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    Research

    Hamza El Mahjour

    Hamza El Mahjour

    I am a professor and I love teaching mathematics. I also do some research by applying math on epidemic models.

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    Nonlinear SEIS Epidemic Dynamics with Fractional-Order Time: Analytical and Numerical Results (2025)

    This study investigates a novel SEIS epidemic model that incorporates fractional-order derivatives to account for the memory effects of the disease spread…

    Bifurcation from an Epidemic Model in the Presence of Memory Effects (2022)

    In this paper, we consider a fractional SIS epidemic system…

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

    In this paper, we revisit the classical SIR epidemic model by replacing the simple bilinear transmission rate by a nonlinear one. Our results…

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

    This work aims to give a detailed analysis of a stochastic epidemic model with a general incidence rate…

    Qualitative behavior of a SIRS epidemic model with vaccination on heterogeneous network (2020)

    This paper studies the dynamics of a SIRS epidemic model with varying population size and vaccination in a complex network. Using an analytical…

    Global dynamics of an epidemic model with incomplete recovery in a complex network (2020)

    In this work, we study the global dynamics of a new SIRI epidemic model with demographics, graded cure and relapse in a complex heterogeneous network. First,...

    Dynamics and optimal control of a non-linear epidemic model with relapse and cure (2018)

    In this work, we introduce the basic reproduction number for a general epidemic model with graded cure, relapse and nonlinear incidence rate in a non-consta...

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