bachirelkhadir/covid-19

Jupyter Notebook

Introduction

We study the following vector field modeling the transmission of COVID-19.

$f(S,E,I_r,I_u) = \begin{pmatrix} \beta \frac S N I_r - \mu \beta \frac S N I_u\ \beta \frac S N I_r + \mu \beta \frac S N I_u - \frac E Z\ \alpha \frac E Z - \frac {I_r} D\ (1-\alpha) \frac E Z - \frac {I_u} D \end{pmatrix}$

$\beta = 1.0, \mu=.8, \alpha=.1$ $D = Z = 4 \text{days}$ $N = 1$

To run the code

Make sure you already have Julia installed on your system. Clone this repo

git clone https://github.com/bachirelkhadir/covid-19.git

Move inside the folder and run julia using the following commands.

cd covid-19/
julia barrier_method_to_bound_infection_rate.jl
julia lyapunov_method_to_bound_infection_rate.jl