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.

Licensing:

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

Languages:

predator_prey_ode is available in a MATLAB 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:


Last revised on 20 December 2021.