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Licensed Unlicensed Requires Authentication Published by De Gruyter August 9, 2021

Pandemic management by a spatio–temporal mathematical model

  • Teddy Lazebnik ORCID logo EMAIL logo , Svetlana Bunimovich-Mendrazitsky ORCID logo and Labib Shami

Abstract

Many researchers have tried to predict the impact of the COVID-19 outbreak on morbidity, in order to help policy-makers find optimal isolation policies. However, despite the development and use of many models and sophisticated tools, these forecasting attempts have largely failed. We present a model that considers the severity of the disease and the heterogeneity of contacts between the population in complex space–time dynamics. Using mathematical and computational methods, the applied tool was developed to analyze and manage the COVID-19 pandemic (from an epidemiological point of view), with a particular focus on population heterogeneity in terms of age, susceptibility, and symptom severity. We show improved strategies to prevent an epidemic outbreak. We evaluated the model in three countries, obtaining an average mean square error of 0.067 over a full month of the basic reproduction number (R 0). The goal of this study is to create a theoretical framework for crisis management that integrates accumulated epidemiological considerations. An applied result is an open-source program for predicting the outcome of an isolation strategy for future researchers and developers who can use and extend our model.

MSC 2010: 34-04; 65-05; 68U20

Corresponding author: Teddy Lazebnik, Department of Mathematics, Ariel University, Ariel, Israel, E-mail:

A.O. Teddy Lazebnik contributed equally to this work with A.T. Svetlana Bunimovich-Mendrazitsky.


  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/ijnsns-2021-0063).


Received: 2021-02-14
Revised: 2021-06-08
Accepted: 2021-07-20
Published Online: 2021-08-09

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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