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APPLICATION OF SIRS AND SEIR-HCD MODELS IN EPIDEMIC MODELING

https://doi.org/10.54596/2309-6977-2022-1-18-22

Abstract

In this article, mathematical modeling is considered, using the example of compartment models that were proposed in the 1920s by Kermak and McKendrick. In particular, the SIRS and SEIR-HCD models, which are basic for other more complex models, are given as an example. The features of these models are that they are based on a system of differential equations. The article lists both the advantages of these models and the disadvantages. As a result, we presented a system of equations.

About the Authors

B. O. Zhumartova
KRU named after A. Baitursynov
Kazakhstan

Kostanai



R. S. Ysmagul
KRU named after A. Baitursynov
Kazakhstan

Kostanai



References

1. Zuev V.S., Shishmakova N.S., Petrova I.S. Stohasticheskaya i determinirovannaya modeli rasprostraneniya epidemij tipa SIRS.http://dnevniknauki.ru/images/publications/2020/1/physics/Zuev_Shishmakova_Petrova.pdf. 2020g.

2. Vinnickij, E., Uajt R. Vvedenie v modelirovanie infekcionnyh zabolevanij: uchebnoe posobie. – Oksford: Izd-vo Oksfordskogo universiteta, 2010g. – 369 s.

3. Leonenko V.N. MATEMATICHESKAYA EPIDEMIOLOGIYA. Uchebno–metodicheskoe posobie po vypolneniyu laboratornyh rabot. Universitet ITMO. Sankt–Peterburg, 2018g. – C.39


Review

For citations:


Zhumartova B.O., Ysmagul R.S. APPLICATION OF SIRS AND SEIR-HCD MODELS IN EPIDEMIC MODELING. Vestnik of M. Kozybayev North Kazakhstan University. 2022;(1 (53)):18-22. (In Russ.) https://doi.org/10.54596/2309-6977-2022-1-18-22

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ISSN 2958-003X (Print)
ISSN 2958-0048 (Online)