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 MIT license

Languages:

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

Related Data and codes:

python_ode, Python codes which sets up various systems of 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_ode.py, the source code.
• grazing_ode.sh, runs all the tests.
• grazing_ode.txt, the output file.

• grazing_solve_ivp_plot.png, a plot of the solution.
• grazing_solve_ivp_phase.png, a phase plot.