Поредната сбирка на семинара на секция
Математическо моделиране и числен анализ
ще се състои на 06.03.2023 г., понеделник, от 14:00 часа в зала 503
на Института по математика и информатика със следната програма:
Доклад на тема
Fractional models with applications to infectious diseases dynamics and control theory
ще изнесе
Файсал Ндайроу, постдокторант по програма ПИКОМ.
Файсал Ндайроу, постдокторант по програма ПИКОМ.
Резюме. 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.