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A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations

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  • Contreras, Sebastián
  • Villavicencio, H. Andrés
  • Medina-Ortiz, David
  • Biron-Lattes, Juan Pablo
  • Olivera-Nappa, Álvaro

Abstract

The outbreak and propagation of COVID-19 have posed a considerable challenge to modern society. In particular, the different restrictive actions taken by governments to prevent the spread of the virus have changed the way humans interact and conceive interaction. Due to geographical, behavioral, or economic factors, different sub-groups among a population are more (or less) likely to interact, and thus to spread/acquire the virus. In this work, we present a general multi-group SEIRA model for representing the spread of COVID-19 among a heterogeneous population and test it in a numerical case of study. By highlighting its applicability and the ease with which its general formulation can be adapted to particular studies, we expect our model to lead us to a better understanding of the evolution of this pandemic and to better public-health policies to control it.

Suggested Citation

  • Contreras, Sebastián & Villavicencio, H. Andrés & Medina-Ortiz, David & Biron-Lattes, Juan Pablo & Olivera-Nappa, Álvaro, 2020. "A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    • Handle: RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920303246
    DOI: 10.1016/j.chaos.2020.109925
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    References listed on IDEAS

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    1. Fanelli, Duccio & Piazza, Francesco, 2020. "Analysis and forecast of COVID-19 spreading in China, Italy and France," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
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    Cited by:

    1. Freire-Flores, Danton & Llanovarced-Kawles, Nyna & Sanchez-Daza, Anamaria & Olivera-Nappa, Álvaro, 2021. "On the heterogeneous spread of COVID-19 in Chile," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Matvey Pavlyutin & Marina Samoyavcheva & Rasul Kochkarov & Ekaterina Pleshakova & Sergey Korchagin & Timur Gataullin & Petr Nikitin & Mohiniso Hidirova, 2022. "COVID-19 Spread Forecasting, Mathematical Methods vs. Machine Learning, Moscow Case," Mathematics, MDPI, vol. 10(2), pages 1-19, January.
    3. Contreras, Sebastian & Oróstica, Karen Y. & Daza-Sanchez, Anamaria & Wagner, Joel & Dönges, Philipp & Medina-Ortiz, David & Jara, Matias & Verdugo, Ricardo & Conca, Carlos & Priesemann, Viola & Oliver, 2023. "Model-based assessment of sampling protocols for infectious disease genomic surveillance," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Castillo, Oscar & Melin, Patricia, 2020. "Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    5. Askar Akaev & Alexander I. Zvyagintsev & Askar Sarygulov & Tessaleno Devezas & Andrea Tick & Yuri Ichkitidze, 2022. "Growth Recovery and COVID-19 Pandemic Model: Comparative Analysis for Selected Emerging Economies," Mathematics, MDPI, vol. 10(19), pages 1-18, October.
    6. Contreras, Sebastián & Biron-Lattes, Juan Pablo & Villavicencio, H. Andrés & Medina-Ortiz, David & Llanovarced-Kawles, Nyna & Olivera-Nappa, Álvaro, 2020. "Statistically-based methodology for revealing real contagion trends and correcting delay-induced errors in the assessment of COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    7. Malki, Zohair & Atlam, El-Sayed & Hassanien, Aboul Ella & Dagnew, Guesh & Elhosseini, Mostafa A. & Gad, Ibrahim, 2020. "Association between weather data and COVID-19 pandemic predicting mortality rate: Machine learning approaches," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    8. Castillo, Oscar & Melin, Patricia, 2021. "A new fuzzy fractal control approach of non-linear dynamic systems: The case of controlling the COVID-19 pandemics," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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