Uniform persistence in nonautonomous delay differential kolmogorov-type population models

Yang Kuang; Baorong Tang

doi:10.1216/rmjm/1181072459

Uniform persistence in nonautonomous delay differential kolmogorov-type population models

Yang Kuang, Baorong Tang

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In this paper we establish sufficient conditions for uniform persistence in nonautonomous Kolmogorov-type delayed population models. The method involves the construction of a set of proper autonomous ordinary differential systems whose solutions can serve as lower or upper bounds for the delayed system in certain regions. The results are new even for nonautonomous ordinary differential systems.

Original language	English (US)
Pages (from-to)	165-186
Number of pages	22
Journal	Rocky Mountain Journal of Mathematics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1216/rmjm/1181072459
State	Published - 1993

Keywords

Kolmogorov-type population models
Lotka-Volterra systems
Nonautonomous delayed systems
Persistence

ASJC Scopus subject areas

General Mathematics

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10.1216/rmjm/1181072459

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abstract = "In this paper we establish sufficient conditions for uniform persistence in nonautonomous Kolmogorov-type delayed population models. The method involves the construction of a set of proper autonomous ordinary differential systems whose solutions can serve as lower or upper bounds for the delayed system in certain regions. The results are new even for nonautonomous ordinary differential systems.",

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AB - In this paper we establish sufficient conditions for uniform persistence in nonautonomous Kolmogorov-type delayed population models. The method involves the construction of a set of proper autonomous ordinary differential systems whose solutions can serve as lower or upper bounds for the delayed system in certain regions. The results are new even for nonautonomous ordinary differential systems.

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KW - Lotka-Volterra systems

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Uniform persistence in nonautonomous delay differential kolmogorov-type population models

Abstract

Keywords

ASJC Scopus subject areas

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