A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis

Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used for illustration such as an SIR epidemic mode...

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Detalles Bibliográficos
Autor principal: Allen, Linda J.S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: KeAi Publishing 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6002090/
https://www.ncbi.nlm.nih.gov/pubmed/29928733
http://dx.doi.org/10.1016/j.idm.2017.03.001
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author Allen, Linda J.S.
author_facet Allen, Linda J.S.
author_sort Allen, Linda J.S.
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description Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used for illustration such as an SIR epidemic model and a host-vector malaria model. Analytical methods for approximating the probability of a disease outbreak are also discussed.
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spelling pubmed-60020902018-06-20 A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis Allen, Linda J.S. Infect Dis Model Article Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used for illustration such as an SIR epidemic model and a host-vector malaria model. Analytical methods for approximating the probability of a disease outbreak are also discussed. KeAi Publishing 2017-03-11 /pmc/articles/PMC6002090/ /pubmed/29928733 http://dx.doi.org/10.1016/j.idm.2017.03.001 Text en © 2017 KeAi Communications Co., Ltd. Production and hosting by Elsevier B.V. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Article
Allen, Linda J.S.
A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title_full A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title_fullStr A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title_full_unstemmed A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title_short A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis
title_sort primer on stochastic epidemic models: formulation, numerical simulation, and analysis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6002090/
https://www.ncbi.nlm.nih.gov/pubmed/29928733
http://dx.doi.org/10.1016/j.idm.2017.03.001
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