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Chapter 8 SIR Models

Chapter 8 SIR Models. So=9998 Io=2 Ro=0 duration of Infection= 2 days Recoveries=(Infected Population)/(duration of infection) Can use summer for Affected population. Recoveries per day =Infected population / infection duration. Infectivity (rate)=0.25 per contact

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Chapter 8 SIR Models

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  1. Chapter 8SIR Models

  2. So=9998 Io=2 Ro=0 duration of Infection= 2 days Recoveries=(Infected Population)/(duration of infection) Can use summer for Affected population

  3. Recoveries per day =Infected population / infection duration Infectivity (rate)=0.25 per contact Contacts per day=6 per infected person Total contact per day=6 * Infected Population

  4. Sensitivity Analysis • Contact number = (infectivity) (contacts per day) (infection duration) Sometimes referred to at Ro the reproductivity number (The number of new infections) / (a single infected person) R>1  epedemic R<1 disease dies out

  5. Sensitivity run Infectivity=1-50% 2-25% 3-12.5%

  6. Sensitivity run Infection duration = 1-4 days2-2 days3-1 day

  7. Policy analysis • What can we do??

  8. 1918 influenza pandemic 50 to 100 million died worldwide

  9. 1918 Influenza: the Mother of All Pandemics Jeffery K. Taubenberger* and David M. Morens Emerging Infectious Diseases • www.cdc.gov/eid Vol. 12, No. 1, January 2006

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