On global stability of an HIV pathogenesis model with cure rate

DOI10.1002/MMA.3334zbMath1336.34069OpenAlexW1763992601MaRDI QIDQ2795406

Yoichi Enatsu, Yoshiaki Muroya

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3334

zbMATH Keywords

Lyapunov functionmonotone iterationglobal asymptotic stabilityHIV pathogenesis model

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Cites Work

• Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response
• Global properties for virus dynamics model with mitotic transmission and intracellular delay
• Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays
• Stability and Hopf bifurcation in a delayed model for HIV infection of CD\(4^+\) T cells
• Global stability of an HIV pathogenesis model with cure rate
• Analysis of the dynamics of a delayed HIV pathogenesis model
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Introduction to functional differential equations
• Oscillatory viral dynamics in a delayed HIV pathogenesis model
• Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
• A Geometric Approach to Global-Stability Problems
• Lyapunov Functionals for Delay Differential Equations Model of Viral Infections

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