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

页码：6043 / 6061

页数：19

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