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El Mehdi Lotfi

Publications (3)

Global Dynamics and Traveling Waves of a Delayed Diffusive Epidemic Model with Specific Nonlinear Incidence Rate

El Mehdi Lotfi, Khalid Hattaf & Noura Yousfi · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, we investigate the global stability and the existence of traveling waves for a delayed diffusive epidemic model. The disease transmission process is modeled by a specific nonlinear function that covers many common types of incidence rates. In addition, the global s...

Open access Research Article 10.9734/BJMCS/2017/30573

Impact of Delay in Immune Response Activation on HIV Infection Dynamics

Mehdi Maziane, El Mehdi Lotfi, Khalid Hattaf & Noura Yousfi · Journal of Advances in Mathematics and Computer Science · 2017

In this work, we propose an HIV infection model with cure of infected cells in eclipse stage and delay in the activation of immune response. The stability of the equilibria and the existence of the Hopf bifurcation are investigated. Moreover, numerical simulations are carried out...

Open access Research Article 10.9734/BJMCS/2017/30819

Stability Analysis for Stochastic Differential Equations in Virology

Marouane Mahrouf, El Mehdi Lotfi, Mehdi Maziane, Khalid Hattaf & Noura Yousfi · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, we propose a viral infection model governed by three stochastic differential equations. The global existence and positivity of solutions is investigated. Further, we give sufficient conditions for the stability in probability of the endemic equilibrium by using the...

Open access Research Article 10.9734/BJMCS/2017/30345