一个关于害虫管理的时滞脉冲生态传染病模型(英文)

A Delayed Eco-Epidemical Model with Pulse for Pest Management

本文建立了一个通过脉冲投放含有感染病毒的染病者的阶段结构SI传染病模型。并且作出了相应的数学和生物的研究．获得了当脉冲释放率大于一个关键值μ^＊时全局吸引的害虫根除的周期解．当易感害虫存在时，可以通过染病者的脉冲释放量把易感害虫控制在经济危害水平（EIL）以下．

This paper formulates a robust stage-structured SI epidemic model with periodic constant pulse releasing for the infectious with pathogens and performs a systematic mathematical and ecological study. We obtain the exact pest-eradication periodic solution which is globally attractive if the pulse releasing rate is larger than a threshold μ^＊ Further, when the susceptible pest population exists, we can control it under the economic injury level （EIL） if the pulse releasing rate is within an appropriate range.