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Effect of Immunization Through Vaccination on Deterministic Models for Epidemic Spreading

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Abstract

We analyze the effect of immunization by vaccination on deterministic models for epidemic spreading. We use an approach to vaccination in which the number of individuals that acquire immunization by vaccination is considered to be a given function of time. For the susceptible–infected–susceptible model, if the fraction of individuals that in the long term have been vaccinated is larger than a certain value then the disease becomes extinct. For the susceptible–infected–removed model, the effect of vaccination is the flattening of the epidemic curve.

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Authors and Affiliations

  1. Institute of Physics, University of São Paulo, Rua do Matão, 1371, São Paulo, SP, 05508-090, Brazil

    Tânia Tomé & Mário J. de Oliveira

  2. Departamento de Física, Universidade Estadual de Feira de Santana, Feira de Santana, BA, 44036-900, Brazil

    Ana Tereza C. Silva

Authors
  1. Tânia Tomé
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  2. Ana Tereza C. Silva
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  3. Mário J. de Oliveira
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Correspondence to Mário J. de Oliveira.

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Tomé, T., Silva, A.T.C. & de Oliveira, M.J. Effect of Immunization Through Vaccination on Deterministic Models for Epidemic Spreading. Braz J Phys 51, 1853–1857 (2021). https://doi.org/10.1007/s13538-021-00985-6

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  • DOI: https://doi.org/10.1007/s13538-021-00985-6

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