Research

I work on mathematical models of infectious diseases: stochastic and fractional-order dynamics, epidemics on complex networks, bifurcation analysis and optimal control.

1. 2025
   Nonlinear SEIS Epidemic Dynamics with Fractional-Order Time: Analytical and Numerical Results

   J El Amrani, H El Mahjour, I Serroukh and A Lahrouz

   Journal of Nonlinear Modeling and Analysis, 7(2), 583–601

2. 2025
   Full and partial controllability of the Kermack–McKendrick system with time-varying incidence rates

   H El Mahjour, A Lahrouz, O Zakary and Mariam Redouane

   Journal of Mathematical Modeling, 7(2), 583–601

3. 2022
   A stochastic SIR epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis

   A Lahrouz, A Settati, M Jarroudi, H El Mahjour et al

   Stochastics and Dynamics, 22(06), 2250016

4. 2022
   Bifurcation from an Epidemic Model in the Presence of Memory Effects

   A Lahrouz, H El Mahjour, A Settati et al

   International Journal of Bifurcation and Chaos, 32(06), 2250077

5. 2021
   A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate

   A Settati, A Lahrouz, M Zahri, A Tridane, M El Fatini, H El Mahjour and M Seaid

   Chaos, Solitons & Fractals, 144, 110690

6. 2020
   Global dynamics of an epidemic model with incomplete recovery in a complex network

   A Lahrouz, A Settati, H El Mahjour, M El Jarroudi et al

   Journal of the Franklin Institute, 357(7), 4414–4436

7. 2020
   Qualitative behavior of a SIRS epidemic model with vaccination on heterogeneous network

   A Assadouq, H El Mahjour and A Settati

   Italian Journal of Pure Applied Mathematics, 43, 958–974

8. 2018
   Dynamics and optimal control of a non-linear epidemic model with relapse and cure

   A Lahrouz, A Settati, H El Mahjour, M El Jarroudi et al

   Physica A: Statistical Mechanics and its Applications, 496, 299–317

Full and up-to-date lists on ORCID and Scopus.