Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms

In this paper, we obtain sufficient conditions for the persistence and permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from mathematical biology, with either discrete or distributed delays in both the linear and nonlinear terms,...

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Main Author:	Teresa Faria
Format:	Article
Language:	English
Published:	MDPI AG 2021-01-01
Series:	Mathematics
Subjects:	delay differential systems persistence permanence noncooperative systems
Online Access:	https://www.mdpi.com/2227-7390/9/3/263

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spelling	doaj-76cce95798cf41c398856f203452a3a72021-01-29T00:07:05ZengMDPI AGMathematics2227-73902021-01-01926326310.3390/math9030263Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear TermsTeresa Faria0Departamento de Matemática and CMAFCIO, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, PortugalIn this paper, we obtain sufficient conditions for the persistence and permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from mathematical biology, with either discrete or distributed delays in both the linear and nonlinear terms, and where typically the nonlinear terms are nonmonotone. Applications to systems inspired by mathematical biology models are given.https://www.mdpi.com/2227-7390/9/3/263delay differential systemspersistencepermanencenoncooperative systems
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Teresa Faria
spellingShingle	Teresa Faria Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms Mathematics delay differential systems persistence permanence noncooperative systems
author_facet	Teresa Faria
author_sort	Teresa Faria
title	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms
title_short	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms
title_full	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms
title_fullStr	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms
title_full_unstemmed	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms
title_sort	permanence for nonautonomous differential systems with delays in the linear and nonlinear terms
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2021-01-01
description	In this paper, we obtain sufficient conditions for the persistence and permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from mathematical biology, with either discrete or distributed delays in both the linear and nonlinear terms, and where typically the nonlinear terms are nonmonotone. Applications to systems inspired by mathematical biology models are given.
topic	delay differential systems persistence permanence noncooperative systems
url	https://www.mdpi.com/2227-7390/9/3/263
work_keys_str_mv	AT teresafaria permanencefornonautonomousdifferentialsystemswithdelaysinthelinearandnonlinearterms
_version_	1724319061832105984

Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms

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