On a delay population model with a quadratic nonlinearity without positive steady state

Jaromír Baštinec; Leonid Berezansky; Josef Diblík; Zdeněk Šmarda

doi:10.1016/j.amc.2013.11.061

On a delay population model with a quadratic nonlinearity without positive steady state

Jaromír Baštinec, Leonid Berezansky, Josef Diblík, Zdeněk Šmarda

Department of Mathematics

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

13 Scopus citations

Abstract

A population model described by a nonlinear delay differential equation with a quadratic nonlinearityxÌ‡(t)=Σk=1m ^αk(t)x(^hk(t))-β(t)^x2(t),t≥0is considered where m≥1 is an integer, functions ^αk,β:[0.

Original language	English
Pages (from-to)	622-629
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	227
DOIs	https://doi.org/10.1016/j.amc.2013.11.061
State	Published - 15 Jan 2014

Keywords

Delayed equation
Global attractor without positive steady state
Population model
Quadratic nonlinearity

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2013.11.061

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title = "On a delay population model with a quadratic nonlinearity without positive steady state",

abstract = "A population model described by a nonlinear delay differential equation with a quadratic nonlinearityx{\`I}‡(t)=Σk=1m αk(t)x(hk(t))-β(t)x2(t),t≥0is considered where m≥1 is an integer, functions αk,β:[0.",

keywords = "Delayed equation, Global attractor without positive steady state, Population model, Quadratic nonlinearity",

author = "Jarom{\'i}r Ba{\v s}tinec and Leonid Berezansky and Josef Dibl{\'i}k and Zden{\v e}k {\v S}marda",

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AU - Baštinec, Jaromír

AU - Berezansky, Leonid

AU - Diblík, Josef

AU - Šmarda, Zdeněk

PY - 2014/1/15

Y1 - 2014/1/15

N2 - A population model described by a nonlinear delay differential equation with a quadratic nonlinearityxÌ‡(t)=Σk=1m αk(t)x(hk(t))-β(t)x2(t),t≥0is considered where m≥1 is an integer, functions αk,β:[0.

AB - A population model described by a nonlinear delay differential equation with a quadratic nonlinearityxÌ‡(t)=Σk=1m αk(t)x(hk(t))-β(t)x2(t),t≥0is considered where m≥1 is an integer, functions αk,β:[0.

KW - Delayed equation

KW - Global attractor without positive steady state

KW - Population model

KW - Quadratic nonlinearity

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M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On a delay population model with a quadratic nonlinearity without positive steady state

Abstract

Keywords

ASJC Scopus subject areas

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