A stochastic threshold for an epidemic model with Beddington–DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation

2018 ◽  
Vol 507 ◽  
pp. 312-320 ◽  
Author(s):  
Badr-eddine Berrhazi ◽  
Mohamed El Fatini ◽  
Aziz Laaribi
Keyword(s):  
Epidemic Model ◽  
Lévy Noise ◽  
Noise Perturbation ◽  
Levy Noise

Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation

2019 ◽  
Vol 12 (03) ◽  
pp. 1950037 ◽  
Author(s):  
Badr-Eddine Berrhazi ◽  
Mohamed El Fatini ◽  
Roger Pettersson ◽  
Aziz Laaribi
Keyword(s):  
Epidemic Model ◽  
Media Coverage ◽  
Deterministic Model ◽  
Dynamic Properties ◽  
Lévy Noise ◽  
Noise Perturbation ◽  
Global Positive Solution ◽  
Levy Noise ◽  
Theoretical Results ◽  
Disease Free

In this paper, we study the dynamic properties of an SIRI epidemic model incorporating media coverage, and stochastically perturbed by a Lévy noise. We establish the existence of a unique global positive solution. We investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model depending on the basic reproduction number under some noise excitation. Furthermore, we present some numerical simulations to support the theoretical results.

Lévy noise perturbation for an epidemic model with impact of media coverage

Stochastics ◽  
2019 ◽  
Vol 91 (7) ◽  
pp. 998-1019 ◽  
Author(s):  
Mohamed El Fatini ◽  
Aziz Laaribi ◽  
Roger Pettersson ◽  
Regragui Taki
Keyword(s):  
Epidemic Model ◽  
Media Coverage ◽  
Lévy Noise ◽  
Noise Perturbation ◽  
Levy Noise

A stochastic vaccinated epidemic model incorporating Lévy processes with a general awareness-induced incidence

2021 ◽  
pp. 2150044
Author(s):  
Khadija Akdim ◽  
Adil Ez-Zetouni ◽  
Mehdi Zahid
Keyword(s):  
Numerical Simulations ◽  
Positive Solution ◽  
Dynamic Behavior ◽  
Epidemic Model ◽  
Equilibrium Points ◽  
Sufficient Conditions ◽  
Lévy Noise ◽  
Global Positive Solution ◽  
Levy Noise ◽  
Disease Free

In this paper, we investigate a stochastic vaccinated epidemic model with a general awareness-induced incidence perturbed by Lévy noise. First, we show that this model has a unique global positive solution. Therefore, we establish the dynamic behavior of the solution around both disease-free and endemic equilibrium points. Furthermore, when [Formula: see text], we give sufficient conditions for the existence of an ergodic stationary distribution to the model when the jump part in the Lévy noise is null. Finally, we present some examples to illustrate the analytical results by numerical simulations.

A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise

2017 ◽  
Vol 105 ◽  
pp. 60-68 ◽  
Author(s):  
Badr-eddine Berrhazi ◽  
Mohamed El Fatini ◽  
Aziz Laaribi ◽  
Roger Pettersson ◽  
Regragui Taki
Keyword(s):  
Epidemic Model ◽  
Media Coverage ◽  
Lévy Noise ◽  
Sirs Epidemic Model ◽  
Levy Noise ◽  
Stochastic Sirs Epidemic Model

Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation

2019 ◽  
Vol 523 ◽  
pp. 677-690 ◽  
Author(s):  
Tomás Caraballo ◽  
Adel Settati ◽  
Mohamed El Fatini ◽  
Aadil Lahrouz ◽  
Abdelouahid Imlahi
Keyword(s):  
Global Stability ◽  
Lévy Noise ◽  
Sis Model ◽  
Positive Recurrence ◽  
Noise Perturbation ◽  
Levy Noise ◽  
Stochastic Sis Model

Analysis of a hybrid switching SVIR epidemic model with vaccination and Lévy noise

2020 ◽  
Vol 537 ◽  
pp. 122749
Author(s):  
Zhongwei Cao ◽  
Yuee Shi ◽  
Xiangdan Wen ◽  
Liya Liu ◽  
Jingwei Hu
Keyword(s):  
Epidemic Model ◽  
Lévy Noise ◽  
Levy Noise ◽  
Hybrid Switching

scholarly journals A stochastic SIRI epidemic model with Lévy noise

2018 ◽  
Vol 23 (6) ◽  
pp. 2415-2431 ◽  
Author(s):  
Badr-eddine Berrhazi ◽  
◽  
Mohamed El Fatini ◽  
Tomás Caraballo ◽  
Roger Pettersson ◽  
...  
Keyword(s):  
Epidemic Model ◽  
Lévy Noise ◽  
Levy Noise
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