scholarly journals A mathematical model of how non-adherence to HIV management guidelines for infected newborns contribute to the spread of HIV/AIDS

2021 ◽  
pp. 1-13
Author(s):  
Ofosuhene O. Apenteng ◽  
Mavis Pearl Kwabla ◽  
Noor Azina Ismail ◽  
Kafilah Lola Gold
Keyword(s):  
Mathematical Model ◽  
Management Guidelines ◽  
Hiv Management ◽  
Hiv Aids

Pre-exposure prophylaxis HIV/AIDS mathematical model with non classical isolation

2020 ◽  
Vol 37 (3) ◽  
pp. 781-801 ◽  
Author(s):  
P. M. Tchepmo Djomegni ◽  
Andualem Tekle ◽  
Mohammed Y. Dawed
Keyword(s):  
Mathematical Model ◽  
Exposure Prophylaxis ◽  
Hiv Aids

Fractal-fractional order dynamical behavior of an HIV/AIDS epidemic mathematical model

2021 ◽  
Vol 136 (1) ◽  
Author(s):  
Zeeshan Ali ◽  
Faranak Rabiei ◽  
Kamal Shah ◽  
Touraj Khodadadi
Keyword(s):  
Mathematical Model ◽  
Fractional Order ◽  
Dynamical Behavior ◽  
Aids Epidemic ◽  
Hiv Aids

DEVELOPMENT OF A MATHEMATICAL MODEL TO ESTIMATE THE COST-EFFECTIVENESS OF THE RYAN WHITE HIV/AIDS PROGRAM

2020 ◽  
Vol Publish Ahead of Print ◽  
Author(s):  
Ravi Goyal ◽  
Cindy Hu ◽  
Pamela W. Klein ◽  
John Hotchkiss ◽  
Eric Morris ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Cost Effectiveness ◽  
Ryan White ◽  
Aids Program ◽  
The Cost ◽  
Hiv Aids

scholarly journals A MODEL FOR CONTROL OF HIV/AIDS WITH PARENTAL CARE

2013 ◽  
Vol 06 (02) ◽  
pp. 1350006 ◽  
Author(s):  
GBENGA JACOB ABIODUN ◽  
NIZAR MARCUS ◽  
KAZEEM OARE OKOSUN ◽  
PETER JOSEPH WITBOOI
Keyword(s):  
Mathematical Model ◽  
Parental Care ◽  
Optimal Strategies ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Qualitative And Quantitative ◽  
Aids Epidemic ◽  
Quantitative Analyses ◽  
Disease Free ◽  
Hiv Aids

In this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the immigrant youths and how parental care can minimize or prevent the spread of the disease in the population. We analyze the model with both screening control and parental care, then investigate its stability and sensitivity behavior. We also conduct both qualitative and quantitative analyses. It is observed that in the absence of infected youths, disease-free equilibrium is achievable and is globally asymptotically stable. We establish optimal strategies for the control of the disease with screening and parental care, and provide numerical simulations to illustrate the analytic results.

scholarly journals Mathematical Model of the Effect of Complacency in HIV/AIDS Preventions

2014 ◽  
Vol 10 (6) ◽  
pp. 30-33
Author(s):  
Udofia, EkereSunday ◽  
◽  
Sampson Marshal Imeh
Keyword(s):  
Mathematical Model ◽  
Hiv Aids

Mathematical modeling of the HIV/AIDS epidemic in Cuba

2015 ◽  
Vol 08 (04) ◽  
pp. 1550047 ◽  
Author(s):  
Antonio Mastroberardino ◽  
Yuanji Cheng ◽  
Ahmed Abdelrazec ◽  
Hao Liu
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Stability Analysis ◽  
Nonlinear System ◽  
Transmission Dynamics ◽  
Nonlinear Mathematical Model ◽  
Aids Epidemic ◽  
National Prevention ◽  
Mode Of Transmission ◽  
Hiv Aids

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.

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