Discrete stochastic model of HIV infection spread within a heterogeneous population

A discrete stochastic model of HIV infection spread within a heterogeneous population is presented. A system of high-dimensional stochastic difference equations is used in the model. A system of upper estimates for mathematical expectations of the sizes of groups of individuals in the population is...

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Bibliographic Details
Published inRussian journal of numerical analysis and mathematical modelling Vol. 27; no. 5; pp. 459 - 478
Main Authors Pertsev, N. V., Leonenko, V. N.
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2012
Subjects
Computer simulation
HIV
Mathematical analysis
Mathematical models
Numerical analysis
Spreads
Stochasticity
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Summary:A discrete stochastic model of HIV infection spread within a heterogeneous population is presented. A system of high-dimensional stochastic difference equations is used in the model. A system of upper estimates for mathematical expectations of the sizes of groups of individuals in the population is constructed. Sufficient conditions for the extinction of the infection process are obtained in terms of M-matrices. Based on the Monte Carlo method, a numerical algorithm and a simulation code are developed, which allows one to study probabilistic characteristics of the observed variables of the model. Results of numerical experiments are presented.
Bibliography:istex:AC4974C016BADEEAA37BB859BF603E5EA15C147E
ArticleID:rnam-2012-0026
rnam-2012-0026.pdf
ark:/67375/QT4-B9N06RT5-V
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0927-6467
1569-3988
DOI:10.1515/rnam-2012-0026