LVCompGames: Lotka-Volterra Competition Games

In primer: Functions and Data for the Book, a Primer of Ecology with R

Description

A pedagogical tool for learning about isoclines and stable equilibria.

Usage

LVCompGames(Alpha = NULL, r1 = 0.1, r2 = 0.1, num = 20, time = 10, step = 1)

Arguments

Alpha	a 2 x 2 matrix of coefficients; if NULL, then a sensible random matrix will be generated - fun for games.
r1	the intrinsic rate of increase for species 1 (isocline – a solid line).
r2	the intrinsic rate of increase for species 2 (isocline – a dashed line).
num	the desired number of random starting points for trajectories.
time	the number of time steps for each trajectory.
step	the number of time steps for which the integration is estimated (has no effect on accuracy, merely the smoothness of the line).

Value

First generates a plot of isoclines and initial points; the user is then prompted to "Hit <return>" in the console to see the trajectories. These will indicate the rate and path the trajectories, demonstrating, among other things, whether the equilibrium is stable.

Author(s)

Hank Stevens <[e-mail]>

References

Lotka, A.J. (1956) Elements of Mathematical Biology. Dover Publications, Inc.

Stevens, M.H.H. (2009) A Primer of Ecology with R. Use R! Series. Springer.

See Also

lvcomp2, lvcompg, clogistic,

Examples

## LVCompGames() # Hit return in the console to see the trajectories.

primer documentation built on Jan. 7, 2021, 1:07 a.m.