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arXiv · 2001.11995

Persistence and periodic solutions in systems of delay differential equations

Pablo Amster·Melanie Bondorevsky
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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.

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Pablo Amster, Melanie Bondorevsky. 2020-01-31. Persistence and periodic solutions in systems of delay differential equations. https://arxiv.org/abs/2001.11995

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