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