lotkaVolterra

The value of , the independent variable, to evaluate the derivative
at. Should be a single number.

The values of and 
, the dependent
variables, to evaluate the derivative at. Should be a vector of length two.

The values of the parameters of the system. Should be a vector
with parameters specified in the following order: , , , .

parameters

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

Performs a qualitative analysis
of one and two dimensional autonomous ODE systems, using phase
plane methods. Programs are available to identify and classify
equilibrium points, plot the direction field, and plot trajectories
for multiple initial conditions. In the one dimensional case, a
program is also available to plot the phase portrait. Whilst in the
two dimensional case, programs are additionally available to plot
nullclines and stable/unstable manifolds of saddle points. Many
example systems are provided for the user.

lotkaVolterra: The Lotka Volterra Model

Description

Usage

Arguments

Value

Details

See Also