Model Persistency and Stability Analysis of HIV/AIDS Transmission Dynamics in the Presence of Oral Pre-Exposure Prophylaxis (PrEP) and Antiretroviral Therapy (ART)

2021 ◽  
Author(s):  
Nicholas Opoku ◽  
Rhoda Afutu ◽  
Andrews Adu-Frimpong ◽  
Bernard Effah Nyarko ◽  
John Amoah-Mensah
Keyword(s):  
Stability Analysis ◽  
Antiretroviral Therapy ◽  
Transmission Dynamics ◽  
Exposure Prophylaxis ◽  
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.

Dukungan sosial dan kualitas hidup orang dengan HIV/AIDS

2017 ◽  
Vol 33 (3) ◽  
pp. 147
Author(s):  
Mardia Mardia ◽  
Riris Andono Ahmad ◽  
Bambang Sigit Riyanto
Keyword(s):  
Quality Of Life ◽  
Social Support ◽  
Antiretroviral Therapy ◽  
Social Life ◽  
Opportunistic Infections ◽  
People Living With Hiv ◽  
Hiv Diagnosis ◽  
Criteria For Diagnosis ◽  
Hiv Aids

Purpose: This study aimed to determine the quality of life among people living with HIV/AIDS based on the criteria for diagnosis and other factors.Methods: This study was conducted in the VCT clinic hospital of Dr. Moewardi. The population was HIV-positive patients with antiretroviral therapy. Data collection conducted through medical records and interview to patients. Results: Out of a total of 89 respondents, 66.29% were males and 71.91% were aged between 26-45 years. We found significant correlations for diagnosis of HIV/AIDS, opportunistic infections, time since HIV diagnosis, duration of ARV therapy, social support, modes of transport, sex, age, and marital status with the quality of life. Multivariate analysis obtained by each variable showed the strongest association with the quality of life was time since diagnosis, social support and duration of ARV therapy. Conclusion: The quality of life was better for those who have been diagnosed with HIV/AIDS ≥ 32 months, with social support, and who have been undergoing antiretroviral therapy ≥ 29 months. Improved counseling in the early days of ARV therapy is necessary to always maintain the treatment and provide support for their social life.

scholarly journals Volterra–Lyapunov Stability Analysis of the Solutions of Babesiosis Disease Model

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1272
Author(s):  
Fengsheng Chien ◽  
Stanford Shateyi
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Global Stability ◽  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Disease Model ◽  
Transmission Dynamics ◽  
Global Stability Analysis ◽  
Lyapunov Stability Analysis ◽  
Disease Free

This paper studies the global stability analysis of a mathematical model on Babesiosis transmission dynamics on bovines and ticks populations as proposed by Dang et al. First, the global stability analysis of disease-free equilibrium (DFE) is presented. Furthermore, using the properties of Volterra–Lyapunov matrices, we show that it is possible to prove the global stability of the endemic equilibrium. The property of symmetry in the structure of Volterra–Lyapunov matrices plays an important role in achieving this goal. Furthermore, numerical simulations are used to verify the result presented.

Assessing antiretroviral therapy success in HIV/AIDS morbidity and mortality trends in Brazil, 1990–2017: an interrupted time series study

2020 ◽  
pp. 095646242095298
Author(s):  
Augusto Cesar Lara de Sousa ◽  
Tatiana de Araujo Eleuterio ◽  
José Victor Afonso Coutinho ◽  
Raphael Mendonça Guimarães
Keyword(s):  
Time Series ◽  
Antiretroviral Therapy ◽  
Burden Of Disease ◽  
Interrupted Time Series ◽  
People Living With Hiv ◽  
Disability Adjusted Life Years ◽  
Disability Adjusted Life ◽  
Life Years ◽  
The Impact ◽  
Hiv Aids

To describe the trends of HIV/AIDS metrics related to the burden of disease for Brazil between 1990 and 2017 we conducted a timeseries analysis for HIV/AIDS indicators by extracting data from the Global Burden of Disease study. We calculated traditional prevalence, incidence and mortality rates, the number of years lost by HIV-related deaths (YLL) and disability (YLD), and disability-adjusted life years (DALY). We estimated time series models and assessed the impact of highly active antiretroviral therapy (HAART) on the same indicators. In the set of disability-adjusted life years (DALY), the highest weight of its magnitude was due to YLL. There was a decline, especially after 1996, of DALY, mortality and YLL for HIV/AIDS. However, YLD, incidence, and prevalence increased over the same period. Also, the analysis of interrupted time series showed that the introduction of HAART into health policy had a significant impact on indicators, especially for DALY and YLL. We need to assess the quality of life of people living with HIV, especially among older adults. In addition, we need to focus on primary prevention, emphasizing methods to avoid infection and public policies should reflect this.

Correlation between metabolic syndrome and relative telomere length shortening in HIV/AIDS patients on combined antiretroviral therapy

2021 ◽  
Vol 147 ◽  
pp. 111269
Author(s):  
Gordana Dragović ◽  
Mladen Andjić ◽  
Boško Toljić ◽  
Djordje Jevtović ◽  
Relja Lukić ◽  
...  
Keyword(s):  
Metabolic Syndrome ◽  
Antiretroviral Therapy ◽  
Telomere Length ◽  
Aids Patients ◽  
Relative Telomere Length ◽  
Combined Antiretroviral Therapy ◽  
Hiv Aids
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