Mathematical modeling of the HIV/AIDS epidemic in Cuba

被引：14
|
作者：
Mastroberardino, Antonio [1 ]
Cheng, Yuanji [2 ]
Abdelrazec, Ahmed [3 ]
Liu, Hao [4 ]
机构：
[1] Penn State Erie, Behrend Coll, Sch Sci, Erie, PA 16563 USA
[2] Malmo Univ, Sch Technol, S-20506 Malmo, Sweden
[3] Arizona State Univ, Sch Math & Nat Sci, Tempe, AZ 85069 USA
[4] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 04期
基金：
美国国家科学基金会;
关键词：
HIV/AIDS dynamics; epidemic model; stability theory; DISEASE;
D O I：
10.1142/S1793524515500473
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a nonlinear mathematical model is presented for the transmission dynamics of HIV/AIDS in Cuba. Due to Cuba's highly successful national prevention program, we assume that the only mode of transmission is through contact with those yet to be diagnosed with HIV. We find the equilibria of the governing nonlinear system, perform a linear stability analysis, and then provide results on global stability.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] EPIDEMICS AND CONTAINMENT Cuba and the HIV/AIDS epidemic
    Scheper-Hughes, Nancy
    [J]. ANTHROPOLOGY TODAY, 2020, 36 (03) : 22 - 24
  • [2] Mathematical Epidemic Model of HIV/AIDS in Pakistan
    Tirmizi, Syed Rizwan Ul Haq
    Khan, Nasiruddin
    Tirmizi, Syed Talha
    Tirmizi, Syeda Amara
    [J]. BANGLADESH JOURNAL OF MEDICAL SCIENCE, 2019, 18 (01): : 14 - 23
  • [3] HIV/AIDS EPIDEMIC IN INDIA AND PREDICTING THE IMPACT OF THE NATIONAL RESPONSE: MATHEMATICAL MODELING AND ANALYSIS
    Rao, Arni S. R. Srinivasa
    Thomas, Kurien
    Sudhakar, Kurapati
    Maini, Philip K.
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2009, 6 (04) : 779 - 813
  • [4] MODELING THE EFFECT OF TAP ON THE HIV/AIDS EPIDEMIC
    Garnett, G. P.
    [J]. SEXUALLY TRANSMITTED INFECTIONS, 2013, 89 : A17 - A17
  • [5] The HIV/AIDS epidemic in Cuba: description and tentative explanation of its low HIV prevalence
    Héctor de Arazoza
    Jose Joanes
    Rachid Lounes
    Camille Legeai
    Stéphan Clémençon
    Jorge Pérez
    Bertran Auvert
    [J]. BMC Infectious Diseases, 7
  • [6] The HIV/AIDS epidemic in Cuba:: description and tentative explanation of its low HIV prevalence
    de Arazoza, Hector
    Joanes, Jose
    Lounes, Rachid
    Legeai, Camille
    Clemencon, Stephan
    Perez, Jorge
    Auvert, Bertran
    [J]. BMC INFECTIOUS DISEASES, 2007, 7 (1)
  • [7] Optimal Solution of a Fractional HIV/AIDS Epidemic Mathematical Model
    Hassani, Hossein
    Avazzadeh, Zakieh
    Machado, J. A. Tenreiro
    Agarwal, Praveen
    Bakhtiar, Maryam
    [J]. JOURNAL OF COMPUTATIONAL BIOLOGY, 2022, 29 (03) : 276 - 291
  • [8] Periodicity of the HIV/AIDS Epidemic in a Mathematical Model that Incorporates Complacency
    Baryarama, Flugentius
    Luboobi, Livingstone S.
    Mugisha, Joseph Y. T.
    [J]. AMERICAN JOURNAL OF INFECTIOUS DISEASES, 2005, 1 (01) : 55 - 60
  • [9] Modeling the HIV/AIDS epidemic via survivor functions
    Schinaia, G
    [J]. EUROPEAN JOURNAL OF EPIDEMIOLOGY, 2000, 16 (06) : 573 - 579
  • [10] Modeling the HIV/AIDS epidemic via survivor functions
    Giuseppe Schinaia
    [J]. European Journal of Epidemiology, 2000, 16 : 573 - 579
12345