Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative

DOI10.1080/23311835.2018.1432521zbMath1438.92079OpenAlexW2785557465MaRDI QIDQ5193228

Sajjad Ali Khan, Gul Zaman, Samia Bushnaq, Kamal Shah

Publication date: 10 September 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2018.1432521

zbMATH Keywords

existence and uniquenessCaputo-Fabrizio derivativeSumudu transformHIV/AIDS model

Mathematics Subject Classification ID

Epidemiology (92D30) Fractional derivatives and integrals (26A33) Stability of solutions to ordinary differential equations (34D20)

Related Items (11)

Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD\(4^+\) T-cells considering the impact of antiviral drug treatment ⋮ Study of fractional order SEIR epidemic model and effect of vaccination on the spread of COVID-19 ⋮ Transmission dynamics of fractional order yellow virus in red chili plants with the Caputo-Fabrizio operator ⋮ Stability analysis of fractional order modelling of social media addiction ⋮ A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation ⋮ Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey ⋮ Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense ⋮ Memory and media coverage effect on an HIV/AIDS epidemic model with treatment ⋮ An analysis of tuberculosis model with exponential decay law operator ⋮ On coupled systems of fractional impulsive differential equations by using a new Caputo-Fabrizio fractional derivative ⋮ A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control

Cites Work

• Analysis of the Keller-Segel model with a fractional derivative without singular kernel
• Stability analysis of an HIV/AIDS epidemic model with treatment
• A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
• The fractional-order SIS epidemic model with variable population size
• Stability analysis for nonlinear fractional-order systems based on comparison principle
• Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
• Optimal control strategy of HIV-1 epidemic model for recombinant virus

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