Epidemic transmission on SEIR stochastic models with nonlinear incidence rate | Zendy

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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.

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