Stochastic Epidemic Models
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00223101" target="_blank" >RIV/68407700:21340/14:00223101 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Stochastic Epidemic Models
Original language description
With expansion of travelling and communication, spread of two things has been significantly increased - infection diseases and knowledge. Both of them can be described by epidemic models. If the spread of the disease is known, it is possible to make precautions or choose optimal vaccination strategy to prevent epidemic. First, the deterministic model including birth and death process and control vaccination term is introduced. Next, three possible choices of stochastic versions are compared. These models are solved numerically using Euler method. First passage problem and optimal control problem are formulated. Finally, statistical distribution of first time of declaration of an epidemic is tested and the numerical solution of optimal vaccination strategy is found.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of Stochastic and Physical Monitoring Systems 2014
ISBN
978-80-01-05616-5
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
77-86
Publisher name
ČVUT v Praze
Place of publication
Praha
Event location
Malá Skála
Event date
Jun 23, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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