论文部分内容阅读
考虑了一个害虫和天敌都有阶段结构及具有饱和反应率的阶段时滞脉冲捕食者-食饵模型,利用人工周期定量地投放有病的害虫和天敌去治理害虫.借助脉冲时滞微分方程的相关理论和方法获得易感害虫根除周期解全局吸引的充分条件以及天敌与易感害虫可以共存且易感害虫的密度可以控制在经济危害水平之下的充分条件.我们的结论为现实的害虫管理提供了可靠的策略依据.
Considering a stage-delayed impulsive predator-prey model with phase structure and saturated response rate, a pest and its natural enemies are considered, and pests are controlled by pests and natural enemies quantitatively by artificial cycles. With the help of impulsive delay differential equations Theory and Methods Sufficient conditions for global attraction of pest-eradication cycles of susceptible pests and sufficient conditions that natural enemies and susceptible pests can coexist and the susceptibility of pest populations to levels below economic hazard can be controlled Our conclusion provides realistic pest management Reliable strategy basis.