4 papers
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…
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…
Indirect stabilization of nonlinear coupled wave equations in the presence of time delay or indefinite damping
Alhabib Moumni, Cristina Pignotti, Jawad Salhi +1
This paper explores the exponential stability of two nonlinear wave equations coupled through their velocities. The analysis is divided into two main cases. First, we consider a sy…
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…