41 citations · 114 across the 11 of their papers we have counts for
11 papers
A Necessary Optimality Condition for Extended Weighted Generalized Fractional Optimal Control Problems
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres +1
Using the recent weighted generalized fractional order operators of Hattaf, a general fractional optimal control problem without constraints on the values of the control functions…
Near-optimal control of a stochastic SICA model with imprecise parameters
Houssine Zine, Delfim F. M. Torres
An adequate near-optimal control problem for a stochastic SICA (Susceptible-Infected-Chronic-AIDS) compartmental epidemic model for HIV transmission with imprecise parameters is fo…
Mathematical Analysis, Forecasting and Optimal Control of HIV/AIDS Spatiotemporal Transmission with a Reaction Diffusion SICA Model
Houssine Zine, Abderrahim El Adraoui, Delfim F. M. Torres
We propose a mathematical spatiotemporal epidemic SICA model with a control strategy. The spatial behavior is modeled by adding a diffusion term with the Laplace operator, which is…
Weighted Generalized Fractional Integration by Parts and the Euler-Lagrange Equation
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres +1
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control. Mot…
A Stochastic Capital-Labour Model with Logistic Growth Function
Houssine Zine, Jaouad Danane, Delfim F. M. Torres
We propose and study a stochastic capital-labour model with logistic growth function. First, we show that the model has a unique positive global solution. Then, using the Lyapunov…
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…
Stochastic SICA Epidemic Model with Jump Lévy Processes
Houssine Zine, Jaouad Danane, Delfim F. M. Torres
We propose and study a shifted SICA epidemic model, extending the one of Silva and Torres (2017) to the stochastic setting driven by both Brownian motion processes and jump Lévy no…
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…
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…
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,…
A Stochastic Fractional Calculus with Applications to Variational Principles
Houssine Zine, Delfim F. M. Torres
We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations…