SIR model for mosquito vectors (P 4.4).
Solves a simple SIR model for mosquito vectors.
time sequence for which output is wanted; the first value of times must be the initial time.
further arguments passed to ode function.
This is the R version of program 4.2 from page 123 of "Modeling Infectious Disease in humans and animals" by Keeling & Rohani.
list. The first element,
*$model, is the model function. The second, third and fourth elements are vectors (
*$time, respectively) containing the
time arguments of the function. The fifth element
*$results is a
data.frame with up to as many rows as elements in time. First column contains the time. Second, third and fourth columns contain the proportion of susceptibles, infectious and recovered.
Keeling, Matt J., and Pejman Rohani. Modeling infectious diseases in humans and animals. Princeton University Press, 2008. Modeling Infectious Diseases in Humans and Animals
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# Parameters and initial conditions. parameters <- c(muH = 5.5e-5, muM = 0.143, vH = 5.5e-2, vM = 1.443e3, betaHM = 0.5, betaMH = 0.8, gamma = 0.033, r = 0.5 / 1e3) initials <- c(XH = 1e3, XM = 1e4, YH = 1, YM = 1) # Solve and plot. sir.vector <- SIRVector(pars = parameters, init = initials, time = 0:1000) PlotMods(sir.vector)