Κλαδωτές ανελίξεις : θεωρία και εφαρμογές στην επιδημιολογία
Branching processes : theory and applications in epidemiology
The reason behind this master’s thesis was the sudden outbreak of the Covid-19 coronavirus pandemic. Over the years there have been many epidemics, which have affected humanity and necessitated the creation of mathematical models, which can provide an insight into the dynamics of epidemics and contribute to their prompt treatment In Chapter 2 there is an introduction to epidemiology, where the types of epidemiological studies, basic epidemiological indicators and risk measures are analyzed. Thereinafter, Chapter 3 deals with stochastic processes, their categorization (discrete and continuous time) and their analysis. In Chapter 4, the standard branching processes, continuous time branching models as well as the branching with one reproductive event per life cycle are presented in detail, whereas in the last section there is a description of epidemiological models based on branching. Finally, in the 5th chapter there is an analysis of the SIR and SEIR models, and an SIR model is applied to data concerning the first wave of the spread of the coronavirus pandemic in Greece.