摘要
针对最优害虫综合治理问题,首先建立农作物药效模型,与害虫-天敌动态模型结合起来,建立喷洒杀虫剂和释放天敌的脉冲控制模型,并分析周期解的稳定性.然后利用最优控制理论,求出最适杀虫剂药量和喷洒时间间隔,使得杀虫剂药量在农作物的残留最少,同时使害虫数量控制在经济危害阈值以下,给出一个利用杀虫剂控制农业害虫的最佳方案.最后,通过数值模拟解释这一方案的执行.
This paper considers optimization control of integrated pest management.First,the effect of pesticide on crops model is established,and together with the dynamic models of the pest- natural enemies,builds the impulsive models of integrated pest management.Stability of periodic solutions is analyzed.Then,making use of the optimal control theory to solve the optimum dose of the pesticides and the time intervals of the spaying pesticides.Thus,given an optimal pest management strategy of the integrated pest management,which make pesticide residuals in the crops and the total dose of the spraying pesticides least,also make the maximum value of the pest population is on larger then the given Economic Threshold.Finally,the simulation result shows the strategy is viable and effectively.
出处
《生物数学学报》
2014年第2期309-314,共6页
Journal of Biomathematics
基金
辽宁省教育厅科学研究一般项目(L2013420)
辽宁省科技厅博士启动基金项目(20131107)
关键词
害虫综合管理模型
脉冲模型
最优控制
经济阈值
Integrated pest management model
Impulsive models
Optimization control
Economic Threshold
