Household epidemic models and Poisson driven McKean-Vlasov equations

Abstract: I will present the result of a joint work with Pr. Etienne Pardoux (Aix-Marseille Université), in which we studied an epidemic spreading in a population consisting of a collection of households, each containing a small number of individuals. Individuals have frequent contacts with other members of their household, and occasional contacts with individuals chosen at

Stochastic Epidemic Models with Partial Information and Dark Figure Estimation

Abstract:  Mathematical models of epidemics such as the current COVID-19 pandemics often use compartmental models dividing the population into several compartments. Based on a microscopic setting describing the temporal evolution of the subpopulation sizes in the compartments by stochastic counting processes one can derive macroscopic models for large populations describing the average behavior by associated

On the geometry of some rough Weierstrass and Takagi type curves: SBR measure and local time

Speaker: Prof. Dr. Peter Imkeller (Institute for Mathematics, Humboldt-University of Berlin, Germany) Abstract: We investigate geometric properties of graphs of Weierstrass or Takagi type functions, represented by series based on smooth functions. They are Hölder continuous, and can be embedded into smooth dynamical systems, where their graphs emerge as pullback attractors. It turns out that occupation measures

Exact simulation of the first time a diffusion process overcomes a given threshold

Abstract: The aim of our study is to propose a new exact simulation method for the first passage time (FPT) of a diffusion process (X_t , t ≥ 0). We shall consider either a continuous diffusion process (in collaboration with Cristina Zucca, University of Turin) or a jump diffusion (in collaboration with Nicolas Massin, University of

Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion/ Global dynamics of a spatiotemporal cellular model for the Hepatitis C virus infection with Hattaf-Yousfi functional response

Speaker 1: Dr. Louk-Man Issaka (Department of Mathematics, Universite Gaston Berger de Saint-Louis, Senegal) Title 1: Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion Abstract 1: The aim of this talk is to present the stability for some integro-differential equations driven by fractional Brownian motion with noncompact semigroup in Hilbert spaces. In this

The Energy decay rate of 1D and 2D Timoshenko systems: Theoretical analysis and numerical simulation / An Improved Numerical Solution of the Korteweg-de Vries (KdV) Equation

Speaker 1: Dr. Sabrine Chebbi (Department of mathematics, University of Tunis El MANAR, UTM) Title: The Energy decay rate of 1D and 2D Timoshenko systems: Theoretical analysis and numerical simulation Abstract 1: We focus on the behavior of the solutions of the Timoshenko systems in dimensions 1 and 2 using the lower bound estimates of the energy.

 Infinite regularization by noise

Abstract:  It is a classical yet surprising result that noise can have a regularizing effect on differential equations. For example, adding a Brownian motion to an ODE with a bounded and measurable vector field leads to a well-posed equation with Lipschitz continuous flow. While the equation without noise may have none or many solutions. Classical proofsare

Numerical schemes for radial Dunkl processes

Abstract:  In this talk, we consider the numerical approximation for a class of radial Dunkl processes corresponding to arbitrary (reduced) root systems. This class contains some well-known processes such as Bessel processes and Dyson’s Brownian motions. We introduce a backward and truncated Euler–Maruyama scheme, which can be implemented on a computer, and study its rate of

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