| 污染环境中具有尺度结构的周期种群系统的最优控制 |
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| 引用本文： | 龚 薇 王战平. 污染环境中具有尺度结构的周期种群系统的最优控制[J]. 应用数学, 2020, 33(3): 789-799 |
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| 作者姓名： | 龚 薇 王战平 |
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| 作者单位： | 宁夏大学数学统计学院, 宁夏 银川 750021 |
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| 基金项目： | 宁夏高等学校科学研究项目(NGY2020010);宁夏自然科学基金项目(2020AAC03058);宁夏重点研发计划项目(2020BEG03021)。 |
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| 摘 要： | 本文研究污染环境中具有尺度结构的周期种群系统的最优控制问题.首先,利用积分方程及算子理论证明非负解的存在唯一性,接着利用Mazur定理确定最优策略的存在性,又借助切锥法锥的技巧,导出控制问题的最优条件.
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| 关 键 词： | 污染环境 周期种群 尺度结构 最优控制 |
Optimal Control of Nonlinear Periodic Population Dynamic Systems with Individual Scale in a Polluted Environment |
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| GONG Wei,WANG Zhanping. Optimal Control of Nonlinear Periodic Population Dynamic Systems with Individual Scale in a Polluted Environment[J]. Mathematica Applicata, 2020, 33(3): 789-799 |
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| Authors: | GONG Wei WANG Zhanping |
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| Affiliation: | (School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China) |
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| Abstract: | In this paper,we study an optimal problem of nonlinear periodic population with individual scale in a polluted environment.Firstly,we obtain the existence and uniqueness of nonnegative solution of the model by integral equation and operator theory.Then,the existence of optimal strategy is determined by using Mazur theorem,and the optimal condition of control problem is derived by means of tangent and normal cones in nonlinear analysis. |
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| Keywords: | Polluted environment Periodic population Individual-scale Optimal control |
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