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Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 876–885 (Mi semr1099)  

Differentical equations, dynamical systems and optimal control

Matrix stability and instability criteria for some systems of linear delay differential equations

N. V. Pertsev

Sobolev Institute of Mathematics SB RAS, Omsk Division 13, Pevtsova str., Omsk, 644043, Russia

Abstract: The problem of stability of some systems of linear delay differential equations is considered. Sufficient conditions of asymptotic stability and instability of the trivial solution expressed in terms of matrices of a special kind are given. The results of the analysis of stability of equilibriums of nonlinear model of epidemic process are presented.

Keywords: delay differential equations, asymptotic stability, instability, matrices of a special kind, nonsingular M-matrix, mathematical models of living systems, epidemic process spread.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-29-10086_žÍ


DOI: https://doi.org/10.33048/semi.2019.16.057

Full text: PDF file (164 kB)
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Bibliographic databases:

UDC: 517.929.21:57
MSC: 34K20+92B05
Received March 4, 2019, published June 14, 2019

Citation: N. V. Pertsev, “Matrix stability and instability criteria for some systems of linear delay differential equations”, Sib. Èlektron. Mat. Izv., 16 (2019), 876–885

Citation in format AMSBIB
\Bibitem{Per19}
\by N.~V.~Pertsev
\paper Matrix stability and instability criteria for some systems of linear delay differential equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 876--885
\mathnet{http://mi.mathnet.ru/semr1099}
\crossref{https://doi.org/10.33048/semi.2019.16.057}


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