Выходит 12 номеров в год
ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
Indexed in
On Conditions of Asymptotic Stability in SIR-Models of Mathematical Epidemiology
Краткое описание
SLIAR-model of epidemic of acute respiratory disease has been considered. There have been obtained the conditions of local stability of stationary state corresponding to the absence of disease. Consideration has been also given to the model of coexistence of two virus strains for which there are presented stability conditions for three stationary states. Stability conditions are expressed in terms of virus reproduction rates.
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Longini I.M., Halloran M.E., Nizan A., Yang Y., Containing pandemic influenza with antiviral agents.
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Andreychin M.A., Kopcha V.S., Problems of influenza A/H1N1: the past and the present.
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Martsenyuk V.P., Tsyapa N.V., Kashuba M.O., Information-statistical approach to modeling an infected disease spread with the example of ERD epidemic over the period of October–November 2009 in Ternopol province.
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Martsenyuk V.P., Tsyapa N.V., SIR-modeling of epidemic of acute respiratory diseases.
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Martsenyuk V.P., Tsyapa N.V., Kuchvara O.M., Andrushchak I.Ye., Compartment models for development of influenza epidemic considering preepidemic vaccination and antiviral treatment.
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Martsenyuk Vasyl, Augustynek Krzysztof, Urbas Andrzej, On qualitative analysis of the nonstationary delayed model of coexistence of two-strain virus: Stability, bifurcation, and transition to chaos, International Journal of Non-Linear Mechanics, 128, 2021. Crossref
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Марценюк В. П., Карпінські М. , Клос-Витковська А., Весельська О., Андрущак І. Є., Сверстюк А. С., Кучвара О. М., КОМП'ЮТЕРНЕ МОДЕЛЮВАННЯ СПІВІСНУВАННЯ ВІРУСНИХ ШТАМІВ: НЕПЕРЕДБАЧУВАНІСТЬ ЧЕРЕЗ НЕЛІНІЙНІ ЯВИЩА, Medical Informatics and Engineering, 1, 2020. Crossref
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Martsenyuk Vasyl, Bernas Marcin, Klos-Witkowska Aleksandra, Two-Strain COVID-19 Model Using Delayed Dynamic System and Big Data, IEEE Access, 9, 2021. Crossref