Selected article for: "epidemic development and SIR model"
Author: Juri Dimaschko; Victor Podolsky
Title: VIRAL MUTATIONS AS A POSSIBLE MECHANISM OF HIDDEN IMMUNIZATION AND CONTAINMENT OF A PANDEMIA
  • Document date: 2020_4_14
    • ID: fukn227t_14
    Snippet: The model parameter β characterizes the rate of transmission of the virus, and γ the rate of recovery and thereby the acquisition of immunity. The SIR model keeps the sum S(t) + I(t) + R(t) = 1 constant, as it should be. Point S = 1, I = R = 0 corresponds to a state with no infected. Small deviations from it develop in time according to the law ∝ exp [(β − γ) t]. The emergence of the epidemic and its further development is controlled in t.....
    Document: The model parameter β characterizes the rate of transmission of the virus, and γ the rate of recovery and thereby the acquisition of immunity. The SIR model keeps the sum S(t) + I(t) + R(t) = 1 constant, as it should be. Point S = 1, I = R = 0 corresponds to a state with no infected. Small deviations from it develop in time according to the law ∝ exp [(β − γ) t]. The emergence of the epidemic and its further development is controlled in this model by the only dimensionless parameter r = β/γ. At a high propagation speed of the virus , when r is more than one, the number of sick people starts to grow and the epidemic begins.

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