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math.OC2020★ 34 cited
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf +3
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 proc…
math.OC2020★ 93 cited
Lyapunov functions for fractional-order systems in biology: methods and applications
Adnane Boukhouima, Khalid Hattaf, El Mehdi Lotfi +3
We prove new estimates of the Caputo derivative of order for some specific functions. The estimations are shown useful to construct Lyapunov functions for systems of f…