Stabilization of a kind of prey-predator model with holling functional response

被引：3
|
作者：
Liu X. [1 ]
Zhang Q. [1 ]
Zhao L. [1 ]
机构：
[1] College of Science, Northeastern University
来源：
Journal of Systems Science and Complexity | 2006年 / 19卷 / 3期
关键词：
Approximate linearization; Asymptotically stable; Exact linearization; Prey-predator model; State feedback control;
D O I：
10.1007/s11424-006-0436-2
中图分类号：
学科分类号：
摘要：
The stabilization problem of a kind of prey-predator model with Holling functional response is investigated. By approximate linearization approach, a feedback control law stabilizing the closed-loop system is obtained. On the other hand, by exact linearization approach, a suitable change of coordinates in the state space and a feedback control law render the complex nonlinear system to be a linear controllable one such that the positive equilibrium point of the closed-loop system is globally asymptotically stable. © Springer Science + Business Media, Inc. 2006.
引用
收藏
页码：436 / 440
页数：4
相关论文
共 50 条
  • [1] STABILIZATION OF A KIND OF PREY-PREDATOR MODEL WITH HOLLING FUNCTIONAL RESPONSE
    Xi LIU Qingling ZHANG Lichun ZHAO College of Science
    JournalofSystemsScience&Complexity, 2006, (03) : 436 - 440
  • [2] A PREY-PREDATOR MODEL WITH HOLLING II FUNCTIONAL RESPONSE AND THE CARRYING CAPACITY OF PREDATOR DEPENDING ON ITS PREY
    Liu, Hanwu
    Li, Ting
    Zhang, Fengqin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1464 - 1474
  • [3] Prey-Predator Model of Holling Type II Functional Response with Disease on Both Species
    Cheru, Shegaye L.
    Kebedow, Kiros G.
    Ega, Tesfaye T.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024,
  • [4] Stabilization of Modified Leslie-Gower Prey-Predator Model
    Singh A.
    Gakkhar S.
    Differential Equations and Dynamical Systems, 2014, 22 (3) : 239 - 249
  • [5] Incorporating prey refuge in a prey-predator model with a Holling type I functional response: random dynamics and population outbreaks
    Gkana, Amalia
    Zachilas, Loukas
    JOURNAL OF BIOLOGICAL PHYSICS, 2013, 39 (04) : 587 - 606
  • [6] Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest
    Xie, Yingkang
    Wang, Zhen
    Meng, Bo
    Huang, Xia
    APPLIED MATHEMATICS LETTERS, 2020, 106
  • [7] Chaotic dynamics of a discrete prey-predator model with Holling type II
    Agiza, H. N.
    ELabbasy, E. M.
    EL-Metwally, H.
    Elsadany, A. A.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) : 116 - 129
  • [8] Hopf bifurcation in an age-structured prey-predator model with Holling III response function
    Wang, Lijun
    Dai, Chuanjun
    Zhao, Min
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (04) : 3144 - 3159
  • [9] Dynamics Analysis of Prey-predator Model with Allee Effect and Functional Response
    Liu, Chao
    Li, Yuanke
    Li, Aili
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 1525 - 1529
  • [10] Stabilization of Fuzzy Prey-Predator Model Using Backstepping Method
    Hanan, Ibtisam Kamil
    Al-Taie, Fatimah
    Fadhel, Fadhel S.
    Al-Sabbagh, Akram
    MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2024, 20 (01): : 100 - 112
12345