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Epidemic transmission on SEIR stochastic models with nonlinear incidence rate
Author(s) -
LopezHerrero Mariajesus
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4179
Subject(s) - mathematics , nonlinear system , homogeneous , population , stochastic process , transmission (telecommunications) , index (typography) , incidence (geometry) , range (aeronautics) , statistics , mathematical optimization , computer science , demography , combinatorics , geometry , telecommunications , physics , materials science , quantum mechanics , sociology , world wide web , composite material
Our interest is to quantify the spread of an infective process with latency period and generic incidence rate that takes place in a finite and homogeneous population. Within a stochastic framework, two random variables are defined to describe the variations of the number of secondary cases produced by an index case inside of a closed population. Computational algorithms are presented in order to characterize both random variables. Finally, theoretical and algorithmic results are illustrated by several numerical examples. Copyright © 2016 John Wiley & Sons, Ltd.