ELFT HÍRADÓ

[szpl <szpl AT metal.elte.hu>]

ELTE Fizikai Intézet

                                ORTVAY KOLLOKVIUM

                    2017. október 19., csütörtök, 15:00-kor
                Az ELTE Pázmány Péter s. 1/A alatti épületében
                           földszinti 0.81 előadóban

                                    Simon Péter
(ELTE Matematikai Intézet, Alkalmazott Analízis és Számításmatematikai 
Tanszék)

                        Epidemic propagation on networks

Kivonatos ismertetés:
Networks have become extremely useful in modelling complex systems. Their use 
has led to rapid progress in the study of spreading processes such as 
information, rumour and epidemics. The exact mathematical model of a stochastic
network process, like epidemic propagation on a graph, can be formulated as a 
large system of linear differential equations. Despite of the fact, that the 
mathematical model is relatively simple, the analytical or numerical study of 
the system gets hard when the number of nodes in the graph is a large number. 
Hence the approximation of the system by simple non-linear differential 
equations is one of the most important tools of investigation. In this talk 
we give an introduction to this rapidly evolving field with emphasis on the 
mathematical methods introduced so far. Besides considering spreading processes
on static networks we will deal with adaptive networks, when the epidemic 
dynamics on the network is coupled with a network which evolves in time. 
Moreover, we show how this approach leads to the control of the network 
process, a mathematical problem attracting significant research interest 
nowadays.