# infection_age_process: Infection process for age-structured models In individual: Framework for Specifying and Simulating Individual Based Models

## Description

Simulates infection for age-structured models, where individuals contact each other at a rate given by some mixing (contact) matrix. The force of infection on susceptibles in a given age class is computed as:

λ_{i} = p ∑\limits_{j} C_{i,j} ≤ft( \frac{I_{j}}{N_{j}} \right)

Where C is the matrix of contact rates, p is the probability of infection per contact. The per-capita probability of infection for susceptible individuals is then:

1 - e^{-λ_{i} Δ t}

.

## Usage

  1 2 3 4 5 6 7 8 9 10 11 infection_age_process( state, susceptible, exposed, infectious, age, age_bins, p, dt, mixing ) 

## Arguments

 state a CategoricalVariable object. susceptible a string representing the susceptible state (usually "S"). exposed a string representing the state new infections go to (usually "E" or "I"). infectious a string representing the infected and infectious state (usually "I"). age a IntegerVariable giving the age of each individual. age_bins the total number of age bins (groups). p the probability of infection given a contact. dt the size of the time step (in units relative to the contact rates in mixing). mixing a mixing (contact) matrix between age groups.

## Value

a function which can be passed as a process to simulation_loop.

individual documentation built on Oct. 25, 2021, 9:09 a.m.