Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case

  title={Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case},
  author={Reinhard Schlickeiser and Martin Kr{\"o}ger},
  journal={Journal of Physics A: Mathematical and Theoretical},
The earlier analytical analysis (part A) of the susceptible–infectious–recovered (SIR) epidemics model for a constant ratio k of infection to recovery rates is extended here to the semi-time case which is particularly appropriate for modeling the temporal evolution of later (than the first) pandemic waves when a greater population fraction from the first wave has been infected. In the semi-time case the SIR model does not describe the quantities in the past; instead they only hold for times… 

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