : 63 - 73
  • [7] Stability and bifurcation analysis of a nonlinear model of bioreactor
    Dimitrova, Neli
    Zlateva, Plamena
    Numerical Methods and Applications, 2007, 4310 : 296 - 303
  • [8] STABILITY AND BIFURCATION ANALYSIS OF A NONLINEAR COCHLEAR MODEL
    Nankali, Amir
    Grosh, Karl
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2014, VOL 8, 2014,
  • [9] Nonlinear stability analysis of a disk brake model
    Hochlenert, Daniel
    NONLINEAR DYNAMICS, 2009, 58 (1-2) : 63 - 73
  • [10] THE DEVELOPMENT AND STABILITY ANALYSIS OF A NONLINEAR GROWTH MODEL FOR MICROORGANISMS
    Li, Yuhong
    Men, Hong
    Thomson, Gareth
    Tian, Fangbao
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2010, 3 (04) : 417 - 438
12345