competition: The species competition model
In mjg211/phaseR: Phase Plane Analysis of One- And Two-Dimensional Autonomous ODE Systems

competition

R Documentation

The species competition model

The derivative function of the species competition model, an example of a two-dimensional autonomous ODE system.

competition(t, y, parameters)

`t`	The value of t, the independent variable, to evaluate the derivative at. Should be a `numeric` `vector` of `length` one.
`y`	The values of x and y, the dependent variables, to evaluate the derivative at. Should be a `numeric` `vector` of `length` one.
`parameters`	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.

competition evaluates the derivative of the following coupled ODE system at the point (t, x, y):

dx/dt = r₁x(K₁ - x - α₁₂y)/K₁, dy/dt = r₂y(K₂ - y - α₂₁x)/K₂.

Its format is designed to be compatible with ode from the deSolve package.

Returns a list containing the values of the two derivatives at (t, x, y).

Michael J Grayling