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Swedish Institute for Infectious Disease Control, Karolinska Institutet, Stockholm University Martin Camitz. A stochastic model of a moderately contagious disease 1 in Sweden and the effect of restricting travel as a control strategy. 1 Read SARS. A stochastic model etc…. About the model
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Swedish Institute for Infectious Disease Control, Karolinska Institutet, Stockholm University Martin Camitz
A stochastic model of a moderately contagious disease1 in Sweden and the effect of restricting travel as a control strategy 1Read SARS
A stochastic model etc… • About the model • Hufnagel et al’s model1 • Results 1Hufnagel, L., D. Brockmann, and T. Geisel, Forecast and control of epidemics in a globalized world. Proceedings of the National Academy of Sciences of the United States of America, 2004. 101(42): p. 15124-15129.
What happens? When does this happen? I I I R Stochasticitics… what? +
L S I R SLIR-model 3 events etc… ×289 • Number of infectious • Infectiousness • Incubation time • Recovery time
L S I R in Solna SLIR-model 3 events • Number of infectious • Infectiousness • Incubation time • Recovery time in Solna • Infectious in other municipalities • Travel intensity
L S I R Intensities L Q I R Q Q • Number of infectious • Infectiousness • Incubation time • Recovery time in Solna • Infectious in other municipalities • Travel intensity
I Q 1. Pick an event Stockholm L R Q Q 2. Pick a time step Dt Kalmar L I R Q Q Q Solna L I Q Q 3. Update intensities 4. Repeat from 1.
Much later… • 1000 runs • 60 days • Average it all out
Two questions • What happens if we restrict travel? • Say longer journeys than 50 km or 20 km no longer permitted. • What if traveling doesn’t spread SARS as much as we thought?
Fiddling with inter-municipal infectiousness • Things that probably affect g • Total travel intensity • Medium of travel • Type of transmission • Does it matter?
Results • It works! • Travel restrictions slow the spread • Lower incidence after 60 days • Globally and locally • Comparatative results independent of g