A pest management model with state feedback control

被引：0
|
作者：
Qiong Liu
Lizhuang Huang
Lansun Chen
机构：
[1] Qinzhou University,College of Mathematics and Computer Science
[2] Guangxi University,College of Mathematics and Information Science
[3] Chinese Academy of Sciences,Academy of Mathematics and System Sciences
来源：
Advances in Difference Equations | / 2016卷
关键词：
pest management; successor function; periodic solution of order one; Bendixson-Dulac discriminance;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, research of a class of state feedback control model which is mainly used in crop pests management, with Bendixson-Dulac discriminance, proves that this model has an unique and globally stable positive equilibrium under the weak time-delay kernel function. Also, we adopt the subsequent function method in the ordinary differential equation of the geometric theory to prove that a sufficient condition holds for the existence of an order one period solution in the system. At the same time, it also proves that the periodic solution is asymptotically stable.
引用
收藏
相关论文
共 50 条
  • [1] A pest management model with state feedback control
    Liu, Qiong
    Huang, Lizhuang
    Chen, Lansun
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [2] A stage structure pest management model with impulsive state feedback control
    Pang, Guoping
    Chen, Lansun
    Xu, Weijian
    Fu, Gang
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 23 (1-3) : 78 - 88
  • [3] A Pest Management Model with Stage Structure and Impulsive State Feedback Control
    Pang, Guoping
    Liang, Zhiqing
    Xu, Weijian
    Li, Lijie
    Fu, Gang
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [4] Periodic solution of a pest management Gompertz model with impulsive state feedback control
    Tongqian Zhang
    Xinzhu Meng
    Rui Liu
    Tonghua Zhang
    [J]. Nonlinear Dynamics, 2014, 78 : 921 - 938
  • [5] Periodic solution of a pest management Gompertz model with impulsive state feedback control
    Zhang, Tongqian
    Meng, Xinzhu
    Liu, Rui
    Zhang, Tonghua
    [J]. NONLINEAR DYNAMICS, 2014, 78 (02) : 921 - 938
  • [6] Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control
    Tian, Yuan
    Zhang, Zhantao
    Sun, Kaibiao
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
  • [7] Dynamic Analysis of a Pest Management Smith Model with Impulsive State Feedback Control and Continuous Delay
    Shi, Zhenzhen
    Li, Yaning
    Cheng, Huidong
    [J]. MATHEMATICS, 2019, 7 (07)
  • [8] GEOMETRICAL ANALYSIS OF A PEST MANAGEMENT MODEL IN FOOD-LIMITED ENVIRONMENTS WITH NONLINEAR IMPULSIVE STATE FEEDBACK CONTROL
    Zhang, Tongqian
    Xu, Tong
    Wang, Junling
    Song, Yi
    Jiang, Zhichao
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (06): : 2261 - 2277
  • [9] Optimization of an integrated feedback control for a pest management predator-prey model
    Shi, Zhenzhen
    Cheng, Huidong
    Liu, Yu
    Wang, Yanhui
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (06) : 7963 - 7981
  • [10] Geometric analysis of a pest management model with Holling's type III functional response and nonlinear state feedback control
    Zhang, Tongqian
    Zhang, Jian
    Meng, Xinzhu
    Zhang, Tonghua
    [J]. NONLINEAR DYNAMICS, 2016, 84 (03) : 1529 - 1539
12345