Stability of a fractional HIV/AIDS model
arXiv:1903.02534 · doi:10.1016/j.matcom.2019.03.016
Abstract
We propose a fractional order model for HIV/AIDS transmission. Local and uniform stability of the fractional order model is studied. The theoretical results are illustrated through numerical simulations.
arXiv commentThis is a preprint of a paper whose final and definite form is with 'Mathematics and Computers in Simulation', ISSN: 0378-4754. Submitted 21/Jan/2018; Revised 1/Feb/2019; Accepted for publication 1/March/2019. arXiv admin note: text overlap with arXiv:1703.06446, arXiv:1801.07059
References in corpus (6)
- Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model
- A TB-HIV/AIDS coinfection model and optimal control treatment
- A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde
- Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
- Modeling and optimal control of HIV/AIDS prevention through PrEP
- Global Stability for a HIV/AIDS Model
Cited by in corpus (8)
- Lyapunov functions for fractional-order systems in biology: methods and applications
- Mathematical Analysis, Forecasting and Optimal Control of HIV/AIDS Spatiotemporal Transmission with a Reaction Diffusion SICA Model
- On SICA models for HIV transmission
- The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems
- Model-free based control of a HIV/AIDS prevention model
- Study of a Fractional Creep Problem with Multiple Delays in Terms of Boltzmann's Superposition Principle
- A Caputo based SIRS and SIS fractional order models with standard incidence rate and varying population
- Near-optimal control of a stochastic SICA model with imprecise parameters