Backward bifurcation of an HTLV-I model with immune response

DOI10.3934/dcdsb.2016.21.863zbMath1333.34084OpenAlexW2524812153MaRDI QIDQ908163

Yicang Zhou, Su-Mei Li

Publication date: 3 February 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.863

zbMATH Keywords

periodic solutionsbackward bifurcationCTL immune responseHTLV-Itax expression

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (9)

Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity ⋮ Global stability of HIV/HTLV co-infection model with CTL-mediated immunity ⋮ Stability of HIV/HTLV‐I co‐infection model with delays ⋮ Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity ⋮ Stability of HTLV/HIV dual infection model with mitosis and latency ⋮ Modeling and stability analysis of HIV/HTLV-I co-infection ⋮ Modeling and analysis of a within-host HIV/HTLV-I co-infection ⋮ Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment ⋮ Analysis of an HTLV/HIV dual infection model with diffusion

Cites Work

• Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells
• Modelling the role of tax expression in HTLV-I persistence in vivo
• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
• 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
• Multistability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention
• Global dynamics of an HTLV-1 model with cell-to-cell infection and mitosis
• Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• HTLV-I infection: A dynamic struggle between viral persistence and host immunity
• Unnamed Item

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