pSizeAtGenSwitch1: Probability that n initial cases lead to an outbreak that...

In branchingprocess: Calculate Outbreak Probabilities for a Branching Process Model

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, with offspring distribution parameters switched after generation one

Description

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, with offspring distribution parameters switched after generation one

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(s)

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)

branchingprocess documentation built on June 8, 2025, 11:35 a.m.