25 citations · 33 across the 4 of their papers we have counts for
4 papers
An optimal control study for a two-strain SEIR epidemic model with saturated incidence rates and treatment
Karam Allali, Mouhamadou A. M. T. Balde, Babacar M. Ndiaye
This work will study an optimal control problem describing the two-strain SEIR epidemic model. The studied model is in the form of six nonlinear differential equations illustrating…
Optimal control of an HIV model with a trilinear antibody growth function
Karam Allali, Sanaa Harroudi, Delfim F. M. Torres
We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and…
Analysis and optimal control of an intracellular delayed HIV model with CTL immune response
Karam Allali, Sanaa Harroudi, Delfim F. M. Torres
A delayed model describing the dynamics of HIV (Human Immunodeficiency Virus) with CTL (Cytotoxic T Lymphocytes) immune response is investigated. The model includes four nonlinear…
Numerical Simulations of Heat Explosion With Convection In Porous Media
Karam Allali, Fouad Bikany, Ahmed Taik +1
In this paper we study the interaction between natural convection and heat explosion in porous media. The model consists of the heat equation with a nonlinear source term describin…