Stochastic Model for Spread of AIDS Driven by Lévy Noise

被引：0
作者：
Xianghua Zhang
Ke Wang
机构：
[1] Harbin Institute of Technology,School of Management
[2] Heilongjiang University of Science and Technology,College of Science
[3] Harbin Institute of Technology,Department of Mathematics
来源：
Journal of Dynamics and Differential Equations | 2015年 / 27卷
关键词：
Random perturbation; Lévy noise; Global asymptotic stability; AIDS;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
According to the features of the AIDS caused by medical malpractice, the S-DI-R model which is driven by white noise and the Lévy noise jointly is proposed in this paper. Based on the theoretical analysis of the model, the criteria for extinction and persistence of AIDS are obtained.
引用
收藏
页码：215 / 236
页数：21
相关论文
共 19 条
[1]  
Blythe S(1988)Distributed incubation and infections periods in models of transmission dynamics of human immunodeficiency virus (HIV) IMA J. Math. Appl. Med. Biol. 5 1-19
[2]  
Anderson R(1988)Mathematical modelling of the transmission dynamics of HIV infection and AIDS: a review with discussion J. R. Statist. Soc. 151 44-49
[3]  
Isham V(2005)The reproductive number for a HIV model with differential infectivity and staged progression Linear Algebr. Appl. 398 101-116
[4]  
Hyman J(2003)Stability analysis for differential infectivity epidemic models Nonlinear Anal. 4 841-856
[5]  
Li J(2010)The long time behavior of DI SIR epidemic model with stochastic perturbation J. Math. Anal. Appl. 372 162-180
[6]  
Ma Z(1998)A state space model for the HIV epidemic in homosexual populations and some applications Math. Biosci. 152 29-61
[7]  
Liu J(2009)Asymptotic stability of stochastic diffrential equations driven by L J. Appl. Prob. 46 1116-1129
[8]  
Li J(2013)vy noise J. Appl. Math. Lett. 26 867-874
[9]  
Jiang D(2014)Stochastic SIR model with jumps J. Appl. Math. Comput. 239 133-143
[10]  
Ji C(2010)Stochastic SEIR model with jumps Stoch. Process. Appl. 120 622-652
12