MathMods :: Joint MSc

Biomathematics

Additional Info

  • ECTS credits: 6
  • Semester: 3
  • University: University of L'Aquila
  • Objectives:

    Aim of the course is to provide basic and advanced tools needed to provide a differential-equations-based model for a selected set of applied settings from population biology, epidemiology, chemistry, cell biology and similar topics. Moreover, the course aims to provide the methods to partly solve the proposed models or to detect their qualitative behaviour. The methods proposed include energy estimates, viscous approximation methods, compactness methods. Finally, the mathematical (analytical) results are complemented with suitable comments and interpretations.

  • Topics:

     

    ODE models. Single species population models. ODEs with delay. Dynamical systems. Multi species models: predator-prey, competition, mutualism. Models in epidemiology. SIR and XSI models. Modelling AIDS. Modelling reaction kinetics. Michaelis-Menten approach. Singular limits. PDE models. Diffusion equations. Nonlinear diffusion, existence of solutions and asymptotic behavior. Reaction diffusion equations. Threshold phenomena and travelling waves. Reaction diffusion systems. Turing instability. Models for chemotaxis. Blow-up of solutions. Models for structured populations.

Read 1403 times Last modified on Tuesday, 20 February 2018 17:19

Connect with us

Our partners' addresses

University of L'Aquila, Italy (UAQ)

Department of Information Engineering, Computer Science and Mathematics, via Vetoio (Coppito), 1 – 67100 L’Aquila (Italy)

University of Hamburg , Germany (UHH)

Department of Mathematics
Bundesstr. 55
20146 Hamburg - Germany

University of Côte d'Azur, Nice - France (UCA)

Laboratoire J.A.Dieudonné
Parc Valrose, France-06108 NICE Cedex 2

Vienna Univ. of Technology, Austria (TUW)

Technische Universität Wien
Institute of Analysis & Scientific Computing
Wiedner Hauptstr. 8, 1040 Vienna - Austria

This web-site reflects the views only of the author, and the EU Commission cannot be held responsible for any use which may be made of the information contained therein.