Effects of two types of noise and switching on the asymptotic dynamics of an epidemic model

作者: Wei Xu , Xi-Ying Wang , Xin-Zhi Liu

DOI: 10.1088/1674-1056/24/5/050204

关键词:

摘要: This paper mainly investigates dynamics behavior of HIV (human immunodeficiency virus) infectious disease model with switching parameters, and combined bounded noise Gaussian white noise. is different from existing models. Based on stochastic It? lemma Razumikhin-type approach, some threshold conditions are established to guarantee the eradication or persistence. Results show that smaller amplitude R?0 1 Moreover, it found larger intensity suppresses prevalence even if > 1. Some numerical examples given verify obtained results.

参考文章(28)
Pengmiao Hao, Dejun Fan, Junjie Wei, Qinghe Liu, Dynamic behaviors of a delayed HIV model with stage-structure Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 4753- 4766 ,(2012) , 10.1016/J.CNSNS.2012.04.004
M. A. Nowak, C. R. M. Bangham, Population dynamics of immune responses to persistent viruses. Science. ,vol. 272, pp. 74- 79 ,(1996) , 10.1126/SCIENCE.272.5258.74
A.A.M. Arafa, S.Z. Rida, M. Khalil, The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model Applied Mathematical Modelling. ,vol. 37, pp. 2189- 2196 ,(2013) , 10.1016/J.APM.2012.05.002
Zaitang Huang, Qigui Yang, Junfei Cao, Complex dynamics in a stochastic internal HIV model Chaos Solitons & Fractals. ,vol. 44, pp. 954- 963 ,(2011) , 10.1016/J.CHAOS.2011.07.017
Henry C. Tuckwell, Emmanuelle Le Corfec, A Stochastic Model for Early HIV-1 Population Dynamics Journal of Theoretical Biology. ,vol. 195, pp. 451- 463 ,(1998) , 10.1006/JTBI.1998.0806
A. S. Perelson, A. U. Neumann, M. Markowitz, J. M. Leonard, D. D. Ho, HIV-1 Dynamics in Vivo: Virion Clearance Rate, Infected Cell Life-Span, and Viral Generation Time Science. ,vol. 271, pp. 1582- 1586 ,(1996) , 10.1126/SCIENCE.271.5255.1582
Patrick W. Nelson, Alan S. Perelson, Mathematical analysis of delay differential equation models of HIV-1 infection Bellman Prize in Mathematical Biosciences. ,vol. 179, pp. 73- 94 ,(2002) , 10.1016/S0025-5564(02)00099-8
Alan S. Perelson, Patrick W. Nelson, Mathematical Analysis of HIV-1 Dynamics in Vivo SIAM Review. ,vol. 41, pp. 3- 44 ,(1999) , 10.1137/S0036144598335107
Sebastiano de Franciscis, Giulio Caravagna, Alberto d’Onofrio, Bounded noises as a natural tool to model extrinsic fluctuations in biomolecular networks Natural Computing. ,vol. 13, pp. 297- 307 ,(2014) , 10.1007/S11047-014-9424-Y