Abdelkader Lakmeche

Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors

In this paper, we deal with a nonlinear impulsive differential equations modelling the chemotherapy of a heterogeneous tumor. We consider the case of several drugs with instantaneous effects. We take into account the interactions between sensitive cells and drug resistant cells. We are interested in the stability of the disease. We also study the loss of stability and the bifurcation of nontrivial solutions.

Stability analysis of a steady state of a model describing Alzheimer’s disease and interactions with prion proteins

Alzheimer’s disease (AD) is a neuro-degenerative disease affecting more than 46 million people worldwide in 2015. AD is in part caused by the accumulation of A

PERIODIC POSITIVE SOLUTIONS OF A DISCRETE FOOD CHAIN PREDATOR-PREY MODEL

\beta

Alzheimer's disease and prion: analysis of an in vitro mathematical model

β peptides inside the brain. These can aggregate to form insoluble oligomers or fibrils. Oligomers have the capacity to interact with neurons via membrane receptors such as prion proteins (

Leukemia mathematical model

\hbox {PrP}^\mathrm{{C}}

Impulsive prion disease model

PrPC). This interaction leads