Persistence in seasonally varying predator-prey systems via the basic reproduction number

We study persistence in general seasonally varying predator-prey models. Using the notion of basic reproduction numberR0and the theoretical results proved in Rebelo et al. (2012) in the framework of epidemiological models, we show that uniform persistence is obtained as long asR0>1. In this way, we extend previous results obtained in the autonomous case for models including competition among predators, prey-mesopredator-superpredator models and Leslie-Gower systems