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Modeling COVID-19 dynamic using a two-strain model with vaccination

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  • de León, Ugo Avila-Ponce
  • Avila-Vales, Eric
  • Huang, Kuan-lin

Abstract

Multiple strains of the SARS-CoV-2 have arisen and jointly influence the trajectory of the coronavirus disease (COVID-19) pandemic. However, current models rarely account for this multi-strain dynamics and their different transmission rate and response to vaccines. We propose a new mathematical model that accounts for two virus variants and the deployment of a vaccination program. To demonstrate utility, we applied the model to determine the control reproduction number (Rc) and the per day infection, death and recovery rates of each strain in the US pandemic. The model dynamics predicted the rise of the alpha variant and shed light on potential impact of the delta variant in 2021. We obtained the minimum percentage of fully vaccinated individuals to reduce the spread of the variants in combination with other intervention strategies to deaccelerate the rise of a multi-strain pandemic.

Suggested Citation

  • de León, Ugo Avila-Ponce & Avila-Vales, Eric & Huang, Kuan-lin, 2022. "Modeling COVID-19 dynamic using a two-strain model with vaccination," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
  • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001370
    DOI: 10.1016/j.chaos.2022.111927
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    References listed on IDEAS

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    1. Avila-Ponce de León, Ugo & Pérez, Ángel G.C. & Avila-Vales, Eric, 2020. "An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Ewen Callaway, 2021. "Delta coronavirus variant: scientists brace for impact," Nature, Nature, vol. 595(7865), pages 17-18, July.
    3. Edouard Mathieu & Hannah Ritchie & Esteban Ortiz-Ospina & Max Roser & Joe Hasell & Cameron Appel & Charlie Giattino & Lucas Rodés-Guirao, 2021. "A global database of COVID-19 vaccinations," Nature Human Behaviour, Nature, vol. 5(7), pages 947-953, July.
    4. Delphine Planas & David Veyer & Artem Baidaliuk & Isabelle Staropoli & Florence Guivel-Benhassine & Maaran Michael Rajah & Cyril Planchais & Françoise Porrot & Nicolas Robillard & Julien Puech & Matth, 2021. "Reduced sensitivity of SARS-CoV-2 variant Delta to antibody neutralization," Nature, Nature, vol. 596(7871), pages 276-280, August.
    5. Edilson F Arruda & Shyam S Das & Claudia M Dias & Dayse H Pastore, 2021. "Modelling and optimal control of multi strain epidemics, with application to COVID-19," PLOS ONE, Public Library of Science, vol. 16(9), pages 1-18, September.
    6. Pengfei Wang & Manoj S. Nair & Lihong Liu & Sho Iketani & Yang Luo & Yicheng Guo & Maple Wang & Jian Yu & Baoshan Zhang & Peter D. Kwong & Barney S. Graham & John R. Mascola & Jennifer Y. Chang & Mich, 2021. "Antibody resistance of SARS-CoV-2 variants B.1.351 and B.1.1.7," Nature, Nature, vol. 593(7857), pages 130-135, May.
    7. Timothy A. Bates & Hans C. Leier & Zoe L. Lyski & Savannah K. McBride & Felicity J. Coulter & Jules B. Weinstein & James R. Goodman & Zhengchun Lu & Sarah A. R. Siegel & Peter Sullivan & Matt Strnad &, 2021. "Neutralization of SARS-CoV-2 variants by convalescent and BNT162b2 vaccinated serum," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
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    Cited by:

    1. Chen, Jiaqi & Gu, Changgui & Ruan, Zhongyuan & Tang, Ming, 2023. "Competition of SARS-CoV-2 variants on the pandemic transmission dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Vashishth, Anil K. & Basaiti, Komal, 2024. "Modeling the effect of non-pharmaceutical measures and vaccination on the spread of two variants of COVID-19 in India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 139-168.

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