Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
arXiv:2012.04819 · doi:10.1140/epjp/s13360-020-01013-3
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.
arXiv commentThis is a preprint of a paper whose final and definite form is with 'The European Physical Journal Plus', E-ISSN 2190-5444. Submitted: 02-Feb-2020 / Revised: 20-Oct-2020 and 24-Nov-2020 / Accepted: 08-Dec-2020
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