Uniformly Persistent Systems
- 1 March 1986
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 96 (3) , 425-430
- https://doi.org/10.2307/2046588
Abstract
Conditions are given under which weak persistence of a dynamical system with respect to the boundary of a given set implies uniform persistence.Keywords
This publication has 14 references indexed in Scilit:
- Persistence in a model of three competitive populationsMathematical Biosciences, 1985
- Persistence in models of three interacting predator-prey populationsMathematical Biosciences, 1984
- Competition for fluctuating nutrientJournal of Mathematical Biology, 1983
- Top predator persistence in differential equation models of food chains: The effects of omnivory and external forcing of lower trophic levelsJournal of Mathematical Biology, 1982
- A general cooperation theorem for hypercyclesMonatshefte für Mathematik, 1981
- Persistence in food chains with general interactionsMathematical Biosciences, 1980
- Persistence in food webs—I Lotka-Volterra food chainsBulletin of Mathematical Biology, 1979
- Competing PredatorsSIAM Journal on Applied Mathematics, 1978
- Stable manifolds and hyperbolic setsPublished by American Mathematical Society (AMS) ,1970
- Dynamical Systems: Stability Theory and ApplicationsLecture Notes in Mathematics, 1967