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一类具有脉冲的捕食与被捕食系统的动态行为
引用本文:李畅通.一类具有脉冲的捕食与被捕食系统的动态行为[J].西北纺织工学院学报,2010(5):673-675,682.
作者姓名:李畅通
作者单位:西安工业大学数理系,陕西西安710032
基金项目:陕西省教育厅科学计划项目(09JK480);西安工业大学校长基金项目(XAGDJJ0830)
摘    要:研究具有周期脉冲的捕食与被捕食模型的动态行为.通过喷洒杀虫剂和投放天敌的周期不同,得到了捕食系统害虫灭绝周期解的全局稳定性的临界值,分析喷洒杀虫剂和投放天敌的周期如何影响生物控制,为害虫治理提供了策略基础.

关 键 词:生物控制  周期解  全局稳定  捕食与被捕食系统

The dynamical behaviour of the solutions of predator-prey model
LI Chang-tong.The dynamical behaviour of the solutions of predator-prey model[J].Journal of Northwest Institute of Textile Science and Technology,2010(5):673-675,682.
Authors:LI Chang-tong
Affiliation:LI Chang-tong (Department of Mathematics and Physics, Xi'an Technological University,Xi'an 710032, China)
Abstract:The predator-prey system with periodic impulsive intervention at different time points, is investigated, With releases natural enemies either more or less frequent than harvests, a stability threshold condition for pest eradication periodic solution is provided, and the periodic of releases effects was studied on integrated pest management (IPM). The results provide tactical basis for the practical pest management.
Keywords:biological control  periodic impulsive  periodic solution  predator-prey model
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