Susceptible-Exposed-Infected-Recovered Model with Simple Demographics

Susceptible-Exposed-Infected-Recovered Model with Simple Demographics

SEIR_demographics_ode(t, x, params)

Arguments

t

The timestep over which to calculate derivatives

x

A numeric vector of compartment populations.

params

A named vector of parameter values.

Value

A vector of derivatives

Examples

##Model Input
S_0 <- 989
E_0 <- 10
I_0 <- 1
R_0 <- 0
beta <- 3
gamma <-  1/2
tau <- 2
mu <- 1/81

parameters <- c(beta = beta, gamma = gamma, tau = tau, mu = mu)
inits <- c(S = S_0, E = E_0, I = I_0, R_0 = R_0)

SEIR_demographics_ode(1, inits, parameters)
#> [[1]]
#>         S         S         E         I 
#> -2.831198 -2.156457  2.987654  2.000000 
#>