研究了一个具有阶段结构、脉冲生育及固定时刻喷洒杀虫剂的害虫种群模型.运用由频闪映射决定的离散动力系统,得到了具Beverton-Holt功能函数系统的精确1-周期解,并讨论了它在临界条件下的稳定性.通过证明喷洒杀虫剂的时间对成年害虫有巨大影响,得出喷洒杀虫剂的最好时间在季末,即在临近生育时期.
A stage-structured pest population model with birth pulse and impulsive spraying pesticide at fixed time is discussed. Using the discrete dynamical system determined by the stroboscopic map, an exact 1-periodic solution of the system which is with Beverton-Holt function and the threshold conditions for its stability are obtained. It is coneluded that the best time of spraying pesticide is at the end of the season, that is,before and near the time of birth , and it shows the time of spraying pesticide has a strong impact on the number of the mature pest population.