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20212025
most citedWell-posedness results for a new class of stochastic spatio-temporal SIR-type models driven by proportional pure-jump Lévy noise

12 citations · 14 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2025

Waterborne epidemics via a new coupled SIR--Pathogen--Navier-Stokes system: Mathematical modeling, nonlinear analysis and numerical simulation

Mohamed Mehdaoui, Yassine Ouzrour

Water-borne diseases are still a major public health concern, as there are circumstances under which water could act as a carrier of the pathogen, extending their modeling beyond d…

math.PR2025

Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology

Mostafa Bendahmane, Mohamed Mehdaoui, Mouhcine Tilioua

The purpose of this paper is to establish the well-posedness of martingale (probabilistic weak) solutions to stochastic degenerate aggregation--diffusion equations arising in biolo…

math.OC2025

A note on quantifying the contributions of incidence functions in spatio-temporal epidemic models

Mohamed Mehdaoui, Mouhcine Tilioua

A crucial feature of reaction-diffusion epidemic models is the incidence function, which characterizes disease transmission dynamics. Over the past few decades, many studies have i…

math.OC2024

Theoretical and numerical indirect stabilization of coupled wave equations with a single time-delayed damping

Alhabib Moumni, Mohamed Mehdaoui, Jawad Salhi +1

The focal point of this paper is to theoretically investigate and numerically validate the effect of time delay on the exponential stabilization of a class of coupled hyperbolic sy…

math.PR2023★ 12 cited

Well-posedness results for a new class of stochastic spatio-temporal SIR-type models driven by proportional pure-jump Lévy noise

Mohamed Mehdaoui

This paper provides a first attempt to incorporate the massive discontinuous changes in the spatio-temporal dynamics of epidemics. Namely, we propose an extended class of epidemic…

q-bio.PE2021★ 2 cited

A review of commonly used compartmental models in epidemiology

Mohamed Mehdaoui

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been publi…