A permanence theorem for local dynamical systems. (July 2015)

• Record Type: Journal Article
• Authors: Fonda, Alessandro; Gidoni, Paolo
• Is Part Of: Nonlinear analysis. Volume 121(2015)
• Page Start: 73
• Page End: 81
• Publication Date: 2015-07
• Subjects: 34D05 -- 37B25 -- 92D25; Permanence -- Uniform persistence -- Lotka–Volterra -- Predator–prey; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.10.011
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We provide a necessary and sufficient condition for permanence related to a local dynamical system on a suitable topological space. We then present an illustrative application to a Lotka–Volterra predator–prey model with intraspecific competition.