Probability that n initial cases lead to an outbreak that lasts at least g generations of transmission AND has exactly j total cases after generation g

Probability that n initial cases lead to an outbreak that lasts at least g generations of transmission AND has exactly j total cases after generation g

Usage

pSizeAtGenSwitch1(g, n, j, R0, k0, Rc, kc)

Arguments

g

Number of generations of transmission

n

Number of initial cases

j

Total size of outbreak after generation g

R0

Basic reproduction number: mean of negative binomial offspring distribution from generation one

k0

Dispersion parameter of negative binomial offspring distribution from generation one

Rc

Control reproduction number: mean of negative binomial offspring distribution from generation two plus

kc

Dispersion parameter of negative binomial offspring distribution from generation two plus

Value

The probability of the given outbreak size at the given transmission generation

Author

Damon Toth

Examples

#Probability that 10 initial cases leads to an outbreak lasting at least
# 3 transmission generations and is of exact size 30 after 3 generations  
pSizeAtGenSwitch1(g=3,n=10,j=30,R0=2,k0=0.5,Rc=0.5,kc=1)
#> [1] 0.01874133