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Relevant Mathematical Modelling Efforts for Understanding COVID-19 Dynamics: An Educational Challenge

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Title: Relevant Mathematical Modelling Efforts for Understanding COVID-19 Dynamics: An Educational Challenge
Language: English
Authors: Meyer, J. F. C. A. (ORCID 0000-0001-8002-7075), Lima, M. (ORCID 0000-0002-8520-4306)
Source: ZDM: Mathematics Education. Feb 2023 55(1):49-63.
Availability: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Peer Reviewed: Y
Page Count: 15
Publication Date: 2023
Document Type: Journal Articles
Reports - Descriptive
Education Level: Higher Education
Postsecondary Education
Secondary Education
Descriptors: Mathematical Models, COVID-19, Pandemics, Equations (Mathematics), College Mathematics, Secondary School Mathematics, Computer Software, Health Behavior, Mathematics Instruction, Mathematics Education
DOI: 10.1007/s11858-022-01447-2
ISSN: 1863-9690
1863-9704
Abstract: The purpose of the work described in this paper is to emphasize the importance of using mathematical models and mathematical modelling in order to be able to understand and to learn possible behaviours in epidemic situations such as that of the COVID-19 pandemic, besides suggesting modelling techniques with which to evaluate certain sanitary decisions and policies which do, in fact, affect society as a whole. The mathematical tools that are used derive from nonlinear systems of difference equations (possibly viable at a high school level, using spreadsheets or adequate software) as well as nonlinear systems of ordinary differential equations (therefore using mathematical tools and software well within the reach of undergraduate students of many courses). This purpose is accomplished by motivating students and learners to study existing SIR-type models and modifying them in order to have a fully understandable translation of dynamics for infectious diseases such as COVID-19 in several different realistic scenarios, that is to say, situations that consider social distancing policies, widespread vaccination programmes, as well as possible and even probable results when in the presence of negationist postures and attitudes. Several modelling choices referring to real-life situations are shown and explored. These models are analysed and discussed, implicitly proposing similar attitudes and evaluations in learning environments. Conclusions are drawn, stimulating further work using the described mathematical tools and resources.
Abstractor: As Provided
Entry Date: 2023
Accession Number: EJ1367536
Database: ERIC
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  Data: Relevant Mathematical Modelling Efforts for Understanding COVID-19 Dynamics: An Educational Challenge
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  Data: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
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  Data: 10.1007/s11858-022-01447-2
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  Data: 1863-9690<br />1863-9704
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  Data: The purpose of the work described in this paper is to emphasize the importance of using mathematical models and mathematical modelling in order to be able to understand and to learn possible behaviours in epidemic situations such as that of the COVID-19 pandemic, besides suggesting modelling techniques with which to evaluate certain sanitary decisions and policies which do, in fact, affect society as a whole. The mathematical tools that are used derive from nonlinear systems of difference equations (possibly viable at a high school level, using spreadsheets or adequate software) as well as nonlinear systems of ordinary differential equations (therefore using mathematical tools and software well within the reach of undergraduate students of many courses). This purpose is accomplished by motivating students and learners to study existing SIR-type models and modifying them in order to have a fully understandable translation of dynamics for infectious diseases such as COVID-19 in several different realistic scenarios, that is to say, situations that consider social distancing policies, widespread vaccination programmes, as well as possible and even probable results when in the presence of negationist postures and attitudes. Several modelling choices referring to real-life situations are shown and explored. These models are analysed and discussed, implicitly proposing similar attitudes and evaluations in learning environments. Conclusions are drawn, stimulating further work using the described mathematical tools and resources.
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