Persistence and almost periodic solutions for a discrete ratio-dependent Leslie system with feedback control

被引：2
|
作者：
Li, Zhouhong [1 ]
机构：
[1] Yuxi Normal Univ, Dept Math, Yuxi 653100, Yunnan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
persistence; almost periodic solution; discrete ratio-dependent Leslie system; feedback controls; PREDATOR-PREY SYSTEM; GOWER; MODEL; EXISTENCE;
D O I：
10.1186/1687-1847-2014-214
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by utilizing the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, we consider the existence of almost periodic solutions to a discrete time ratio-dependent Leslie system with feedback control. Some sufficient conditions for the existence of positive almost periodic solutions for the model are obtained. An example is given to illustrate the effectiveness of the main results.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] Persistence and almost periodic solutions for a discrete ratio-dependent Leslie system with feedback control
    Zhouhong Li
    Advances in Difference Equations, 2014
  • [2] Permanence and Almost Periodic Solutions of a Discrete Ratio-Dependent Leslie System with Time Delays and Feedback Controls
    Yu, Gang
    Lu, Hongying
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls
    Chen, Fei
    Cao, Xiaohong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) : 1399 - 1412
  • [4] Permanence of a delayed discrete ratio-dependent leslie system with feedback controls
    Wang, Weiguo
    Lu, Hongying
    ICIC Express Letters, Part B: Applications, 2012, 3 (04): : 815 - 822
  • [5] Periodic solution of a Leslie predator–prey system with ratio-dependent and state impulsive feedback control
    Zhiqing Liang
    Xiaping Zeng
    Guoping Pang
    Yanhong Liang
    Nonlinear Dynamics, 2017, 89 : 2941 - 2955
  • [6] Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls
    Wang, Qi
    Jizhou
    Wang, Zhijie
    Ding, Minmin
    Zhang, Hongyan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 24 - 33
  • [7] Periodic solution of a Leslie predator-prey system with ratio-dependent and state impulsive feedback control
    Liang, Zhiqing
    Zeng, Xiaping
    Pang, Guoping
    Liang, Yanhong
    NONLINEAR DYNAMICS, 2017, 89 (04) : 2941 - 2955
  • [8] Persistence and almost periodic solutions for a discrete fishing model with feedback control
    Zhang, Tianwei
    Li, Yongkun
    Ye, Yuan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1564 - 1573
  • [9] Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
    Fan, M
    Wang, K
    MATHEMATICAL AND COMPUTER MODELLING, 2002, 35 (9-10) : 951 - 961
  • [10] Dynamics of a stochastic ratio-dependent Leslie system
    Fan, Caifeng
    Xiong, Zuoliang
    Wu, Lifeng
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 4660 - 4665
12345