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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 7, Pages 1174–1180 (Mi zvmmf622)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control of the spread of an infectious disease with allowance for an incubation period

E. Andreeva, N. A. Semykina

Tver State University
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Abstract: The optimal control of an epidemic disease in n social groups with allowance for an incubation period is considered. The control is implemented through vaccination and quarantine. Models described by integro-differential and delay differential equations are compared. The dependence of an optimal solution on the parameters of the problem is analyzed.
Key words: delay differential equations, optimal control, spread of disease.
Received: 27.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: E. Andreeva, N. A. Semykina, “Optimal control of the spread of an infectious disease with allowance for an incubation period”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1174–1180; Comput. Math. Math. Phys., 45:7 (2005), 1133–1139
Citation in format AMSBIB
\Bibitem{AndSem05}
\by E.~Andreeva, N.~A.~Semykina
\paper Optimal control of the spread of an infectious disease with allowance for an incubation period
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 7
\pages 1174--1180
\mathnet{http://mi.mathnet.ru/zvmmf622}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2188409}
\zmath{https://zbmath.org/?q=an:1073.45510}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 7
\pages 1133--1139
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  • https://www.mathnet.ru/eng/zvmmf/v45/i7/p1174
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :194
    References:46
    First page:1
     
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