Susceptible-Infected-Recovered Model with Simple Demographics and Vaccination

SIR_vaccination_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_u_0 <- 989
I_u_0 <- 1
R_u_0 <- 0
S_v_0 <- 0
I_v_0 <- 0
R_v_0 <- 0
beta <- 3
tau <- 2
mu <- 1/81
alpha <- 0.8
lambda <- 0.7

parameters <- c(beta = beta, tau = tau, mu = mu,
                alpha = 0.8, lambda = 0.7)
inits <- c(S_u = S_u_0, I_u = I_u_0, R_u_0 = R_u_0,
           S_v = S_v_0, I_v = I_v_0, R_v_0 = R_v_0)

SIR_vaccination_demographics_ode(1, inits, parameters)
#> [[1]]
#>        S_u        S_u        I_u        S_v        S_v        I_v 
#> -12.762402   0.984624   2.000000   9.777778   0.000000   0.000000 
#>