Susceptible Preinfectious Infectious Removed(SEIR model)

Overview


An SI model models just two variables

  • {% S(t) %} - is the number of susceptible individuals
  • {% I(t) %} - the number of infected individuals
  • {% E(t) %} - the number of Preinfectious individuals

Vynnycky

Basic Setup


{% S(t+1) = S(t) -\lambda_t S(t) %}
where {% \lambda_t %} is the risk that a susceptible individual contracts the disease and moves to the pre-infectious period.
{% E(t+1) = E(t) + \lambda_t S(t) - f E(t) %}
where {% E %} is the number of pre-infectious people, and r is the proportion of infectious individuals each period which become non-infectious.
{% I(t+1) = I(t) + f E(t) - r I(t) %}
{% R(t+1) = R(t) + r I(t) %}

Topics


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