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Epidemic transmission on SEIR stochastic models with nonlinear incidence rate

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López Herrero, María Jesús (2016) Epidemic transmission on SEIR stochastic models with nonlinear incidence rate. Mathematical Methods in the Applied Sciences, 40 (7). pp. 2532-2541. ISSN 1099-1476

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.4179/epdf



Abstract

Our interest is to quantify the spread of an infective process with latency period and generic incidence rate that takes place in a Önite and homogeneous population. Within a stochastic framework, two random variables are deÖned 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.


Item Type:Article
Uncontrolled Keywords:Nonlinear incidence rate; Stochastic SEIR epidemic model; Index case; Secondary cases
Subjects:Sciences > Statistics
Sciences > Statistics > Multivariate analysis
Medical sciences > Medicine
ID Code:45171
Deposited On:24 Oct 2017 07:18
Last Modified:24 Oct 2017 14:48

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