Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives

A new non-integer order mathematical model for SARS-CoV-2, Dengue and HIV co-dynamics is designed and studied. The impact of SARS-CoV-2 infection on the dynamics of dengue and HIV is analyzed using the tools of fractional calculus. The existence and uniqueness of solution of the proposed model are established employing well known Banach contraction principle. The Ulam-Hyers and generalized Ulam-Hyers stability of the model is also presented. We have applied the Laplace Adomian decomposition method to investigate the model with the help of three different fractional derivatives, namely: Caputo, Caputo-Fabrizio and Atangana-Baleanu deriv-atives. Stability analyses of the iterative schemes are also performed. The model fitting using the three fractional derivatives was carried out using real data from Argentina. Simulations were performed with each non-integer derivative and the results thus obtained are compared. Furthermore, it was concluded that efforts to keep the spread of SARS-CoV-2 low will have a significant impact in reducing the co-infections of SARS-CoV-2 and dengue or SARS-COV-2 and HIV. We also highlighted the impact of three different fractional derivatives in analyzing complex models dealing with the co-dynamics of different diseases.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

A new mathematical model using non-integer order calculus is proposed to analyze the dynamics of SARS-CoV-2, Dengue, and HIV. The model's existence and uniqueness of solution are established, and its stability is analyzed. Different fractional derivatives are used to investigate the model, and simulations with real data from Argentina are conducted. The study concludes that controlling the spread of SARS-CoV-2 can significantly reduce co-infections with Dengue or HIV.