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Global Analysis of a Multi-scale HIV/AIDS Model with Different Treatment Strategies

In this study, mathematical models are developed to explore how viral load variability caused by treatment can influence the prevalence of HIV. Density-independent and dependent treatment strategies are considered. If the density-independent treatment is employed, a global forward bifurcation alone can entirely determine the dynamical behavior of the model. If we introduce the density-dependent treatment, model behaviors tend to be rather complex. In this case, backward bifurcations are possible. Thus, the outcomes are also a function of initial data. For both kinds of models, it is shown that HIV treatments may increase the basic control number, thus, increasing the spread of HIV infections. Using HIV/AIDS mortality data of China, we estimate a part of our parameters. The model results support the conclusion that the HIV/AIDS mortality of China will continue increasing if there is no change in the control strategy.

Article Number: MTBI-12-06

Year: 2015

Authors:
Peipei Hu - Shanghai University 
Fereshteh Nazari - Arizona State University 
Okuneye Kamaldeen - Arizona State University 
Baojun Song - Monticlair State University

multiscale_hiv_with_differnet_treatment_strategies.pdf