Permanence of a stage-structured predator–prey system

摘要

A stage-structured predator–prey system (stage structure for both predator and prey) with discrete delay is studied in this paper. By introducing a new lemma and applying the standard comparison theorem, a set of novel criteria which ensure the permanence of the system is obtained. Our result supplements the main results of Chen, Xie and Li [Partial survival and extinction of a delayed predator–prey model with stage structure, Applied Mathematics and Computation, 219 (8) (2012) 4157–4162].