A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies
DOI10.1016/j.chaos.2021.111398zbMath1498.92062OpenAlexW3201999059MaRDI QIDQ2169704
V. M. Martinez, Rubens F. Camargo, A. N. Barbosa, Diego Samuel Rodrigues, Paulo F. A. Mancera
Publication date: 29 August 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111398
parameter estimationfractional calculusantiretroviral therapyhuman immunodeficiency virusCaputo fractional derivativeheat map
Medical applications (general) (92C50) Fractional derivatives and integrals (26A33) Pathology, pathophysiology (92C32)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- HIV-1 infection and low steady state viral loads
- Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
- A numerical algorithm for solving stiff ordinary differential equations
- Parameter identifiability and estimation of HIV/AIDS dynamic models
- A fractional-order differential equation model of HIV infection of \(CD4^{+}\) T-cells
- On the fractional Adams method
- Fractional Adams-Moulton methods
- Mathematical biology of HIV infections: Antigenic variation and diversity threshold
- Optimal control of the chemotherapy of HIV
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Effects of HIV infection on CD4\(^{+}\) T-cell population based on a fractional-order model
- A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Characterizing the next-generation matrix and basic reproduction number in ecological epidemiology
- Estimation of the HIV-1 infection rate and the basic reproductive ratio
- Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
- Modeling and estimation of kinetic parameters and replicative fitness of HIV-1 from flow-cytometry-based growth competition experiments
- A differential equation model of HIV infection of CD4\(^+\) \(T\)-cells with cure rate
- An Algorithm for Least-Squares Estimation of Nonlinear Parameters
- Solving Index-1 DAEs in MATLAB and Simulink
- Mathematical Modelling of HIV Within-Host Evolution
This page was built for publication: A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies