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

被引：19

作者：

Garrione, Maurizio ^{[1
]}

Rebelo, Carlota ^{[2
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

[2] Univ Lisbon, Fac Ciencias, Ctr Matemat Aplicacoes Fundamentals & Invest Oper, Edificio C6,Piso 2, P-1749016 Lisbon, Portugal

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 30卷

关键词：

Uniform persistence; Basic reproduction number; Predator-prey systems; EPIDEMIC MODELS; GLOBAL DYNAMICS; PERMANENCE; THRESHOLD; CHAOS;

D O I：

10.1016/j.nonrwa.2015.11.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study persistence in general seasonally varying predator prey models. Using the notion of basic reproduction number R-0 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 R-0 > 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. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：73 / 98

页数：26

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