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Noura Yousfi

Publications (5)

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

Dynamics of Capital-labour Model with Hattaf-Yousfi Functional Response

Driss Riad, Khalid Hattaf & Noura Yousfi · Journal of Advances in Mathematics and Computer Science · 2016

The labour force is a fundamental component of every modern economy. It is also called the workforce that is the total number of the people who are eligible to work, including the employed and unemployed people. The company supplies free jobs which number is proportional to the i...

Open access Research Article 10.9734/BJMCS/2016/28640

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

The Active Model: The Effect of Stiffness on the Maximum Amplitude Displacement of the Basilar Membrane

Fatima-Ezzahra Aboulkhouatem, Fatiha Kouilily, Mohammed EL Khasmi, Naceur Achtaich & Noura Yousfi · Journal of Advances in Mathematics and Computer Science · 2017

The human cochlea is the part of the inner ear where acoustic signals are transformed into neural pulses and then signaled to the brain. The cochlear amplifier is essentially a positive feedback loop within the cochlea that amplifies the traveling wave, this mechanism based on th...

Open access Research Article 10.9734/BJMCS/2017/30856

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