The modeling dynamics of HIV and CD4\(^{+}\) T-cells during primary infection in fractional order: numerical simulation

DOI10.1007/s00009-018-1178-9zbMath1395.65130OpenAlexW2806941034MaRDI QIDQ723868

Mohamed M. Khader

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1178-9

zbMATH Keywords

stability analysisCaputo fractional derivativeAdams-Bashforth-Moulton methodfractional HIV-1 infection of CD4\(^{+}\) T-cells modelRK4

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Cell biology (92C37) Approximation by other special function classes (41A30) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (4)

Stability analysis of the HIV model through incommensurate fractional-order nonlinear system ⋮ Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control ⋮ Structure preserving numerical analysis of HIV and CD4+T-cells reaction diffusion model in two space dimensions ⋮ Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD\(4^+\) T-cells considering the impact of antiviral drug treatment

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