A nonlinear delayed model for the immune response in the presence of viral mutation

Messias, D.; Gleria, Iram; Albuquerque, S. S.; Canabarro, Askery; Stanley, H. E.

doi:10.1016/j.physa.2017.09.088

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Title: A nonlinear delayed model for the immune response in the presence of viral mutation

Journal Article · 31 January 2018 · Physica. A

DOI: https://doi.org/10.1016/j.physa.2017.09.088 · OSTI ID:1549427

Messias, D.; Gleria, Iram; Albuquerque, S. S.; Canabarro, Askery; Stanley, H. E.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1549427

Journal Information:: Physica. A, Journal Name: Physica. A Journal Issue: C Vol. 492; ISSN 0378-4371

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Numerical modelling in biosciences using delay differential equations Bocharov, Gennadii A.; Rihan, Fathalla A. Journal of Computational and Applied Mathematics, Vol. 125, Issue 1-2 https://doi.org/10.1016/S0377-0427(00)00468-4	journal	December 2000
Time delay in a basic model of the immune response Burić, N.; Mudrinic, M.; Vasović, N. Chaos, Solitons & Fractals, Vol. 12, Issue 3 https://doi.org/10.1016/S0960-0779(99)00205-2	journal	January 2001
Viral infection model with periodic lytic immune response Wang, Kaifa; Wang, Wendi; Liu, Xianning Chaos, Solitons & Fractals, Vol. 28, Issue 1 https://doi.org/10.1016/j.chaos.2005.05.003	journal	April 2006
Critical bifurcations and chaos in a delayed nonlinear model for the immune response de Souza, Elder; Lyra, Marcelo; Gleria, Iram Chaos, Solitons & Fractals, Vol. 42, Issue 4 https://doi.org/10.1016/j.chaos.2009.03.202	journal	November 2009
Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response Song, Xinyu; Wang, Shaoli; Dong, Jing Journal of Mathematical Analysis and Applications, Vol. 373, Issue 2 https://doi.org/10.1016/j.jmaa.2010.04.010	journal	January 2011
Periodic solutions and chaos in a non-linear model for the delayed cellular immune response Canabarro, A. A.; Gléria, I. M.; Lyra, M. L. Physica A: Statistical Mechanics and its Applications, Vol. 342, Issue 1-2 https://doi.org/10.1016/j.physa.2004.04.083	journal	October 2004
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