Complexity of one-prey multi-predator system with impulsive effect and incomplete trophic transfer

A new one-prey multi-predator system with impulsive effect and incomplete trophic transfer was proposed. This system used a different rate of trophic absorption of predators from the rate of the conversion of consumed prey to predator in Ivlev-type functional responses. The extinction and permanence of the system with impulsive perturbation on the predators at fixed moments was investigated. And the conditions for asymptotically stable and permanence of the system was given by using Floquet theory and comparison theorem. Finally,numerical simulations demonstrated the obtained conclusions.