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(英文)

Analysis of a Holling-Tanner Predator-Prey System With Birth Pulse and Harvesting Effect

研究了一个具有收获和生育脉冲效应的Holling-Tanner捕食者——食饵系统的持久性和收获策略.首先,利用频闪映射,得到了带有Ricker和Beverton-Holt函数的脉冲系统准确的周期解.进而,通过Floquet定理,证明了边界周期解总是不稳定的,利用脉冲比较定理,得到了系统持续生存的条件.最后,得到了系统的最大收获努力量.

The permanence and harvesting policy of a Holling-Tanner predator-prey model with birth pulse and harvesting effect is investigated. Firstt, by the stroboscopic map, we obtain an exact periodic solution of the system which has Ricker function or Beverton-Hoh 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.