An Epidemic Model with Time-Distributed Recovery and Death Rates

A compartmental epidemiological model with distributed recovery and death rates is proposed. In some particular cases, the model can be reduced to the conventional SIR model. However, in general, the dynamics of epidemic progression in this model is different. Distributed recovery and death rates are evaluated from COVID-19 data. The model is validated by the epidemiological data for different countries, and it shows better agreement with the data than the SIR model. The time-dependent disease transmission rate is estimated. © 2022, The Author(s), under exclusive licence to Society for Mathematical Biology.

Authors
Ghosh S.1 , Volpert V. 2, 3 , Banerjee M.1
Publisher
Springer
Number of issue
8
Language
English
Status
Published
Number
78
Volume
84
Year
2022
Organizations
  • 1 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Uttar Pradesh, Kanpur, 208016, India
  • 2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Effective infection rate; Epidemic model; SIR model; Variable recovery rate
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