Lectures

Introductory courses

We strongly encourage participants to study the introductory courses from our SEAMS school

https://sites.google.com/view/seamsph2020/documents

Data assimilation

by Professor M. Asch, France

This lecture is an introduction to the new, interdisciplinary and emerging discipline: data assimilation. DA is the solution of an inverse problem, where we seek an optimal estimation of the initial state of a dynamical system. It is the basis of all meteorological and climate predictions, but can be applied to any dynamic system, such as those found in ecology, population dynamics, disease propagation, etc.

Definitions and notation
Variational DA
Statistical DA (Kalman filter, Ensemble filters, Bayesian and Nonlinear Filters)
Examples and applications

Advanced courses

Models of vector-borne diseases

by Professor N. Nuraini, Indonesia

We present the basics model of vector-borne diseases, then we explain how it can be adapted to the epidemy of dengue.

The SIR model
The Ross model
Application to dengue

Mathematical Tools and Methods for Agronomy and Ecology

by Professor Y. Dumont, France

We will show that issues in Ecology, pest control, and crop epidemiology can lead to new and very challenging models to study mathematically. In particular, we will explain the different steps to pass, i.e. from the modeling to the numerics, through mathematical analysis, to study the following topics:

Pest/vector control using the Sterile Insect Technique,
Mathematical Epidemiology for crops,
Grass-Forest modeling. Applications in Grassland, Savannah and Forest dynamics,

and to show that practical and useful results can emerge from a Mathematical approach.

Hyperbolic systems to deScribe flows

by Professor N. Bedjaoui, France

Hyperbolic systems are presented with both their theoretical aspects and their application to model flows

- Notion of hyperbolicity
- Reminder about hyperbolic scalar equation
- Resolution of hyperbolic system
- Application to traffic flow and water flow

Training sessions

Finite differences with python

by M. Pires, Portugal

After reminding basis of finite differences method, this training session focuses on the use of python to solve partial differential equations and visualise the numerical solutions.

Waves on a string and some generalizations
Diffusion in homogeneous and heterogeneous media
Advection and (or not) diffusion

Practical resolution of stochastic differential equations

by Y. Mammeri, France

We discuss the discretization and the simulation with python of stochastic differential equations

1. Euler type schemes
2. Weak and strong convergences
3. Pathway, Expectation and Monte-Carlo
4. Brownian motion, heat equation
5. Application to epidemiology

Interactive activities

Mini projects

Groups of participants will be supervised by lecturers or speakers for mini-projects: complements to the classes, theoretical or practical exercises will be discussed. The list of min-projects and the group members will be set up during the school.

Scientific talks

Scientific talks will be offered to the participants each day to conclude the daily sessions. The list of speakers will be announced as soon as possible.

Complementary activities

Round-table "doing your PhD or Postdoc abroad"

Popularization presentation

Two popularisation presentations will be given for a large audience.

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