Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model
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Publication:2436591
DOI10.1007/s00285-012-0639-1zbMath1280.92027OpenAlexW2093156174WikidataQ51277967 ScholiaQ51277967MaRDI QIDQ2436591
James Watmough, Hongying Shu, Lin Wang
Publication date: 25 February 2014
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-012-0639-1
Dynamical systems in biology (37N25) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60) Computational methods for problems pertaining to biology (92-08)
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Cites Work
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- Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis
- Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection
- Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection
- Global dynamics of an in-host viral model with intracellular delay
- Stability by Liapunov's direct method. With applications
- Complex dynamic behavior in a viral model with delayed immune response
- Asymptotic properties of an HIV/AIDS model with a time delay
- A simple model of pathogen-immune dynamics including specific and non-specific immunity
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Introduction to functional differential equations
- Mathematical analysis of delay differential equation models of HIV-1 infection
- Transient oscillations induced by delayed growth response in the chemostat
- Qualitative theory of compartmental systems with lags.
- Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy
- A model of HIV-1 pathogenesis that includes an intracellular delay
- Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
- Impact of delays in cell infection and virus production on HIV-1 dynamics
- Symmetric functional differential equations and neural networks with memory
- Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections
