library(fitode)
SIR_mort_model <- odemodel(
name="SIR mortality rate",
model=list(
S ~ - beta * S * I/N,
I ~ beta * S * I/N - gamma * I,
R ~ gamma * I
),
observation=list(
mort ~ ols(mean = gamma * I)
),
initial=list(
S ~ N * (1 - i0),
I ~ N * i0,
R ~ 0
),
par=c("beta", "gamma", "N", "i0"),
link=c(i0="logit")
)
SIR_mort_start <- c(beta=0.8, gamma=0.4, N=6000, i0=0.001)
SIR_mort_fit <- fitode(
SIR_mort_model,
data=bombay,
start=SIR_mort_start,
tcol="week"
)
save(SIR_mort_fit, SIR_mort_start, SIR_mort_model,
file = "SIR_mort.rda", version = 2)
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