grazing_ode

grazing_ode, a MATLAB code which sets up and solves a pair of ordinary differential equations (ODE) that model the populations of an edible plant, and the herbivore that grazes on it.

In some ways, this problem recalls the predator-prey or Lotka-Volterra ODE, but in this case, there is a stable attracting solution, and strictly positive starting points are gradually attracted to it.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

grazing_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

grazing_ode_test

matlab_ode, MATLAB codes which set up various ordinary differential equations (ODE).

Reference:

1. Michael Thompson, Bruce Stewart,
   Nonlinear Dynamics and Chaos,
   Second Edition,
   Wiley, 2002,
   ISBN: 0-471-87645-3,
   LC: QA871.T47.

Source Code:

• grazing_deriv.m, defines the right hand side of the ODE.
• grazing_parameters.m, returns parameter values of the ODE.