Stuctural analysis of a controlled compartmental model of disease propagation

Dmitry Gromov

doi:10.23919/SICEISCS.2019.8758777

Stuctural analysis of a controlled compartmental model of disease propagation

Dmitry Gromov^*

^*Corresponding author for this work

St. Petersburg State University

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

Abstract

In this paper, we formally define a class of controlled compartmental models of disease propagation and analyze their properties. We use a modification of the SI epidemic model with two infection stages and two controls to illustrate our findings. In particular, we compare the efficiency of two controls and formulate conditions for a control to reduce the basic reproduction number R₀ below 1.

Original language	English
Title of host publication	Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	33-38
Number of pages	6
ISBN (Electronic)	9784907764623
DOIs	https://doi.org/10.23919/SICEISCS.2019.8758777
Publication status	Published - Mar 2019
Externally published	Yes
Event	2019 SICE International Symposium on Control Systems, SICE ISCS 2019 - Kumamoto, Japan Duration: 7 Mar 2019 → 9 Mar 2019

Publication series

Name	Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019

Conference

Conference	2019 SICE International Symposium on Control Systems, SICE ISCS 2019
Country/Territory	Japan
City	Kumamoto
Period	7/03/19 → 9/03/19

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Basic reproduction number
Compartmental models
Mathematical epidemiology
Population balance models
Structural analysis

Access to Document

10.23919/SICEISCS.2019.8758777

Cite this

Gromov, D. (2019). Stuctural analysis of a controlled compartmental model of disease propagation. In Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019 (pp. 33-38). Article 8758777 (Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/SICEISCS.2019.8758777

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title = "Stuctural analysis of a controlled compartmental model of disease propagation",

abstract = "In this paper, we formally define a class of controlled compartmental models of disease propagation and analyze their properties. We use a modification of the SI epidemic model with two infection stages and two controls to illustrate our findings. In particular, we compare the efficiency of two controls and formulate conditions for a control to reduce the basic reproduction number R0 below 1.",

keywords = "Basic reproduction number, Compartmental models, Mathematical epidemiology, Population balance models, Structural analysis",

author = "Dmitry Gromov",

note = "Publisher Copyright: {\textcopyright} 2019 The Society of Instrument and Control Engineers - SICE.; 2019 SICE International Symposium on Control Systems, SICE ISCS 2019 ; Conference date: 07-03-2019 Through 09-03-2019",

year = "2019",

month = mar,

doi = "10.23919/SICEISCS.2019.8758777",

language = "English",

series = "Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "33--38",

booktitle = "Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019",

address = "United States",

}

Gromov, D 2019, Stuctural analysis of a controlled compartmental model of disease propagation. in Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019., 8758777, Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019, Institute of Electrical and Electronics Engineers Inc., pp. 33-38, 2019 SICE International Symposium on Control Systems, SICE ISCS 2019, Kumamoto, Japan, 7/03/19. https://doi.org/10.23919/SICEISCS.2019.8758777

Stuctural analysis of a controlled compartmental model of disease propagation. / Gromov, Dmitry.
Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 33-38 8758777 (Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

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AB - In this paper, we formally define a class of controlled compartmental models of disease propagation and analyze their properties. We use a modification of the SI epidemic model with two infection stages and two controls to illustrate our findings. In particular, we compare the efficiency of two controls and formulate conditions for a control to reduce the basic reproduction number R0 below 1.

KW - Basic reproduction number

KW - Compartmental models

KW - Mathematical epidemiology

KW - Population balance models

KW - Structural analysis

UR - https://www.scopus.com/pages/publications/85069790365

U2 - 10.23919/SICEISCS.2019.8758777

DO - 10.23919/SICEISCS.2019.8758777

M3 - Conference paper

AN - SCOPUS:85069790365

T3 - Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019

SP - 33

EP - 38

BT - Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 SICE International Symposium on Control Systems, SICE ISCS 2019

Y2 - 7 March 2019 through 9 March 2019

ER -

Gromov D. Stuctural analysis of a controlled compartmental model of disease propagation. In Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 33-38. 8758777. (Proceedings of 2019 SICE International Symposium on Control Systems, SICE ISCS 2019). doi: 10.23919/SICEISCS.2019.8758777

Stuctural analysis of a controlled compartmental model of disease propagation

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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