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On the Qualitative ...
On the Qualitative Behaviour of SIR Epidemics with Generalized Infection Rate Functions
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El Maroufy, H. (author)
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- Taib, Ziad, 1953 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 2010
- 2010
- English.
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In: Applied Mathematics & Information Sciences. - 1935-0090 .- 2325-0399. ; 4:3, s. 353-363
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Abstract
Subject headings
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- We consider an SIR stochastic epidemic model in which new infection occurs at rate f(n)(x,y), where x and y are respectively the number of susceptibles and infectives at time of infection and f(n) is a positive sequence of real functions. Threshold theorems analogous to those of Whittle and Williams are fairly proved for this model. Also we examine the shape of the total size distribution for various values of removal rate and suitable values of other important parameters.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- Epidemic model
- generalized infection rate
- threshold theorems
- total
- size
- stochastic epidemic
- models
- aids
- population
- spread
- size
- hiv
- aids
Publication and Content Type
- ref (subject category)
- art (subject category)
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