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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1301–1310
DOI: https://doi.org/10.17377/semi.2018.15.106 (Mi semr997) 		 
Differentical equations, dynamical systems and optimal control

On local asymptotic stability of a model of epidemic process

V. V. Malyginaa, M. V. Mulyukova, N. V. Pertsevb

a Perm National Research Polytechnic University, Komsomolskiy pr., 29, 614990, Perm, Russia
b Sobolev Institute of Mathematics SB RAS, Omsk Division, Pevtsova street 13, 644033,Omsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.106
Abstract: We consider a model of the epidemic process, and use a system of differential equations with retarded argument for the description of the model. We obtain a number of stability tests for the nontrivial equilibrium point and construct stability regions in the parameter space of the original problem.
Keywords: epidemic process, mathematical model, delay differential equation, stability, stability region.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928_а
Siberian Branch of Russian Academy of Sciences I.1.1 (проект № 0314-2016-0009)
Received August 23, 2018, published October 30, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 34K06,34K20
Language: Russian
Citation: V. V. Malygina, M. V. Mulyukov, N. V. Pertsev, “On local asymptotic stability of a model of epidemic process”, Sib. Èlektron. Mat. Izv., 15 (2018), 1301–1310
Citation in format AMSBIB
\Bibitem{MalMulPer18}
\by V.~V.~Malygina, M.~V.~Mulyukov, N.~V.~Pertsev
\paper On local asymptotic stability of a model of epidemic process
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1301--1310
\mathnet{http://mi.mathnet.ru/semr997}
\crossref{https://doi.org/10.17377/semi.2018.15.106}
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