ArticleChaos, solitons, and fractals2021
A fractional-order model for COVID-19 and tuberculosis co-infection using Atangana-Baleanu derivative.
Article in Chaos, solitons, and fractals, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers, 1 of them a synthesis that pooled it.
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Who cites it
18 citing papers in PubMed, 1 synthesis or guideline pooled it, 85 citations in OpenAlex.
- Mathematical models for dengue fever epidemiology: A 10-year systematic review.Physics of life reviews · 2022Pooled it
- Modelling TB-HIV co-infection and evaluating intervention strategies in Thailand.BMC infectious diseases · 2026Article
- Analysis of drug-resistant tuberculosis transmission dynamics in China using fractional stochastic model.PloS one · 2025Article
- 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
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- Co-dynamics of COVID-19 and TB with COVID-19 vaccination and exogenous reinfection for TB: An optimal control application.Infectious Disease Modelling · 2023Article
- A mathematical model for the co-dynamics of COVID-19 and tuberculosis.Mathematics and computers in simulation · 2023Article
- Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination.Acta biotheoretica · 2023Article
- Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2.Mathematics and computers in simulation · 2023Article
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- Bifurcation and optimal control analysis of HIV/AIDS and COVID-19 co-infection model with numerical simulation.PloS one · 2023Article
- Fractal-fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics.Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters · 2022Article
- Article
- Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives.Chaos, solitons, and fractals · 2022Article
- Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV.Results in physics · 2022Article
- On fractal-fractional Covid-19 mathematical model.Chaos, solitons, and fractals · 2022Article
- HIV and COVID-19 co-infection: A mathematical model and optimal control.Informatics in medicine unlocked · 2022Article
- New nonlinear model of population growth.PloS one · 2017Article
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Authors and funding
3 authors at 2 institutions in 3 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This paper considers and analyzes a fractional order model for COVID-19 and tuberculosis co-infection, using the Atangana-Baleanu derivative. The existence and uniqueness of the model solutions are established by applying the fixed point theorem. It is shown that the model is locally asymptotically stable when the reproduction number is less than one. The global stability analysis of the disease free equilibrium points is also carried out. The model was simulated using data relevant to both diseases in New Delhi, India. Fitting the model to the cumulative confirmed COVID-19 cases for New Delhi from March 1, 2021 to June 26, 2021, COVID-19 and TB contact rates and some other important parameters of the model are estimated. The numerical method used combines the two-step Lagrange polynomial and the fundamental theorem of fractional calculus and has been shown to be highly accurate and efficient, user-friendly and converges quickly to the exact solution even with a large step of discretization. Simulations of the Fractional order model revealed that reducing the risk of COVID-19 infection by latently-infected TB individuals will not only bring down the burden of COVID-19, but will also reduce the co-infection of both diseases in the population. Also, the conditions for the co-existence or elimination of both diseases from the population are established.
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