Abstract: According to the time scale, dynamic models for infectious illnesses describing between hosts and within hosts react differently. However, they pose a barrier to understanding how a viral load affects an epidemic model's behavior in a particular population. In this talk, a presentation of Between-Host and In-Host infectious diseases models and their stochastic stability analysis will be provided. Also, some results of public health interventions on coupled within-host and between-host dynamics with the effects of stochastic perturbations.

Bio: Idriss Sekkak develops an integrative framework that explores the impact of public health interventions across a broad spectrum of societal and economic issues as a Postdoctoral fellow in Bouchra Nasri's Lab at the school of public health (ESPUM), University of Montreal, Canada. Idriss Sekkak received his Ph.D. degree in stochastic modeling and control strategies in epidemiology from the University of Ibn Tofail, Kénitra, Morocco. His main research interests include dynamical systems, stochastic analysis, stochastic optimization, and their applications.