sir_basic_model {serosv} | R Documentation |
Basic SIR model
Description
Refers to section 3.1.3.
Usage
sir_basic_model(times, state, parameters)
Arguments
times |
time sequence. |
state |
the initial state of the model. |
parameters |
the parameters of the model. |
Details
In state
:
- S
: number of susceptible
- I
: number of infected
- R
: number of recovered
In parameters
:
- alpha
: disease-related death rate
- mu
: natural death rate (= 1/life expectancy)
- beta
: transmission rate
- nu
: recovery rate
- p
: percent of population vaccinated at birth
Value
list of class sir_basic_model with the following items
parameters |
list of parameters used for fitting the model |
output |
matrix of population for each compartment over time |
Examples
state <- c(S=4999, I=1, R=0)
parameters <- c(
mu=1/75, # 1 divided by life expectancy (75 years old)
alpha=0, # no disease-related death
beta=0.0005, # transmission rate
nu=1, # 1 year for infected to recover
p=0 # no vaccination at birth
)
times <- seq(0, 250, by=0.1)
model <- sir_basic_model(times, state, parameters)
model
[Package serosv version 1.1.0 Index]