The derivative function of the SIR epidemic model, an example of a two-dimensional autonomous ODE system.
SIR(t, y, parameters)Returns a list containing the values of the two
derivatives at
(t, x, y).
The value of t, the independent
variable, to evaluate the derivative at. Should be a
numeric vector of
length one.
The values of x and
y, the dependent variables, to evaluate
the derivative at. Should be a numeric
vector of length two.
The values of the parameters of the system. Should be a
numeric vector with parameters
specified in the following order:
β,
ν.
Michael J Grayling
SIR evaluates the derivative of the following ODE at the point
(t, x, y):
dx/dt = -βxy, dy/dt = βxy - νy.
Its format is designed to be compatible with ode from
the deSolve package.
ode