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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 91, 2019 - Issue 7: Hammamet Stochastic Analysis 2017
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Articles

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

Mohamed El FatiniFS, Department of Mathematics, Ibn Tofail University, Kénitra, MoroccoCorrespondence[email protected]
,
Aziz LaaribiPolydisciplinary Faculty, Sultan Moulay Slimane University, Beni Mellal, Morocco
,
Roger PetterssonDepartment of Mathematics, Linnaeus University, Växjö, Sweden
&
Regragui TakiFS, Department of Mathematics, Ibn Tofail University, Kénitra, Morocco
Pages 998-1019 | Received 29 Jan 2018, Accepted 12 Mar 2019, Published online: 24 Mar 2019

Citations (15)

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Read on this site (3)

Amine EL Koufi, Jihad Adnani, Abdelkrim Bennar & Noura Yousfi. (2022) Dynamics of a stochastic SIR epidemic model driven by Lévy jumps with saturated incidence rate and saturated treatment function. Stochastic Analysis and Applications 40:6, pages 1048-1066.
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Hong Yang & Zhen Jin. (2022) Stochastic SIS epidemic model on network with Lévy noise. Stochastic Analysis and Applications 40:3, pages 520-538.
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Mohamed El Fatini & Brahim Boukanjime. (2020) Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission. Stochastic Analysis and Applications 38:3, pages 387-402.
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Articles from other publishers (12)

Sanae El Attouga, Driss Bouggar, Mohamed El Fatini, Astrid Hilbert & Roger Pettersson. (2023) Lévy noise with infinite activity and the impact on the dynamic of an SIRS epidemic model. Physica A: Statistical Mechanics and its Applications 618, pages 128701.
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Yu Zhu, Liang Wang & Zhipeng Qiu. (2022) Dynamics of a stochastic cholera epidemic model with Lévy process. Physica A: Statistical Mechanics and its Applications 595, pages 127069.
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Regragui Taki, Mohamed El Fatini, Mohamed El Khalifi, Mohammed Lakhal & Kai Wang. (2021) Understanding death risks of Covid-19 under media awareness strategy: a stochastic approach. The Journal of Analysis 30:1, pages 79-99.
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Rajasekar S. P., Pitchaimani M. & Quanxin Zhu. (2021) Higher order stochastically perturbed SIRS epidemic model with relapse and media impact. Mathematical Methods in the Applied Sciences 45:2, pages 843-863.
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Andrés Ríos-Gutiérrez, Soledad Torres & Viswanathan Arunachalam. (2021) Studies on the basic reproduction number in stochastic epidemic models with random perturbations. Advances in Difference Equations 2021:1.
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Khadija Akdim, Adil Ez-Zetouni & Mehdi Zahid. (2021) A stochastic vaccinated epidemic model incorporating Lévy processes with a general awareness-induced incidence. International Journal of Biomathematics 14:06, pages 2150044.
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A. Settati, A. Lahrouz, M. Zahri, A. Tridane, M. El Fatini, H. El Mahjour & M. Seaid. (2021) A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate. Chaos, Solitons & Fractals 144, pages 110690.
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Riane Hajjami, Mustapha El Jarroudi, Aadil Lahrouz, Adel Settati, Mohamed EL Fatini & Kai Wang. (2021) Dynamic analysis of an $ SEIR $ epidemic model with a time lag in awareness allocated funds. Discrete & Continuous Dynamical Systems - B 26:8, pages 4191.
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Mohamed El Fatini, Idriss Sekkak, Aziz Laaribi, Roger Pettersson & Kai Wang. (2020) A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination. International Journal of Biomathematics 13:07, pages 2050069.
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A. Settati, A. Lahrouz, A. Assadouq, M. El Fatini, M. El Jarroudi & K. Wang. (2020) The impact of nonlinear relapse and reinfection to derive a stochastic threshold for SIRI epidemic model. Chaos, Solitons & Fractals 137, pages 109897.
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Tomás Caraballo, Mohamed El Fatini, Mohamed El Khalifi, Richard Gerlach & Roger Pettersson. (2020) Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel. Chaos, Solitons & Fractals 133, pages 109643.
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Mohamed El Fatini, Mohamed El Khalifi, Richard Gerlach, Aziz Laaribi & Regragui Taki. (2019) Stationary distribution and threshold dynamics of a stochastic SIRS model with a general incidence. Physica A: Statistical Mechanics and its Applications 534, pages 120696.
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