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The Dynamics of a Predator-Prey Model Concerning Impulsive Perturbations
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- 10.3969/j.issn.1001-9626.2006.04.005
- Key Word:
- 脉冲扰动作用;依氏(Ivlev)功能性反应;持续生存;灭绝
Abstract： 基于害虫的生物控制和化学控制策略,考虑到化学杀虫剂对天敌的影响,利用脉冲微分方程建立了在不同的固定时刻分别喷洒杀虫剂和释放天敌的具有依氏(Ivlev)功能性反应的捕食者-食饵脉冲动力系统.证明了当脉冲周期小于某个临界值时,系统存在一个渐近稳定的害虫根除周期解,否则系统是持续生存的.通过分析表明如果采取有效的化学控制策略,那么这种综害虫合控制策略更有效.
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