grazing_ode


grazing_ode, a Python 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 GNU LGPL license.

Languages:

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

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Reference:

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

Source Code:


Last revised on 09 June 2021.