A Fractional-Order Model for Zika Virus Infection with Multiple Delays

作者: R. Rakkiyappan , V. Preethi Latha , Fathalla A. Rihan

DOI: 10.1155/2019/4178073

关键词:

摘要: Time delays and fractional order play a vital role in biological systems with memory. In this paper, we propose an epidemic model for Zika virus infection using delay differential equations order. Multiple time are incorporated the to consider latency of vector infected host. We investigate necessary sufficient conditions stability steady states Hopf bifurcation respect three , . The undergoes at threshold parameters Some numerical simulations given show effectiveness obtained results. confirm that combination effectively enriches dynamics strengthens condition model.

参考文章(37)
Linli Zhang, Gang Huang, Anping Liu, Ruili Fan, Stability Analysis for a Fractional HIV Infection Model with Nonlinear Incidence Discrete Dynamics in Nature and Society. ,vol. 2015, pp. 1- 11 ,(2015) , 10.1155/2015/563127
Werapong Sakdanupaph, Elvin J. Moore, George Maroulis, Theodore E. Simos, A Delay Differential Equation Model for Dengue Fever Transmission in Selected Countries of South‐East Asia COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008). ,vol. 1148, pp. 816- 819 ,(2009) , 10.1063/1.3225441
Hui-Ming Wei, Xue-Zhi Li, Maia Martcheva, An epidemic model of a vector-borne disease with direct transmission and time delay Journal of Mathematical Analysis and Applications. ,vol. 342, pp. 895- 908 ,(2008) , 10.1016/J.JMAA.2007.12.058
Fathalla A. Rihan, Duaa H. Abdel Rahman, Delay differential model for tumour–immune dynamics with HIV infection of CD4+ T-cells International Journal of Computer Mathematics. ,vol. 90, pp. 594- 614 ,(2013) , 10.1080/00207160.2012.726354
Fathalla A. Rihan, Numerical Modeling of Fractional-Order Biological Systems Abstract and Applied Analysis. ,vol. 2013, pp. 1- 11 ,(2013) , 10.1155/2013/816803
Nikola Burić, Dragana Todorović, Dynamics of delay-differential equations modelling immunology of tumor growth Chaos, Solitons & Fractals. ,vol. 13, pp. 645- 655 ,(2002) , 10.1016/S0960-0779(00)00275-7
Michael Y. Li, Hongying Shu, Global dynamics of an in-host viral model with intracellular delay. Bulletin of Mathematical Biology. ,vol. 72, pp. 1492- 1505 ,(2010) , 10.1007/S11538-010-9503-X
Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan, On Fractional SIRC Model with Salmonella Bacterial Infection Abstract and Applied Analysis. ,vol. 2014, pp. 1- 9 ,(2014) , 10.1155/2014/136263
C. Chiyaka, J.M. Tchuenche, W. Garira, S. Dube, A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria Applied Mathematics and Computation. ,vol. 195, pp. 641- 662 ,(2008) , 10.1016/J.AMC.2007.05.016
Kaifa Wang, Wendi Wang, Haiyan Pang, Xianning Liu, Complex dynamic behavior in a viral model with delayed immune response Physica D: Nonlinear Phenomena. ,vol. 226, pp. 197- 208 ,(2007) , 10.1016/J.PHYSD.2006.12.001