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A stochastic model for HIV with the use of PrEP | ||
| Journal of Mathematical Modeling | ||
| مقاله 14، دوره 9، شماره 4، اسفند 2021، صفحه 537-553 اصل مقاله (492.05 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.16870.1461 | ||
| نویسندگان | ||
| Mozart Umba Nsuami Nsuami* ؛ Peter Joseph Witbooi | ||
| Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South Africa | ||
| چکیده | ||
| Pre-exposure prophylaxis (PrEP) has become a promising strategy used by uninfected individuals for the HIV prevention. The risk of infection with HIV after exposure to the virus can be understood through a stochastic framework. In this research we present a stochastic model for HIV/AIDS epidemic with the use of prophylaxis and we show that the model with random perturbation has a unique global positive solution. For a special case, we introduce an analogue, ${\cal R}_{\sigma}$, of the basic reproduction number. This invariant features in a theorem on almost sure exponential stability. Our results show that the disease goes extinct exponentially and almost surely whenever ${\cal R}_{\sigma}$ stays below unity. Simulations serve to illustrate various phenomena. | ||
| کلیدواژه‌ها | ||
| HIV/AIDS stochastic model؛ basic reproduction number؛ pre-exposure prophylaxis؛ almost sure exponential stability؛ extinction | ||
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آمار تعداد مشاهده مقاله: 978 تعداد دریافت فایل اصل مقاله: 893 |
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