Frontiers of Science

THE MATHEMATICS OF CONTAGION

INTRODUCTION

The complex systems field is a fascinating knowledge area, being its main goal the representation of models with many involved factors for which the traditional study approaches are insufficient. Surprisingly, a wellposed model of a phenomenon is able of reproducing a large part of the complex behaviors observed in the real life with very few parameters. Competition between species, extinctions, phylogenetic trees, distribution of natural resources or percolation phenomena, etc., the type of situations that can be described through the formalism of these systems is enormous and fascinating are the conclusions that they engender.

THE SIR MODEL

To study the spread of an epidemic in terms of

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