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[Fizinfo] Ortvay kollokvium

Chronological Thread 
  • From: szpl <szpl AT>
  • To: <fizinfo AT>
  • Subject: [Fizinfo] Ortvay kollokvium
  • Date: Mon, 16 Oct 2017 09:17:38 +0200

ELTE Fizikai Intézet


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

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.

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