Mostafa Rachik

Travel-blocking Optimal Control Policy on Borders of a Chain of Regions Subject to SIRS Discrete Epidemic Model

Sara Bidah, Mostafa Rachik, Omar Zakary, Hamza Boutayeb & Ilias Elmouki · Asian Journal of Research in Infectious Diseases · 2018

With thousands of people moving from one area to another day by day, in a chain of regions tightly more interconnected than other regions in a given large domain, an epidemic may spread rapidly around it from any point of borders. It might be sometimes urgent to impose travel res...

Open access Research Article 10.9734/ajrid/2018/v1i229772

A Multi-Regions SIRS Discrete Epidemic Model With a Travel-Blocking Vicinity Optimal Control Approach on Cells

Imane Abouelkheir, Fadwa El Kihal, Mostafa Rachik, Omar Zakary & Ilias Elmouki · Journal of Advances in Mathematics and Computer Science · 2017

In Susceptible-Infected-Removed-Susceptible (SIRS) compartmental models, we can suppose that a removed population has lost its immunity after being healed from an infection, and then, it moves to the susceptible compartment. In this paper, we devise a multi-regions SIRS discrete...

Open access Research Article 10.9734/BJMCS/2017/31355