A Kinematic Approach to the Classical SIR Model

Given the risk and impact of infectious-contagious X diseases, which are expected to increase in frequency and unpredictability due to climate change and anthropogenic penetration of the wilderness, it is crucial to advance descriptions and explanations that improve the understanding and applicability of current theories. An inferential approach is to find analogies with better-studied contexts from which new questions and hypotheses can be raised through their concepts, propositions, and methods. Kinematics emerges as a promising analog field in physics by interpreting states’ changes in a contagion process as a movement. Consequently, this work explores, for a contagion process, the representations and conceptual equivalents for position, displacement, velocity, momentum, and acceleration, introducing some metrics. It also discusses some epistemological aspects and proposes future perspectives.

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Publication Details

Journal
Axioms
Published
2024-10-16
DOI
https://doi.org/10.3390/axioms13100718
Citations
2
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
0.79
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article

A Kinematic Approach to the Classical SIR Model

Juan Pablo Gutiérrez-Jara, Katia Vogt-Geisse, Fernando Córdova‐Lepe
2 citations
Axioms
COVID-19 epidemiological studies
0.79
article

A Kinematic Approach to the Classical SIR Model

Juan Pablo Gutiérrez-Jara, Katia Vogt-Geisse, Fernando Córdova‐Lepe
article en
2 citations

Abstract

Given the risk and impact of infectious-contagious X diseases, which are expected to increase in frequency and unpredictability due to climate change and anthropogenic penetration of the wilderness, it is crucial to advance descriptions and explanations that improve the understanding and applicability of current theories. An inferential approach is to find analogies with better-studied contexts from which new questions and hypotheses can be raised through their concepts, propositions, and methods. Kinematics emerges as a promising analog field in physics by interpreting states’ changes in a contagion process as a movement. Consequently, this work explores, for a contagion process, the representations and conceptual equivalents for position, displacement, velocity, momentum, and acceleration, introducing some metrics. It also discusses some epistemological aspects and proposes future perspectives.

AxiomsVol. 13(10)
Adolfo Ibáñez University (CL), Catholic University of the Maule (CL)
Climate action
Openalex Percentile: Top 30%
COVID-19 epidemiological studies
0.79
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