The derivative function of the species competition model, an example of a two-dimensional autonomous ODE system.
competition(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
one.
The values of the parameters of the system. Should be a
numeric
vector
with parameters
specified in the following order:
r1,
K1,
α12,
r2,
K2,
α21.
Michael J Grayling
competition
evaluates the derivative of the following coupled ODE
system at the point (t, x, y):
Its format is designed to be compatible with ode
from
the deSolve
package.
ode