Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 15.0 h
Q1
Teacher(s)
Hanert Emmanuel;
Language
English
Prerequisites
Basic courses in mathematics (LMAT1111, LBIR1200) and some knowledge of Matlab (LBIR1204, LBIR1305).
Main themes
This module will help students to develop a thorough knowledge of the different steps required to setup a model and learn how to use simulation tools. The students will be able to setup a complete modelling approach in order to forecast and anticipate the behaviour of complex systems. This module considers the propagation of errors and uncertainties in models and hence allows estimating the risk associated to a particular decision.
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
a. Contribution de l'activité au référentiel AA (AA du programme) 1.2 2.1, 2.2, 2.3, 2.4 3.1, 3.2, 3.3, 3.4 6.1, 6.2, 6.3, 6.5, 6.8 b. Formulation spécifique pour cette activité des AA du programme By the end of the LBRTI2102 module, students will be able to: · Name, describe, explain the theoretical concepts related to the mechanistic approach to analyse and model environmental processes; · Explain mathematical concepts and use computational tools to model the space-time dynamics of these processes; · Use these concepts and tools in an operational fashion in order to model the processes that drive realistic environmental systems in the context of an individual project; · Present a detailed justification of the methodological choices that have been made to analyse the system under study; · Write a brief report, with a solid discussion based on the modelling results and appropriately illustrated with graphs and charts, using accurate and appropriate scientific vocabulary. |
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Content
The course covers the following elements and illustrates them with examples modelled with Matlab and/or Python:
- Application of mathematical models in ecology : logistic growth - predator-prey models and general Lotka-Volterra models applied to multi-populations systems.
- Applicatioin of mathematical models in epidemiology: compartments models - population dynamics (epidemics vs endemic states) - reproduction number (R0).
- Transport models in 1D and 2D, and numerical discretization of the advection, diffusion and reaction terms.
- Application of transport models in ecology, epidemiology and hydrodynamics.
- Cellular automata models and their application to simulate outbreaks and invasive species.
Teaching methods
Teaching is based on a two-hour lecture each week. The lecture format is very "hands-on" with many practical examples and illustrations. Students are encouraged to take their laptop in the classroom. Practical sessions with a research assistant are also scheduled to help the students apply the concepts presented during the lectures.
Evaluation methods
Individual report on a personal project to be handed in by the end of term and a written exam during the exam session.
Other information
Lecture notes are written in English. The course is taught in English.
Online resources
Moodle course site with all the lecture notes and many Matlab/Python scripts.
Bibliography
All the lecture notes and the Matlab scripts used during the lectures are made available on Moodle.
There is a list with recommended books and scientific papers on Moodle
There is a list with recommended books and scientific papers on Moodle
Faculty or entity
AGRO
