ArticleChaos, solitons, and fractals2022
Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives.
Article in Chaos, solitons, and fractals, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Pathogenesis and seroprevalence of dengue virus in HIV-endemic regions: A global perspective.New microbes and new infections · 2025Article
- Article
- Analysis of a non-integer order mathematical model for double strains of dengue and COVID-19 co-circulation using an efficient finite-difference method.Scientific reports · 2023Article
- Modeling the competitive transmission of the Omicron strain and Delta strain of COVID-19.Journal of mathematical analysis and applications · 2023Article
- SARS-CoV-2 infection of polarized human airway epithelium induces necroptosis that causes airway epithelial barrier dysfunction.Journal of medical virology · 2023Article
- Modeling SARS-CoV-2 and HBV co-dynamics with optimal control.Physica A · 2023Article
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Authors and funding
3 authors.
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Abstract
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 derivatives. 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.
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