Mathematical modeling of the HIV/AIDS epidemic in Cuba

Antonio Mastroberardino; Yuanji Cheng; Ahmed Abdelrazec; Hao Liu

doi:10.1142/S1793524515500473

Mathematical modeling of the HIV/AIDS epidemic in Cuba

Antonio Mastroberardino
, Yuanji Cheng
, Ahmed Abdelrazec
, Hao Liu

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In this paper, a nonlinear mathematical model is presented forthe 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.

Original language	English
Article number	1550047
Journal	International Journal of Biomathematics
Volume	8
Issue number	4
DOIs	https://doi.org/10.1142/S1793524515500473
State	Published - 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 World Scientific Publishing Company.

Keywords

HIV/AIDS dynamics
epidemic model
stability theory

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1142/S1793524515500473

Cite this

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title = "Mathematical modeling of the HIV/AIDS epidemic in Cuba",

abstract = "In this paper, a nonlinear mathematical model is presented forthe 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.",

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AU - Mastroberardino, Antonio

AU - Cheng, Yuanji

AU - Abdelrazec, Ahmed

AU - Liu, Hao

PY - 2015

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N2 - In this paper, a nonlinear mathematical model is presented forthe 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.

AB - In this paper, a nonlinear mathematical model is presented forthe 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.

KW - HIV/AIDS dynamics

KW - epidemic model

KW - stability theory

UR - https://www.scopus.com/pages/publications/84941578627

U2 - 10.1142/S1793524515500473

DO - 10.1142/S1793524515500473

M3 - Article

AN - SCOPUS:84941578627

SN - 1793-5245

VL - 8

JO - International Journal of Biomathematics

JF - International Journal of Biomathematics

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ER -

Mathematical modeling of the HIV/AIDS epidemic in Cuba

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

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