DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physica. A

Sponsoring Organization:
USDOE
Grant/Contract Number:
AC07–05Id14517
OSTI ID:
1549427
Journal Information:
Physica. A, Journal Name: Physica. A Vol. 492 Journal Issue: C; ISSN 0378-4371
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (20)

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