Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/30341
Title: | Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate |
Author: | Boukhouima, Adnane Lotfi, El Mehdi Mahrouf, Marouane Rosa, Silvério Torres, Delfim F. M. Yousfi, Noura |
Issue Date: | 2021 |
Publisher: | Springer Verlag; EDP Sciences; Società Italiana di Fisica |
Abstract: | We investigate the celebrated mathematical SICA model but using fractional differential equations in order to better describe the dynamics of HIV-AIDS infection. The infection process is modelled by a general functional response, and the memory effect is described by the Caputo fractional derivative. Stability and instability of equilibrium points are determined in terms of the basic reproduction number. Furthermore, a fractional optimal control system is formulated and the best strategy for minimizing the spread of the disease into the population is determined through numerical simulations based on the derived necessary optimality conditions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/30341 |
DOI: | 10.1140/epjp/s13360-020-01013-3 |
ISSN: | 2190-5444 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[471]EPJP-SICA-fractional.pdf | 950.36 kB | Adobe PDF |
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