Permanence and extinction for a delayed periodic predator-prey system

Rouzimaimaiti Mahemuti; Akbar Ablimit

Rouzimaimaiti Mahemuti College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China
Akbar Ablimit College of Resource and Environment Science, Xinjiang University Urumqi 830046, P.R. China

Keywords: Predator-prey system, Holling type IV functional response, Permanence, Extinction, Stage structure.

Abstract

In this paper, the permanence, extinction and periodic solution of a delayed periodic predator-prey system with Holling type IV functional response and stage structure for prey is studied. By means of comparison theorem, some sufficient and necessary conditions are derived for the permanence of the system.

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