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Mathematical Biosciences and Engineering

2006, Volume 3, Issue 3: 545-556. doi: 10.3934/mbe.2006.3.545
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Mathematical epidemiology of HIV/AIDS in cuba during the period 1986-2000

  • 1.
    NAMS, Richard Stockton College of New Jersey, Pomona, NJ 08240
  • 2.
    Massachusetts Institute of Technology and Woods Hole Oceanographic Institution, Biology Department MS #34, Woods Hole Oceanographic Institution, Woods Hole, MA 02543-1049
  • 3.
    University of Manitoba Winnipeg
  • 4.
    Department of Mathematics, North University of China, Taiyuan, Shanxi, 030051, P. R.
  • 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
  • Received: 01 June 2005 Accepted: 29 June 2018 Published: 01 May 2006

  • MSC : 92D30.

  • 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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  • 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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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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