Nicholson's blowflies differential equations revisited: Main results and open problems

L. Berezansky; E. Braverman; L. Idels

doi:10.1016/j.apm.2009.08.027

Nicholson's blowflies differential equations revisited: Main results and open problems

L. Berezansky, E. Braverman, L. Idels

Department of Mathematics

Research output: Contribution to journal › Review article › peer-review

254 Scopus citations

Abstract

This review covers permanence, oscillation, local and global stability of solutions for Nicholson's blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed delay and models with periodic coefficients, are considered.

Original language	English
Pages (from-to)	1405-1417
Number of pages	13
Journal	Applied Mathematical Modelling
Volume	34
Issue number	6
DOIs	https://doi.org/10.1016/j.apm.2009.08.027
State	Published - 1 Jun 2010

Keywords

Delay equations
Nicholson's blowflies equation
Oscillation
Periodic solutions
Permanence
Stability

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2009.08.027

Cite this

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title = "Nicholson's blowflies differential equations revisited: Main results and open problems",

abstract = "This review covers permanence, oscillation, local and global stability of solutions for Nicholson's blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed delay and models with periodic coefficients, are considered.",

keywords = "Delay equations, Nicholson's blowflies equation, Oscillation, Periodic solutions, Permanence, Stability",

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

year = "2010",

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AU - Braverman, E.

AU - Idels, L.

PY - 2010/6/1

Y1 - 2010/6/1

N2 - This review covers permanence, oscillation, local and global stability of solutions for Nicholson's blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed delay and models with periodic coefficients, are considered.

AB - This review covers permanence, oscillation, local and global stability of solutions for Nicholson's blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed delay and models with periodic coefficients, are considered.

KW - Delay equations

KW - Nicholson's blowflies equation

KW - Oscillation

KW - Periodic solutions

KW - Permanence

KW - Stability

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JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

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Nicholson's blowflies differential equations revisited: Main results and open problems

Abstract

Keywords

ASJC Scopus subject areas

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