Logo CIMPA

Ethiopia

Mathematical Modeling of infectious diseases

Patrick Tchepmo Djomegni

Summary: In this course, students will be introduced to the mathematical modeling of infectious diseases. Basic knowledge on certain diseases (tuberculosis, HIV/AIDS, hepatitis, malaria…) will be provided. Only deterministic mathematical models will be studied. Since the models are expressed in the form of ordinary differential equations, most of them cannot be solved explicitly. The qualitative characteristics of the solutions will be studied.
 

Sun. 08 Jan, 2023 → Sun. 15 Jan, 2023

<div class="tex2jax_process">Partial Differential Equations (PDEs) are fundamental tools for modeling natural phenomena across the physical, biological, and social sciences, describing systems that evolve in space and time. This summer school, "Modern Perspectives on PDEs: Theory and Applications," explores classical foundations alongside the expanding frontier where PDEs intersect with data science and machine learning.

The objective of this research school is to present a wide range of applications of the theory of finite-dimensional optimal control to engineering. First, we will pro­ pose a rigorous introduction to the theoretical basis of the theory with two courses (by F. Chittaro and L. Poggiolini) of Optimal Control completed with exercise sessions. Then, we will propose sev­ eral courses devoted to some applications of the previous courses to some problems in engeneering. The first course (by E.