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
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