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

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

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

Publication Date:: 2018-02-01

Sponsoring Org.:: USDOE

OSTI Identifier:: 1549427

Grant/Contract Number:: AC07–05Id14517

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physica. A

Additional Journal Information:: Journal Name: Physica. A Journal Volume: 492 Journal Issue: C; Journal ID: ISSN 0378-4371

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Citation Formats


                    Messias, D., Gleria, Iram, Albuquerque, S. S., Canabarro, Askery, and Stanley, H. E.. A nonlinear delayed model for the immune response in the presence of viral mutation.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physa.2017.09.088.

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                    Messias, D., Gleria, Iram, Albuquerque, S. S., Canabarro, Askery, & Stanley, H. E.. A nonlinear delayed model for the immune response in the presence of viral mutation.  Netherlands.  https://doi.org/10.1016/j.physa.2017.09.088

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                    Messias, D., Gleria, Iram, Albuquerque, S. S., Canabarro, Askery, and Stanley, H. E.. Thu .  
"A nonlinear delayed model for the immune response in the presence of viral mutation".  Netherlands.  https://doi.org/10.1016/j.physa.2017.09.088.

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@article{osti_1549427,

  title        = {A nonlinear delayed model for the immune response in the presence of viral mutation},

  author       = {Messias, D. and Gleria, Iram and Albuquerque, S. S. and Canabarro, Askery and Stanley, H. E.},

  abstractNote = {},

  doi          = {10.1016/j.physa.2017.09.088},

  journal      = {Physica. A},

  number       = C,

  volume       = 492,

  place        = {Netherlands},

  year         = {2018},

  month        = {2}

}

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https://doi.org/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

Citation Formats

Time delay in a basic model of the immune response journal, January 2001

Deterministic Nonperiodic Flow journal, March 1963

Critical behavior of the delay-induced chaos transition in a nonlinear model for the immune response journal, August 2009

Viral infection model with periodic lytic immune response journal, April 2006

Delay effect in a model for virus replication journal, March 1999

Critical bifurcations and chaos in a delayed nonlinear model for the immune response journal, November 2009

Nonlinear Models for the Delayed Immune Response to a Viral Infection journal, June 2015

Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis journal, June 2011

A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay journal, May 2003

Boosting immunity by antiviral drug therapy: A simple relationship among timing, efficacy, and success journal, February 2003

Numerical modelling in biosciences using delay differential equations journal, December 2000

Periodic solutions and chaos in a non-linear model for the delayed cellular immune response journal, October 2004

Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model journal, January 2013

A delay-differential equation model of HIV infection of CD4+ T-cells journal, May 2000

Residual Viral Replication during Antiretroviral Therapy Boosts Human Immunodeficiency Virus Type 1-Specific CD8+T-Cell Responses in Subjects Treated Early after Infection journal, January 2002

Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response journal, January 2011

Complex dynamic behavior in a viral model with delayed immune response journal, February 2007

Mathematical analysis of delay differential equation models of HIV-1 infection journal, July 2002

Circular Causal Systems in Ecology journal, October 1948

Multiple Stable Periodic Solutions in a Model for Hormonal Control of the Menstrual Cycle journal, January 2003

Time delay in a basic model of the immune response
journal, January 2001

Deterministic Nonperiodic Flow
journal, March 1963

Critical behavior of the delay-induced chaos transition in a nonlinear model for the immune response
journal, August 2009

Viral infection model with periodic lytic immune response
journal, April 2006

Delay effect in a model for virus replication
journal, March 1999

Critical bifurcations and chaos in a delayed nonlinear model for the immune response
journal, November 2009

Nonlinear Models for the Delayed Immune Response to a Viral Infection
journal, June 2015

Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
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Boosting immunity by antiviral drug therapy: A simple relationship among timing, efficacy, and success
journal, February 2003

Numerical modelling in biosciences using delay differential equations
journal, December 2000

Periodic solutions and chaos in a non-linear model for the delayed cellular immune response
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journal, January 2002

Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response
journal, January 2011

Complex dynamic behavior in a viral model with delayed immune response
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journal, July 2002

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