采用不同频率的使用喷洒杀虫剂和投放有病害虫两种脉冲控制策略,建立了一类具有脉冲控制的综合害虫治理SI模型,利用脉冲微分方程相关理论和分析的方法分别给出了两种策略下易感害虫灭绝周期解的存在性与全局吸引性的充分条件.
In this paper, we establish a pest management bl model wltn lmpmse conl;rol concerning spraying pesticide and releasing infected pest with different frequency. By using the relevant theory and analytic method of impulsive differential equation, we obtain the sufficient conditions of existence and global attractiveness of susceptible pest extinction periodic solution for the given model under two strategies.