
Here, the uniform persistence (permanence) for processes is discussed. A useful lemma is proved for the persistence of single species. It is then generalized to two competing species where sufficient conditions for the uniform persistence are derived. A drawback of these conditions is that they require finding solutions to corresponding differential equations, which may not always be possible.
skew product semiflows, Population dynamics (general), competitive models, Applied Mathematics, Continuous processes, competition models, Topological dynamics of nonautonomous systems, uniform persistence, Asymptotic properties of solutions to ordinary differential equations, Analysis
skew product semiflows, Population dynamics (general), competitive models, Applied Mathematics, Continuous processes, competition models, Topological dynamics of nonautonomous systems, uniform persistence, Asymptotic properties of solutions to ordinary differential equations, Analysis
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