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Journal of Mathematical Modeling، جلد ۹، شماره ۴، صفحات ۵۳۷-۵۵۳
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
A stochastic model for HIV with the use of PrEP |
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| چکیده انگلیسی مقاله |
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. |
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| کلیدواژه‌های انگلیسی مقاله |
HIV/AIDS stochastic model, basic reproduction number, pre-exposure prophylaxis, almost sure exponential stability, extinction |
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| نویسندگان مقاله |
Mozart Umba Nsuami Nsuami |
Department of Mathematics and Applied Mathematics,
University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South Africa
Peter Joseph Witbooi |
Department of Mathematics and Applied Mathematics,
University of the Western Cape, Private Bag X17, Bellville 7535, Republic of South Africa
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| نشانی اینترنتی |
https://jmm.guilan.ac.ir/article_4627_c0c66263d87aa9523fb2fa05bfdb0163.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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