A stochastic threshold of a delayed epidemic model incorporating Levy processes with harmonic mean and vaccination  

作　　者：Mohamed El Fatini Idriss Sekkak Aziz Laaribi Roger Pettersson Kai Wang 

机构地区：[1]Laboratory of PDE’s,Algebra and Spectral Geometry Faculty of Sciences,Ibn Tofail University BP 133,Kenitra,Morocco [2]Department of Mathematics,Sultan Moulay Slimane University Beni Mellal,Morocco [3]Department of Mathematics,Linnaeus University 35195 Vaxjo,Sweden [4]Department of Applied Mathematics Anhui University of Finance and Economics Bengbu 233030,P.R.China

出　　处：《International Journal of Biomathematics》2020年第7期297-323,共27页生物数学学报（英文版）

摘　　要：The aim of this paper is to investigate a stochastic threshold for a delayed epidemic model driven by Levy noise with a nonlinear incidence and vaccination.Mainly,we derive a stochastic threshold 77s which depends on model parameters and stochastic coefficients for a better understanding of the dynamical spreading of the disease.First,we prove the well posedness of the model.Then,we study the extinction and the persistence of the disease according to the values of TZS.Furthermore,using different scenarios of Tuberculosis disease in Morocco,we perform some numerical simulations to support the analytical results.

关 键 词：DYNAMICS Levy process delayed model stochastic threshold 

分 类 号：O17[理学—数学]