| 混合害虫模型的最优控制策略 |
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| 引用本文： | 杨小平,唐三一. 混合害虫模型的最优控制策略[J]. 纺织高校基础科学学报, 2010, 23(1): 13-17 |
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| 作者姓名： | 杨小平 唐三一 |
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| 作者单位： | 1. 陕西师范大学数学与信息科学学院,陕西,西安,710062;陕西交通职业技术学院,基础部,陕西,西安,710018
2. 陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 在控制害虫不超过经济临界水平的前提下,考虑实施一次不同控制方案时花费最小的控制策略,即寻找脉冲喷洒农药和投放天敌等的最佳组合使得总的花费达到最小问题.利用LambertW函数的定义和性质以及Lagrange乘子条件得到了一次脉冲作用下的成本.结果显示综合控制的成本是最优的.
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| 关 键 词： | 模型 脉冲 最优控制策略 综合害虫管理 经济临界 |
A hybrid model of the optimal pest control strategy |
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| YANG Xiao-ping,TANG San-yi. A hybrid model of the optimal pest control strategy[J]. Basic Sciences Journal of Textile Universities, 2010, 23(1): 13-17 |
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| Authors: | YANG Xiao-ping TANG San-yi |
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| Affiliation: | 1. College of Mathematics ＆ Information Sciences, Shaanxi Normal University, Xi＇an 710062, China; 2. Foundation Department,Shaanxi College of Communication ＆ Technology, Xi＇an 710018, China) |
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| Abstract: | Different one time control tactics are investigated when the numbers of pest are not larger than the economic threshold, and the optimal combination of spraying pesticides and releasing in natural enemies in terms of cost are addressed. The sufficient conditions which guarantee the existences of the optimal strategies in terms of cost are obtained by using the definition and properties of Lambert W function and Lagrange multiplier. The resuits indicate that the integrated control strategy is the optimal. |
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| Keywords: | model impulse optimal control strategy integrated pest management economic threshold |
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