We review several connections between percolation and SEIR epidemics models. In the 1rst part we analyze the role of percolation in representing or approximating an epidemic model; in the second part we discuss the role of percolation in modelling the random networks on which the spread of the infectious diseases takes place. At the end, we propose a class of models which are mathematically treatable and at the same time incorporate most of the desirable features of epidemic modelling
Percolation Methods for SEIR Epidemics on Graphs / A. Gandolfi. - STAMPA. - (2013), pp. 31-59. [10.1007/978-1-4614-9224-5]
Percolation Methods for SEIR Epidemics on Graphs
GANDOLFI, ALBERTO
2013
Abstract
We review several connections between percolation and SEIR epidemics models. In the 1rst part we analyze the role of percolation in representing or approximating an epidemic model; in the second part we discuss the role of percolation in modelling the random networks on which the spread of the infectious diseases takes place. At the end, we propose a class of models which are mathematically treatable and at the same time incorporate most of the desirable features of epidemic modelling
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