1. Route to Chaos in a Nonlinear Model of HIV Dynamics with Antiretroviral Treatment
- Author
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Lorena de Sousa Moreira, Ronni G. G. Amorim, and Rodrigo Andres Miranda Cerda
- Subjects
animal structures ,Statistics::Applications ,Computer science ,Dynamics (mechanics) ,Human immunodeficiency virus (HIV) ,Chaotic ,medicine.disease_cause ,Quantitative Biology::Cell Behavior ,Nonlinear system ,Control theory ,Nonlinear model ,Antiretroviral treatment ,medicine ,Quantitative Biology::Populations and Evolution ,Hiv treatment ,T4 Lymphocytes - Abstract
Here we present a numerical study of a nonlinear model of HIV dynamics. The model describes the dynamics of T4 lymphocytes cells, HIV virus and opportunistic infection, and includes the effect of HIV treatment. We show that, as the efficacy of the antiretroviral treatment is reduced, the model display a transition from orderly to chaotic dynamics via a period-doubling cascade. The chaotic regime is interrupted by regions of periodic dynamics known as periodic windows.
- Published
- 2019
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