Written by: Johannes Borgqvist
Date: 2022-07-12
Welcome to the github-repositry separable_phase_plane_symmetries! This project is entirely written in Python meaning that it is open-source, and our aim is that the results in the article entitled ``Phase-plane symmetries of separable models in biology'' (Reference to future article) should be reproducable. Let's describe the project and all the relevant packages!
This project concerns the symmetries of phase plane models that are commonly occuring in biology. Specifically, we consider the symmetries of the (u,v)-phase plane ODE of separable models. In particular we consider four different models, namely the Lotka-Volterra model, the SIR model, the linear model and the biological oscillator whose symmetries are illustrated below.
This repositry contains the python-scripts necessary for generating the above figure, and in particular these figures are generated by running the script "plot_phase_plane_symmetries.py" in the Code subfolder.
The main Python packages are the following:
- scipy version:1.6.2,
- numpy version: 1.20.1,
- matplotlib version: 3.3.4.
These scripts have been developed on a computer with the OS Ubuntu 20.04. The version of Python that has been used is 3.8.8.