SIR+A mathematical model for evaluating and predicting 2016–2017 ARVI-influenza incidence by using on the Moscow territory
- Authors: Kontarov N.A.1,2, Arkharova G.V.1, Grishunina Y.B.3, Grishunina S.A.3,4, Yuminova N.V.2
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Affiliations:
- I.M. Sechenov First Moscow State Medical University
- I.I. Mechnikov Research Institute of Vaccines and Sera
- A.N. Tikhonov Moscow Institute of Electronics and Mathematics, National Research University “Higher School of Economics”
- Lomonosov Moscow State University
- Issue: Vol 9, No 3-4 (2019)
- Pages: 583-588
- Section: SHORT COMMUNICATIONS
- Submitted: 06.03.2019
- Accepted: 28.05.2019
- Published: 15.11.2019
- URL: https://iimmun.ru/iimm/article/view/1159
- DOI: https://doi.org/10.15789/2220-7619-2019-3-4-583-588
- ID: 1159
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About the authors
N. A. Kontarov
I.M. Sechenov First Moscow State Medical University;I.I. Mechnikov Research Institute of Vaccines and Sera
Author for correspondence.
Email: kontarov@mail.ru
PhD (Biology), Аssociate Professor, Department of Medical and Biological Physics;
Senior Researcher, Laboratory of Childhood Viral Infections,
105064, Moscow, Small Kazenny Lane, 5a
Russian FederationG. V. Arkharova
I.M. Sechenov First Moscow State Medical University
Email: fake@neicon.ru
PhD (Biology), Аssociate Professor, Department of Medical and Biological Physics,
Moscow
Russian FederationYu. B. Grishunina
A.N. Tikhonov Moscow Institute of Electronics and Mathematics, National Research University “Higher School of Economics”
Email: fake@neicon.ru
Senior Lecturer, Department of Applied Mathematics,
Moscow
Russian FederationS. A. Grishunina
A.N. Tikhonov Moscow Institute of Electronics and Mathematics, National Research University “Higher School of Economics”;Lomonosov Moscow State University
Email: fake@neicon.ru
Assistant Professor, Department of Applied Mathematics;
PhD Student, Department of Probability Theory, Faculty of Mechanics and Mathematics,
Moscow
Russian FederationN. V. Yuminova
I.I. Mechnikov Research Institute of Vaccines and Sera
Email: fake@neicon.ru
PhD, MD (Biology), Professor, Deputy Director for Science, Head of the Laboratory of Childhood Viral Infections,
Moscow
Russian FederationReferences
- Бароян О.В., Рвачев Л.А., Иванников Ю.Г. Моделирование и прогнозирование эпидемий гриппа для территории СССР. М.: Медицина, 1977. 546 с.
- Бейли Н. Математика в биологии и медицине. Москва: Мир, 1970. 326 с.
- Economou A., Lopez-Herrero M.J. The deterministic SIS epidemic model in a Markovian random environment. J. Math. Biol., 2016, vol. 73, no. 1, pp. 91–121. doi: 10.1007/s00285-015-0943-7
- Pellis L, House T, Keeling M.J. Exact and approximate moment closures for non-Markovian network epidemics. J. Theor. Biol., 2015, vol. 382, pp. 160–177. doi: 10.1016/j.jtbi.2015.04.039
- Rebuli N.P., Bean N.G., Ross J.V. Hybrid Markov chain models of S-I-R disease dynamics. J. Math. Biol., 2017, vol. 75, no. 3, pp. 521–541. doi: 10.1007/s00285-016-1085-2