人工捕虫—农药喷杀组合防控八角害虫的数学模型

A Mathematical Model for the Prevention and Control of Illicium Verum Pests by the Combination of Artificial Insect Catching and Pesticide Spraying

该文根据八角害虫的特征和防治害虫的措施,建立人工捕虫与农药喷杀组合的数学模型;然后运用数学分析和数值模拟的方法,讨论人工捕虫量和农药喷杀强度对害虫数量的影响,并给出模型的周期解;最后比较农药杀虫策略与人工捕虫—农药喷杀组合防控策略的效果,从而获得防治害虫的最优策略.

In this paper,according to the biological characteristics of illicium verum pests,we establish a mathematical model for the combination of artificial pest catching and pestcide spraying.We discuss,by the methods of mathematical analysis and numerical simulation,the effect of the amount of artificial pest catching and the intensity of pesticide spraying on the population of pests,and we give periodic solutions of this model.Then we obtain the optimal strategy of pest catching by comparing the effects of pestcide spraying,and the combination of artificial pest catching and pestcide spraying.