3 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…