Persistence and periodic solutions in systems of delay differential equations

Pablo Amster and Melanie Bondorevsky

Applied Mathematics and Computation, 2021, vol. 403, issue C

Abstract: We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to guarantee uniform persistence. Moreover, we show the existence of non-trivial T-periodic solutions via topological degree techniques. Finally, we prove that, in some sense, the conditions are also necessary.

Keywords: Delay differential equations; Semi-dynamical systems; Persistence; Guiding functions; Periodic solutions; Topological degree; Global attractor (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s0096300321002836

DOI: 10.1016/j.amc.2021.126193

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