We study persistence in general seasonally varying predator-prey models. Using the notion of basic reproduction number R0 and the theoretical results proved in Rebelo et al. (2012) in the framework of epidemiological models, we show that uniform persistence is obtained as long as R0>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.
Garrione, M., Rebelo, C. (2016). Persistence in seasonally varying predator-prey systems via the basic reproduction number. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 30, 73-98 [10.1016/j.nonrwa.2015.11.007].
Persistence in seasonally varying predator-prey systems via the basic reproduction number
GARRIONE, MAURIZIO;
2016
Abstract
We study persistence in general seasonally varying predator-prey models. Using the notion of basic reproduction number R0 and the theoretical results proved in Rebelo et al. (2012) in the framework of epidemiological models, we show that uniform persistence is obtained as long as R0>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.
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