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Title: A New Modifications of the SIR/SEIR Models with ”Intervention Polynomial Factor”. Methodological Aspects
Authors: Kyurkchiev, Nikolay
Kyurkchiev, Vesselin
Iliev, Anton
Rahnev, Asen
Keywords: Reaction Equations
Mass Action Kinetics
Kermack–McKendrick’s SIR Model
New SIR Model with ”Intervention Polynomial Factor” (SIR-IPF)
(SEIR-IPF) Model
Issue Date: 27-May-2021
Publisher: Academic Publications Ltd.
Citation: Kyurkchiev, N., Kyurkchiev, V., Iliev, A., Rahnev, A.. A New Modifications of the SIR/SEIR Models with ”Intervention Polynomial Factor”. Methodological Aspects. International Journal of Differential Equations and Applications, 20, 1, 2021, DOI: 10.12732/ijdea.v20i1.2, 15-30.
Series/Report no.: International Journal of Differential Equations and Applications;20(1)
Abstract: We develop a novel modification of the classic Kermack–McKendrick SIR (Susceptible–Infectious–Recovered) model. The new SIR model with ”intervention polynomial factor” (SIR-IPF) can be used successfully to model and play different scenarios for the infectious disease spread. A generalized ”reproduction number” is introduced. A similar modifications are proposed for the classic SEIR and G-SEIR models. The specialists working in the field of ”reaction-kinetic mechanisms” have the word. Numerical examples, illustrating our results are given using CAS Mathematica.
ISSN: 1311-2872
Appears in Collections:Q4

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