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pro vyhledávání: '"Driss Kiouach"'
Autor:
Driss Kiouach, Yassine Sabbar
Publikováno v:
International Journal of Biomathematics. 14:2150016
This paper presents an SIR epidemic model with two different types of perturbations: white and L\'evy noises. We consecrate to develop a mathematical method to obtain the asymptotic properties of the perturbed model. We use the comparison theorem, mu
Autor:
Yassine Sabbar, Driss Kiouach
Publikováno v:
International Journal of Dynamical Systems and Differential Equations. 10:468
In this work, we analyse a stochastic susceptible-infected-recovered-susceptible (SIRS) epidemic model with vertical transmission and different periods of immunity. This model has a global positive solution. Firstly, we establish sufficient condition
Autor:
Yassine Sabbar, Driss Kiouach
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2018 (2018)
The aim of this paper is to generalize the nonlinear incidence rate of a stochastic SIRS (susceptible-infected-recovered-susceptible) epidemic model. Our basic model was enriched with the hypotheses of vertical transmission and transfer from infected
Publikováno v:
Scopus-Elsevier
Nonlinear Analysis, Vol 16, Iss 1 (2011)
Nonlinear Analysis, Vol 16, Iss 1 (2011)
We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global
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