Mathematical epidemiology of HIV/AIDS in cuba during the period 1986-2000
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1.
NAMS, Richard Stockton College of New Jersey, Pomona, NJ 08240
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2.
Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, Biology Department MS #34, Woods Hole Oceanographic Institution, Woods Hole, MA 02543-1049
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3.
University of Manitoba Winnipeg
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4.
Department of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R.
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5.
Centre for Global Health Research at St. Michael's Hospital and Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3
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Received:
01 June 2005
Accepted:
29 June 2018
Published:
01 May 2006
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MSC :
92D30.
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The dynamics of HIV/AIDS epidemics in a specific region is de-
termined not only by virology and virus transmission mechanisms, but also by
region's socioeconomic aspects. In this paper we study the HIV transmission
dynamics for Cuba. We modify the model of de Arazoza and Lounes [1] accord-
ing to the background about the virology and the socioeconomic factors that
affect the epidemiology of the Cuban HIV outbreak. The two main methods
for detection of HIV/AIDS cases in Cuba are ''random'' testing and contact
tracing. As the detection equipment is costly and depends on biotechnological
advances, the testing rate can be changed by many external factors. Therefore,
our model includes time-dependent testing rates. By comparing our model to
the 1986-2000 Cuban HIV/AIDS data and the de Arazoza and Lounes model,
we show that socioeconomic aspects are an important factor in determining
the dynamics of the epidemic.
Citation: Brandy Rapatski, Petra Klepac, Stephen Dueck, Maoxing Liu, Leda Ivic Weiss. Mathematical epidemiology of HIV/AIDS in cuba during the period 1986-2000[J]. Mathematical Biosciences and Engineering, 2006, 3(3): 545-556. doi: 10.3934/mbe.2006.3.545
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Abstract
The dynamics of HIV/AIDS epidemics in a specific region is de-
termined not only by virology and virus transmission mechanisms, but also by
region's socioeconomic aspects. In this paper we study the HIV transmission
dynamics for Cuba. We modify the model of de Arazoza and Lounes [1] accord-
ing to the background about the virology and the socioeconomic factors that
affect the epidemiology of the Cuban HIV outbreak. The two main methods
for detection of HIV/AIDS cases in Cuba are ''random'' testing and contact
tracing. As the detection equipment is costly and depends on biotechnological
advances, the testing rate can be changed by many external factors. Therefore,
our model includes time-dependent testing rates. By comparing our model to
the 1986-2000 Cuban HIV/AIDS data and the de Arazoza and Lounes model,
we show that socioeconomic aspects are an important factor in determining
the dynamics of the epidemic.
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