2021/03/16 by João Paulo Simões Maurício de Carvalho, de Carvalho, João Paulo Simões Maurício
Medicine · #37M05 #65P99 #65Z05 #92B05 #COVID-19 diagnosis using AI #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Quantitative Methods (q-bio.QM)
paper · pdf · doi:10.48550/arxiv.2103.09053
openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Facing a global challenge with over 6.9 million fatalities, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the causative agent of CoViD-19, demands novel and comprehensive approaches to understand its complex dynamics. This paper introduces a non-integer order model, capturing the intricate interplay between SARS-CoV-2 and the host's cytotoxic T lymphocytes (CTLs) response. Our work reveals a unique parameter space, in which an endemic state of SARS-CoV-2 and a CTL response-free equilibrium can coexist -- a crucial finding in our quest to decipher this pervasive virus. We further explore the basic reproduction number, assessing how different model parameters can potentially inhibit or fuel the infection's progression. Through extensive numerical simulations, we scrutinize the impact of varying the order of the fractional derivative and employing diverse CTL proliferation functions. This study significantly enriches our understanding of CoViD-19 immunopathology, offering invaluable insights that could guide future research and therapeutic strategies.