As part of its 10-year anniversary celebration under the theme: Developing versatile and innovative STEM leaders for Africa’s scientific excellence and socio-economic development, AIMS Ghana has instituted an annual public lecture in honor of the late Professor Francis Allotey who founded the institute and this event will be scheduled for August 9th every year. In
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
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
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
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
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
Speaker: Dr. Raouf Ghomrasni Short biography of Speaker: Dr. Raouf Ghomrasni is a probabilist. He was a lecturer at Witwatersrand University and held a research position at the African Institute for Mathematical Sciences (AIMS) in South Africa. More recently he has worked as a Statistician consultant for the World Health Organization and is currently a researcher
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.
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
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