Miled El Hajji

Analysis of a Fractional-order “SVEIR” Epidemic Mo del with a General Nonlinear Saturated Incidence Rate in a Continuous Reactor

Miled El Hajji & Sayed Sayari · Asian Research Journal of Mathematics · 2019

In this paper, I propose a fractional-order mathematical five-dimensional dynamical system  modeling a SVEIR model of infectious disease transmission in a chemostat. A profound qualitative analysis is given. The analysis of the local and global stability of equilibrium points is...

Open access Research Article 10.9734/arjom/2019/v12i430095

Mathematical Analysis of a Fractional-order ”SIR” Epidemic Model with a General Nonlinear Saturated Incidence Rate in a Chemostat

Miled El Hajji · Asian Research Journal of Mathematics · 2019

In the present work, a fractional-order differential equation based on the Susceptible-Infected- Recovered (SIR) model with nonlinear incidence rate in a continuous reactor is proposed. A profound qualitative analysis is given. The analysis of the local and global stability of eq...

Open access Research Article 10.9734/arjom/2019/v12i230082

How the Fractional-order Improve and Extend the Well-known Competitive Exclusion Principle in the Chemostat Model with n Species Competing for a Single Resource?

Sayed Sayari & Miled El Hajji · Asian Research Journal of Mathematics · 2019

In this paper, a fractional-order mathematical model for n species competing, in a chemostat, for a single resource is proposed. The global dynamics was studied using Lyapunov theory, for any set of increasing growth functions. Obtained results generalize and improve the well-kno...

Open access Research Article 10.9734/arjom/2019/v12i330085