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

作　　者：Khadija Akdim 

机构地区：[1]Department of Mathematics,Faculty of Sciences and Technology Cadi Ayyad University,B.P.549,Marrakesh C.P.40.000 Morocco

出　　处：《International Journal of Biomathematics》2021年第6期189-216,共28页生物数学学报（英文版）

基　　金：supported by CNRST “Centre National pour la Recherche Scien-tifique et Technique”,No.I003/018,Rabat,Morocco.

摘　　要：In this paper,we investigate a stochastic vaccinated epidemic model with a general awareness-induced incidence perturbed by Levy 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 R_(0)>1,we give sufficient conditions for the existence of an ergodic stationary distribution to the model when the jump part in the Levy noise is null.Finally,we present some examples to illustrate the analytical results by numerical simulations.

关 键 词：Epidemic model VACCINATION media awareness Levy process. 

分 类 号：O17[理学—数学]