Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection

DOI10.1007/S00285-011-0455-ZzbMath1303.92059OpenAlexW1984806594WikidataQ51544947 ScholiaQ51544947MaRDI QIDQ455736

Publication date: 22 October 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0455-z

zbMATH Keywords

Hopf bifurcation bi-stability HTLV-I infection CTL response HAM/TSP stable periodic oscillations transient periodic oscillations

Mathematics Subject Classification ID

Medical applications (general) (92C50) Medical epidemiology (92C60)

Related Items (21)

Dynamical behaviors of an HTLV-I infection model with intracellular delay and immune activation delay ⋮ Dynamics of an infection model with two delays ⋮ Dynamic Scenario in HTLV-I Infection ⋮ Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses ⋮ Viral dynamics of an HTLV-I infection model with intracellular delay and CTL immune response delay ⋮ Stability of HIV/HTLV‐I co‐infection model with delays ⋮ Threshold dynamics of a viral infection model with defectively infected cells ⋮ Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity ⋮ Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection ⋮ Backward bifurcation of an HTLV-I model with immune response ⋮ Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model ⋮ Stability of HTLV/HIV dual infection model with mitosis and latency ⋮ Global dynamics of HIV/HTLV-I co-infection with effective CTL-mediated immune response ⋮ Modeling and stability analysis of HIV/HTLV-I co-infection ⋮ Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes ⋮ Viral dynamics of HIV-1 with CTL immune response ⋮ The stationary distribution and extinction of a double thresholds HTLV-I infection model with nonlinear CTL immune response disturbed by white noise ⋮ Analysis of an HTLV/HIV dual infection model with diffusion ⋮ A mathematical model of HTLV-I infection with two time delays ⋮ Hopf bifurcation for a discontinuous HTLV-1 model ⋮ Complex dynamic behavior in a viral model with state feedback control strategies

Cites Work

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