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gpDDE (version 0.8.2)

DSIRdata: Simulated dataset from a delay SIR model

Description

A simulated dataset from a delay SIR model specified as following: $$\dot{S} = \rho(t)-\beta I_{\tau}S\ \dot{I} = \beta I_{\tau}S-\gamma I$$ The parameters are set at: $\rho(t)=4000\times(\sin(t)+2)$, $\gamma = 5$, $\beta = 0.0012$, and $\tau = 0.5$. We simulated the numerical solution from time $t=0$ to $t=50$ and the process is then sampled regularly ten times per unit time. Independent normal observational noise with sd = 100 is added to the numerical solution.

Usage

DSIRdata

Arguments

format

A matrix of two columns. The first column is the observed state S and the second column is the observed state I.