Analysis of HIV-1 dynamics under various HAART regimens for stability

Abstract

This article delves into the realm of HIV research, focusing on mathematical models utilizing Delay Differential Equations (DDEs). Specifically, the study examines a distinct category of these models, emphasizing the identification of the bifurcation parameter within DDEs to ascertain the steady state of the system. The analysis extends to incorporate variable constant delays, addressing the critical issue of system stability. The primary objective is to establish a balanced condition by considering various factors such as local and global asymptotic states, the bifurcation parameter, and its sensitivity. The study employs a comprehensive approach, taking into account the intricate interplay of these factors to draw meaningful conclusions based on stability data. The investigation highlights the achievement of a disease-free equilibrium through the application of bifurcation analysis. The article showcases the improvement of the global stability of this equilibrium, underscoring the significance of the obtained results. By navigating through the complexities of HIV models using DDEs, this research contributes valuable insights into understanding the dynamics of the disease, with potential implications for informing intervention and treatment strategies.