Global stability and periodic solution of a model for HTLV-I infection and ATL progression

DOI10.1016/j.amc.2005.12.022zbMath1099.92042OpenAlexW2017566987MaRDI QIDQ850277

Xinyu Song, Yongfeng Li

Publication date: 15 November 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.022

zbMATH Keywords

global stabilitybasic reproduction numberadult \(T\)-cell leukemiachronic HTLV-I infection

Mathematics Subject Classification ID

Medical applications (general) (92C50) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity ⋮ Global stability of HIV/HTLV co-infection model with CTL-mediated immunity ⋮ A stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells ⋮ Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity ⋮ Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}\) T-cells ⋮ Unnamed Item ⋮ An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of T-cells ⋮ Modeling and stability analysis of HIV/HTLV-I co-infection

Cites Work

• Modeling the T-cell dynamics and pathogenesis of HTLV-I infection
• Stable periodic orbits for a class of three dimensional competitive systems
• Global stability for the SEIR model in epidemiology
• Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression
• Compound matrices and ordinary differential equations
• Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
• Uniformly Persistent Systems