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Box models

Individual based models

Differential equations averaging over the source population

\frac{dS}{d t} = - \beta S I

Susceptible

Infected

Follow individuals in the population

S
I
R

Introduce regional differences

As opposed to box models, can simulate the effect of interventions

(20-th century spanish flu)

(2000's influenza)

Examples: Imperial College (UK),  Flute (US)

Individual based models

  • Infection transmitted through social interactions
  • Interactions take place in social groupings:                       household / school / work place / wider community
  • Interactions take place in pre-defined daily timesteps of fixed duration and strength
  • Infection transmitted probabilistically

A COVID-19 model of the 2020's

  • Modular: Parameters changed easily, can be extracted from different distributions A tool for epidemiologists
  • Allow time evolution of parameters (infectionsness evolution)
  • Most important is mixing different scales and age groups: Realistic people that does realistic things
  • Include uncertainties (e.g. combining data from different countries)
  • All written in Python, by O(10) people

Individual based models can focus on how to get us out of lockdown!

  • Test, track and trace (with a certain accuracy)
  • Building closures
  • Individual's complacency
  • How hospitals manage their occupation and the availability of ICU beds

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By carol cuesta

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