南京师大学报（自然科学版）2007，Vol.30Issue(4)：10-16,7.
一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统分析
Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect
摘要
Abstract
The permanence and harvesting policy of a Holling-Tanner predator-prey model with birth pulse and harvesting effect is investigated. First, by the stroboscopic map, we obtain an exact periodic solution of the system which has Ricker function or Beverton-Holt function. Further, by the Floquet theorem, we prove the boundary periodic solution is always unstable. And by the comparison theorem of impulsive differential equation, we obtain the condition for permanence of the system. At last, we gain the maximum harvesting effort for the system.关键词
Holling-Tanner捕食者--食饵系统/生育脉冲/灭绝/持续生存/最大收获努力量Key words
Holling-Tanner predator-prey system, birth pulse, extinction, permanence, the maximum harvesting effort分类
数理科学引用本文复制引用
庞国萍,赵强..一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统分析[J].南京师大学报（自然科学版）,2007,30(4):10-16,7.基金项目
Supported by the NNSF(10471117), the NSF of Guangxi Province (0728249) and the SRF of Guangxi Education Office (200607LX138). （10471117）
