predator_prey_ode_period

predator_prey_ode, a Python code which sets up and solves a system of ordinary differential equations (ODE) for a Lotka-Volterra predator prey model. The computation involves the Lambert W function.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

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

Related Data and Programs:

predator_prey_ode, a Python code which sets up and solves a system of ordinary differential equations (ODE) for a Lotka-Volterra predator prey model.

vanderpol_ode_period, a Python code which sets up and solves the ordinary differential equations (ODE) that define a van der Pol oscillator in order to estimate the period of the limit cycle.

References:

1. John D Cook,
   Predator-Prey Period,
   https://www.johndcook.com/blog/2021/07/14/predator-prey-period/
   Posted 14 July 2021
2. Shagi-Di Shih,
   The period of a Lotka-Volterra System,
   Taiwanese Journal of Mathematics,
   Volume 1, Number 4, December 1997, pages 451-470.
3. Joerg Waldvogel,
   The Period in the Volterra-Lotka Predator-Prey Model,
   SIAM Journal on Numerical Analysis,
   Volume 20, Number 6, pages 1264-1272, December 1983.

Source Code:

• predator_prey_ode_period.py, the source code.
• predator_prey_ode_period.sh, runs all the tests.
• predator_prey_ode_period.txt, the output file.