Delay differential equations with Hill's type growth rate and linear harvesting

L. Berezansky; E. Braverman; L. Idels

doi:10.1016/j.camwa.2004.07.015

Delay differential equations with Hill's type growth rate and linear harvesting

L. Berezansky, E. Braverman, L. Idels

Department of Mathematics

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

16 Scopus citations

Abstract

For the equation, Ṅ(t)=r(t)N(t)1+[N(t)]γ-b(t)N(t)-a(t)N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.

Original language	English
Pages (from-to)	549-563
Number of pages	15
Journal	Computers and Mathematics with Applications
Volume	49
Issue number	4
DOIs	https://doi.org/10.1016/j.camwa.2004.07.015
State	Published - 1 Feb 2005

Keywords

Bounded solutions
Delay equations
Extinction and persistence
Mackey-Glass equation

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2004.07.015

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title = "Delay differential equations with Hill's type growth rate and linear harvesting",

abstract = "For the equation, Ṅ(t)=r(t)N(t)1+[N(t)]γ-b(t)N(t)-a(t)N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.",

keywords = "Bounded solutions, Delay equations, Extinction and persistence, Mackey-Glass equation",

author = "L. Berezansky and E. Braverman and L. Idels",

note = "Funding Information: * Partially supported by Israeli Ministry of Absorption. t Partially supported by the NSERC Research Grant and the AIF Research Grant. Author to whom all correspondence should be addressed. :~ Partially supported by MRF (Malaspina University-College Grant).",

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language = "English",

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TY - JOUR

T1 - Delay differential equations with Hill's type growth rate and linear harvesting

AU - Berezansky, L.

AU - Braverman, E.

AU - Idels, L.

N1 - Funding Information: * Partially supported by Israeli Ministry of Absorption. t Partially supported by the NSERC Research Grant and the AIF Research Grant. Author to whom all correspondence should be addressed. :~ Partially supported by MRF (Malaspina University-College Grant).

PY - 2005/2/1

Y1 - 2005/2/1

N2 - For the equation, Ṅ(t)=r(t)N(t)1+[N(t)]γ-b(t)N(t)-a(t)N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.

AB - For the equation, Ṅ(t)=r(t)N(t)1+[N(t)]γ-b(t)N(t)-a(t)N(g(t)), we obtain the following results: boundedness of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.

KW - Bounded solutions

KW - Delay equations

KW - Extinction and persistence

KW - Mackey-Glass equation

UR - http://www.scopus.com/inward/record.url?scp=17944379978&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2004.07.015

DO - 10.1016/j.camwa.2004.07.015

M3 - Article

AN - SCOPUS:17944379978

VL - 49

SP - 549

EP - 563

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 4

ER -

Delay differential equations with Hill's type growth rate and linear harvesting

Abstract

Keywords

ASJC Scopus subject areas

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