Near-optimal control of a stochastic vegetation-water system with reaction diffusion

被引：11
|
作者：
Pan, Shiliang [1 ]
Zhang, Qimin [2 ]
Anke, Meyer-Baese [3 ]
机构：
[1] North Minzu Univ, Sch Math & Informat Sci, Yinchuan, Ningxia, Peoples R China
[2] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China
[3] Florida State Univ, Dept Sci Comp, Tallahassee, FL 32306 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian function; near-optimal; sufficient and necessary conditions; vegetation-water model; ECOLOGICAL RESTORATION; STABILITY; NOISE;
D O I：
10.1002/mma.6346
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the near-optimal control of a class of stochastic vegetation-water model. The near-optimal control is one problem in which the density of vegetation and water is higher at the lowest cost. We have provided a priori estimates of the vegetation and water densities and obtained the sufficient and necessary conditions for the system's near-optimal control problem by applying the maximum condition of the Hamiltonian function and the Ekeland principle. A numerical simulation is presented to verify our theoretical results.
引用
收藏
页码：6043 / 6061
页数：19
相关论文
共 50 条
  • [1] Stationary distribution of a stochastic vegetation-water system with reaction-diffusion
    Pan, Shiliang
    Zhang, Qimin
    Meyer-Baese, Anke
    [J]. APPLIED MATHEMATICS LETTERS, 2022, 123
  • [2] Stationary distribution and near-optimal control of a stochastic reaction-diffusion HIV model
    Shi, Dan
    Zhang, Mengqing
    Zhang, Qimin
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4381 - 4407
  • [3] Persistence and extinction of a reaction-diffusion vegetation-water system with white noise
    Xiong, Zixiao
    Hu, Jing
    Ye, Ming
    Zhang, Qimin
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 185
  • [4] Finite-time stability and optimal control of an impulsive stochastic reaction-diffusion vegetation-water system driven by Levy process with time-varying delay
    Xiong, Zixiao
    Li, Xining
    Ye, Ming
    Zhang, Qimin
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2021, 18 (06) : 8462 - 8498
  • [5] Near-optimal control for stochastic recursive problems
    Hui, Eddie
    Huang, Jianhui
    Li, Xun
    Wang, Guangchen
    [J]. SYSTEMS & CONTROL LETTERS, 2011, 60 (03) : 161 - 168
  • [6] The near-optimal maximum principle of impulse control for stochastic recursive system
    Jianhui HUANG
    Detao ZHANG
    [J]. Science China(Information Sciences), 2016, 59 (11) : 92 - 105
  • [7] The near-optimal maximum principle of impulse control for stochastic recursive system
    Huang, Jianhui
    Zhang, Detao
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2016, 59 (11)
  • [8] Early warning and basin stability in a stochastic vegetation-water dynamical system
    Zhang, Hongxia
    Xu, Wei
    Lei, Youming
    Qiao, Yan
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 77 : 258 - 270
  • [9] Near-Optimal Control for Singularly Perturbed Stochastic Systems
    Sagara, Muneomi
    Mukaidani, Hiroaki
    Yamamoto, Toru
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2009, E92A (11) : 2874 - 2882
  • [10] Stochastic near-optimal control for a system with Markovian switching and Lévy noise
    Kuang, Daipeng
    Li, Jianli
    Gao, Dongdong
    Luo, Danfeng
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 178
12345