MATHEMATICS OF SELF-ORGANISATION IN CELL SYSTEMS
 
 
 
by Steffen Härting
by Moritz Mercker
by Moritz Mercker
by Steffen Härting
Seminar

Delay Equations: Theory and Applications

Organiser
Dr. M. V. Barbarossa (barbarossa@uni-heidelberg.de)
Students:
Master or PhD Students in Mathematics/Physics
SWS:
2 (Block sessions possible)
Overview:
This seminar presents an introduction to Delay Differential Equations for upper level undergraduates or graduate mathematics students who have a good background in Analysis and Ordinary Differential Equations. We will focus on key tools necessary to understand and analyze mathematical models with delay equations. Among the topics: Well-posedness of systems with delays, stability of equilibria via linearization and Lyapunov functions, Hopf bifurcation, examples from applications in biology.
Bibliography:
[1] J. Hale, Theory of Functional Differential Equations, Springer, 1977
[2] H. Smith. An Introduction to Delay Differential Equations with Applications to the Life Sciences, Springer, 2011
[3] Y. Kuang. Delay Differential Equations - with Applications in Population Dynamics, Academic Press, 1993
[4] N. McDonald, Biological Delay Systems: Linear Stability Theory

Meetings

DateTopic
June 25th
2:00 pm
Exsitence and uniqueness of solutions (Jonathan)
June 25th
3:00 pm
Linearised stability / Wright's equation (Alexa)
July 2nd
2:00 pm
Transport equations and DDEs (Diana)
July 2nd
3:00 pm
Numerical Methods for DDEs (Lukas)