Selected article for: "early outbreak and exponential rate"

Author: Brydon Eastman; Cameron Meaney; Michelle Przedborski; Mohammad Kohandel
Title: Mathematical modeling of COVID-19 containment strategies with considerations for limited medical resources
  • Document date: 2020_4_22
  • ID: 51g3vhcx_67
    Snippet: Hence E(t) and I(t) behave asymptotically exponentially around the disease free equilibrium with exponential rate given by λ. Thus if λ > 0 an outbreak occurs and if λ < 0 an outbreak does not occur. Since epidemic infections initially grow exponentially this λ can be estimated from the slope of the log-plot of infectious individuals early in an epidemic outbreak. Hence, if we can independently estimate γ, δ, and α we can use this estimate.....
    Document: Hence E(t) and I(t) behave asymptotically exponentially around the disease free equilibrium with exponential rate given by λ. Thus if λ > 0 an outbreak occurs and if λ < 0 an outbreak does not occur. Since epidemic infections initially grow exponentially this λ can be estimated from the slope of the log-plot of infectious individuals early in an epidemic outbreak. Hence, if we can independently estimate γ, δ, and α we can use this estimate of λ to acquire an estimate of β according to the formula

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