Memory tracing in fractional-order modeling of HIV/AIDS: Analyzing periodic transmission, anxiety, economic constraints, and treatment barriers

Silajit Kar, Dilip Kumar Maiti and Atasi Patra Maiti

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 242, issue C, 199-229

Abstract: This study introduces a new HIV/AIDS model utilizing the Caputo fractional-order derivative to capture disease dynamics under realistic conditions. The model incorporates media-driven awareness and local communication to inform susceptible populations, while accounting for how psychological anxiety impacts infection rates among aware individuals. We incorporated both fixed and periodic disease transmission rates into our model. It also includes a diagnostic process for identifying CD4+ T cell count in asymptomatic cases, alongside treatment functions that consider medical resource limitations to enhance real-world applicability. An individual’s economic status for accessing treatment is also taken into account. Both sides of the model equations are dimensionally balanced.

Keywords: HIV/AIDS; Memory tracing; L1 scheme; Fractional derivative in caputo sense; Local and global awareness; Spectra analysis; Weighted-time-average; Basic reproduction number (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:242:y:2026:i:c:p:199-229

DOI: 10.1016/j.matcom.2025.11.017

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