On a delay population model with quadratic nonlinearity

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Date
2012-12-28
Authors
Berezansky, Leonid
Baštinec, Jaromír
Diblík, Josef
Šmarda, Zdeněk
ORCID
0000-0002-6228-3857
 0000-0001-5009-316X
 0000-0002-9559-6630
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Referee
Mark
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Springer Nature
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Abstract
In this paper, a nonlinear delay differential equation with quadratic nonlinearity is investigated. It is proved that the positive equilibrium is globally asymptotically stable without any further limitations on parameters of this equation. limitations on parameters of this equation
V článku je vyšetřovaná diferenciální rovnice se zpožděním s kvadratickou nelinearitou. Je dokázáno, že kladné ekvilibrium je globálně asymptoticky stabilní bez dalších omezení na parametry této rovnice.
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Keywords
Delay differential equation, quadratic nonlinearity, positive equilibrium, Diferenciální rovnice se zpožděním, kvadratická nelinearita, pozitivní ekvilibrium
Citation
Advances in Difference Equations. 2012, vol. 2012, issue 1, p. 1-13.
https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-230
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Peer-reviewed
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en
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Creative Commons Attribution 2.0 Generic
http://creativecommons.org/licenses/by/2.0/
DOI
10.1186/1687-1847-2012-230
URI
http://hdl.handle.net/11012/137964
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Ústav matematiky
Ústav matematiky a deskriptivní geometrie
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