The next meeting of the seminar of the Department of
Mathematical Modeling and Numerical Analysis
will be held on March 6, 2023, Monday, at 2:00 pm in Room 503
of the Institute of Mathematics and Informatics.
A talk on
Fractional models with applications to infectious diseases dynamics and control theory
will be delivered by
Faïçal Ndaïrou, postdoc fellow under the PICOM program.
Faïçal Ndaïrou, postdoc fellow under the PICOM program.
Abstract. In this talk, I will start by presenting some recent models of fractional calculus and their connection to previously introduced in the litterature. Mainly, I will focus on fractional models with general analytic kernel as they include many existing operators as particular cases. Then, as an application, a detail analysis of a fractional mathematical model of COVID–19 transmission dynamics reflecting realities of Portugal, Spain and Wuhan is given. Finally, a derivation of Pontryagin Maximum Principle (PMP) for fractional optimal control problems involving distributed order fractional derivatives is considered.