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A Stochastic Model for Panic Behaviour in Disease Dynamics
 

Summary: A Stochastic Model for
Panic Behaviour in Disease Dynamics
Diplomarbeit
vorgelegt von
Rafael Brune
aus Göttingen
angefertigt
im Institut für Nichtlineare Dynamik
der Georg-August-Universität zu Göttingen
2008
Contents
1 Introduction 5
2 Approaches to Infectious Diseases 7
2.1 Chemical Reactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.2 Meanfield Approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.3 Reaction Diffusion Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
2.4 Graphs and Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.5 Modelling Disease Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.5.1 SI Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.5.2 SIS Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

  

Source: Amaral, Luis A.N. - Department of Chemical and Biological Engineering, Northwestern University

 

Collections: Physics; Biology and Medicine