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

Teresa Faria
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Teresa Faria: Departamento de Matemática and CMAFCIO, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, 1749-016 Lisboa, Portugal

Mathematics, 2021, vol. 9, issue 3, 1-20

Abstract: 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.

Keywords: delay differential systems; persistence; permanence; noncooperative systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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