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Final outcome proba...
Final outcome probabilities for SIR epidemic model
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- El Maroufy, H. (författare)
- Universite Sultan Moulay Slimane de Beni-Mellal
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- Kiouach, D. (författare)
- Universite Sidi Mohamed Ben Abdellah
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- Taib, Ziad, 1953 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2016-03-30
- 2016
- Engelska.
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Ingår i: Communications in Statistics - Theory and Methods. - : Informa UK Limited. - 0361-0926 .- 1532-415X. ; 45:8, s. 2426-2437
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We consider an SIR stochastic epidemic model in which new infections occur at rate f(x, y), where x and y are, respectively, the number of susceptibles and infectives at the time of infection and f is a positive sequence of real functions. A simple explicit formula for the final size distribution is obtained. Some efficient recursive methods are proved for the exact calculation of this distribution. In addition, we give a Gaussian approximation for the final distribution using a diffusion process approximation.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Diffusion process
- Final size
- Markov chain
- Stochastic epidemic model
- Diffusion process
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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