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Matematicheskoe modelirovanie, 2019, Volume 31, Number 3, Pages 109–123
DOI: https://doi.org/10.1134/S0234087919030080 (Mi mm4058) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen

A. N. Gerasimov

Sechenov University
Full-text PDF (345 kB) Citations (2)
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DOI: https://doi.org/10.1134/S0234087919030080
Abstract: The system of "parasite-host" with two different infectious agents with a full cross-protection, and one of the options may vary in other. this system corresponds to the epidemic process of pathogen infectious agent having antibiotic-persistent option. the character of the behavior of solutions was studied. it is proved that the main case is a unique non-trivial steady-state solution, which is a global attractor. for small deviations obtained exponential speed reduction ratio deviations morbidity two options.
Keywords: host-parasite system, mathematical models in epidemiology, epidemic process model, antibiotic-resistant variants of the pathogen.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-06947_а
Received: 14.09.2017
Revised: 09.01.2018
Accepted: 10.09.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 6, Pages 884–893
DOI: https://doi.org/10.1134/S2070048219060061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Gerasimov, “The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen”, Mat. Model., 31:3 (2019), 109–123; Math. Models Comput. Simul., 11:6 (2019), 884–893
Citation in format AMSBIB
\Bibitem{Ger19}
\by A.~N.~Gerasimov
\paper The dynamics of the epidemic process with antibiotic-resistant variant of the pathogen
\jour Mat. Model.
\yr 2019
\vol 31
\issue 3
\pages 109--123
\mathnet{http://mi.mathnet.ru/mm4058}
\crossref{https://doi.org/10.1134/S0234087919030080}
\elib{https://elibrary.ru/item.asp?id=37180441}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 6
\pages 884--893
\crossref{https://doi.org/10.1134/S2070048219060061}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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