Mathematical modeling of the HIV/AIDS epidemic in Cuba-Reference-Cited by-同舟云学术

Mathematical modeling of the HIV/AIDS epidemic in Cuba

Published:2015-06-22 Issue:04 Volume:08 Page:1550047
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Mastroberardino Antonio¹,Cheng Yuanji²,Abdelrazec Ahmed³,Liu Hao⁴

Affiliation:

1. School of Science, Penn State Erie, The Behrend College, Erie, Pennsylvania 16563, USA

2. School of Technology, Malmö University, 205 06 Malmö, Sweden

3. School of Mathematical and Natural Sciences, Arizona State University, Tempe AZ 85069-7100, USA

4. Department of Mathematics, Arizona State University, Tempe AZ 85287-1804, USA

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524515500473

Reference8 articles.

1. The HIV/AIDS epidemic in Cuba: description and tentative explanation of its low HIV prevalence

2. A non-linear model for a sexually transmitted disease with contact tracing

3. Modeling HIV Epidemic under Contact Tracing — The Cuban Case

4. On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations

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