基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质

张泽薇; 谭佳

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基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质

更新时间：2026-01-21

- 基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 107, Issue 3, Pages: 289-293(2007)
- 作者机构：
  
  新疆大学数学与系统科学学院,新疆大学数学与系统科学学院新疆乌鲁木齐830046,新疆,乌鲁木齐,830046
- 作者简介：
- 基金信息：
- DOI：
  CLC： S476.2
- Published：2007
- 稿件说明：
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[1]张泽薇,谭佳.基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J].新疆大学学报(自然科学版),2007,No.107(03):289-293+352.

张泽薇, 谭佳. 基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 107(3): 289-293.
[1]张泽薇,谭佳.基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J].新疆大学学报(自然科学版),2007,No.107(03):289-293+352. DOI：

张泽薇, 谭佳. 基于IPM策略的具有一般功能性反应的捕食与被捕食模型的动力学性质[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 107(3): 289-293. DOI：

摘要

基于综合害虫管理策略(IPM)

对具有脉冲效应的一般功能反应的两种群捕食与被捕食模型进行了分析.通过利用脉冲微分方程的Floquet理论和比较原理

证明了当脉冲周期小于某个临界值时

系统存在一个全局渐近稳定的害虫根除周期解.

Abstract

A predator-prey model with general functional response concerning IPM strategy is proposed and analyzed.By using Floquet theory and comparison method of impulsive differential equations

it is proved that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value.

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references

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