Impacts of non-locality and memory kernel of fractional derivative, awareness and treatment strategies on HIV/AIDS prevalence

Silajit Kar, Dilip K. Maiti and Atasi Patra Maiti

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: We propose a Liouville–Caputo non-linear fractional order α(0<α≤1) epidemic model to understand the transmission dynamics of infectious diseases, like HIV/AIDS, and explore the presence of memory kernel of fractional derivative for the precautionary measure against the transmission of disease to control HIV/AIDS prevalence. A proper sex education, which depends on number of HIV and AIDS, to unaware susceptible as well as fear of infection among these aware susceptible are employed here. Treatment compartment is incorporated to treat the symptomatic HIV and AIDS infected individuals.

Keywords: HIV/AIDS prevalence; Non-locality and memory kernel of fractional derivative; Stability analysis; Transition phase; Disease transmission; Caputo fractional derivative (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012912

DOI: 10.1016/j.chaos.2023.114389

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