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

Mathematics(all)

Access to Document

10.1216/rmjm/1181072459

Cite this

@article{05304cafeb1c4bdea55b6ca0b10152ef,

title = "Uniform persistence in nonautonomous delay differential kolmogorov-type population models",

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.",

keywords = "Kolmogorov-type population models, Lotka-Volterra systems, Nonautonomous delayed systems, Persistence",

author = "Yang Kuang and Baorong Tang",

year = "1993",

doi = "10.1216/rmjm/1181072459",

language = "English (US)",

volume = "24",

pages = "165--186",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "1",

}

TY - JOUR

T1 - Uniform persistence in nonautonomous delay differential kolmogorov-type population models

AU - Kuang, Yang

AU - Tang, Baorong

PY - 1993

Y1 - 1993

N2 - 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.

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.

KW - Kolmogorov-type population models

KW - Lotka-Volterra systems

KW - Nonautonomous delayed systems

KW - Persistence

UR - http://www.scopus.com/inward/record.url?scp=0001546222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001546222&partnerID=8YFLogxK

U2 - 10.1216/rmjm/1181072459

DO - 10.1216/rmjm/1181072459

M3 - Article

AN - SCOPUS:0001546222

SN - 0035-7596

VL - 24

SP - 165

EP - 186

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 1

ER -

Uniform persistence in nonautonomous delay differential kolmogorov-type population models

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this