Stochastic sirs model driven by lévy noise

2016 ◽  
Vol 36 (3) ◽  
pp. 740-752 ◽  
Author(s):  
Xianghua ZHANG ◽  
Fu CHEN ◽  
Ke WANG ◽  
Hong DU
Keyword(s):  
Lévy Noise ◽  
Model Driven ◽  
Sirs Model ◽  
Levy Noise

scholarly journals Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise

2015 ◽  
Vol 15 (02) ◽  
pp. 1550011
Author(s):  
Gabriel Deugoué ◽  
Mamadou Sango
Keyword(s):  
Strong Solution ◽  
Strong Solutions ◽  
Lévy Noise ◽  
Mean Square ◽  
Stability Of Solutions ◽  
Model Driven ◽  
The Mean ◽  
The Stability ◽  
Non Gaussian ◽  
Levy Noise

We establish the existence, uniqueness and approximation of the strong solutions for the stochastic 3D LANS-α model driven by a non-Gaussian Lévy noise. Moreover, we also study the stability of solutions. In particular, we prove that under some conditions on the forcing terms, the strong solution converges exponentially in the mean square and almost surely exponentially to the stationary solution.

An ergodic theorem of a parabolic Anderson model driven by Lévy noise

2011 ◽  
Vol 6 (6) ◽  
pp. 1147-1183
Author(s):  
Yong Liu ◽  
Jianglun Wu ◽  
Fengxia Yang ◽  
Jianliang Zhai
Keyword(s):  
Ergodic Theorem ◽  
Anderson Model ◽  
Lévy Noise ◽  
Parabolic Anderson Model ◽  
Model Driven ◽  
Levy Noise

A stochastic viral infection model driven by Lévy noise

2018 ◽  
Vol 114 ◽  
pp. 446-452 ◽  
Author(s):  
Badr-eddine Berrhazi ◽  
Mohamed El Fatini ◽  
Aziz Laaribi ◽  
Roger Pettersson
Keyword(s):  
Viral Infection ◽  
Lévy Noise ◽  
Infection Model ◽  
Model Driven ◽  
Levy Noise ◽  
Viral Infection Model

scholarly journals Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Yanchao Zang ◽  
Junping Li ◽  
Jiangang Liu
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solution ◽  
Sufficient Conditions ◽  
Competition Model ◽  
Lévy Noise ◽  
Model Driven ◽  
Global Positive Solution ◽  
The Mean ◽  
Pathwise Estimation ◽  
Levy Noise

The nonautonomous stochastic Gilpin-Ayala competition model driven by Lévy noise is considered. First, it is shown that this model has a global positive solution. Then, we discuss the asymptotic behavior of the solution including moment and pathwise estimation. Finally, sufficient conditions for extinction, nonpersistence in the mean, and weak persistence of the solution are established.

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