对具阶段结构和生育脉冲的种群模型脉冲喷洒杀虫剂的动力学性质(英文)

Dynamic Behaviors of Impulsive Spraying Pesticide on a Population Model with Stage-structured and Birth Pulse

研究了一个具有阶段结构,脉冲生育及在固定时刻对其喷洒杀虫剂的害虫种群模型的动力学性质.运用由频闪映射决定的离散动力系统,得到了具R icker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的影响,得出结论喷洒杀虫剂的最好时间在季末,即在临近生育时期.

We investigate the dynamic behaviors of a stage-structured pest population model with birth pulse and impulsive spraying pesticide at fixed time. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact 1-periodic solution of the system which is with Ricker function and obtain the threshold conditions for its stability. We conclude that the best time of spraying pesticide is at the end of the season, that is before and near the time of birth by showing that the time of spraying pesticide has a strong impact on the number of the mature pest population.