activity
20202022
most citedLyapunov functions for fractional-order systems in biology: methods and applications

93 citations · 212 across the 6 of their papers we have counts for

collaborators

6 papers

math.DS2022★ 12 cited

Lyapunov Functions and Stability Analysis of Fractional-Order Systems

Adnane Boukhouima, Houssine Zine, El Mehdi Lotfi +3

This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to…

q-bio.PE2021★ 41 cited

Modeling and Forecasting of COVID-19 Spreading by Delayed Stochastic Differential Equations

Marouane Mahrouf, Adnane Boukhouima, Houssine Zine +3

The novel coronavirus disease (COVID-19) pneumonia has posed a great threat to the world recent months by causing many deaths and enormous economic damage worldwide. The first case…

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…

q-bio.PE2020★ 30 cited

A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy

Houssine Zine, Adnane Boukhouima, El Mehdi Lotfi +3

Coronavirus disease 2019 (COVID-19) poses a great threat to public health and the economy worldwide. Currently, COVID-19 evolves in many countries to a second stage, characterized…

q-bio.PE2020★ 2 cited

Modeling the spread of COVID-19 pandemic in Morocco

Houssine Zine, El Mehdi Lotfi, Marouane Mahrouf +5

Nowadays, coronavirus disease 2019 (COVID-19) poses a great threat to public health and economy worldwide. Unfortunately, there is yet no effective drug for this disease. For this,…

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…