Global stability of a virus dynamics model with cure rate and absorption

DOI10.1016/j.joems.2013.12.010zbMath1306.34076OpenAlexW2055363991MaRDI QIDQ467060

Khalid Hattaf, Noura Yousfi

Publication date: 3 November 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.12.010

zbMATH Keywords

global stabilitycompound matricesvirus dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) 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)

Related Items (12)

Global Analysis of a generalized viral infection temporal model with cell-to-cell transmission and absorption effect under therapy ⋮ Global properties of general viral infection models with humoral immune response ⋮ Analysis of an initial value problem for an extracellular and intracellular model of hepatitis C virus infection ⋮ Local and Global Stability of Fractional Order HIV/AIDS Dynamics Model ⋮ A class of diffusive delayed viral infection models with general incidence function and cellular proliferation ⋮ Dynamical analysis of a delayed HIV virus dynamic model with cell-to-cell transmission and apoptosis of bystander cells ⋮ A generalized HBV model with diffusion and two delays ⋮ A numerical method for delayed partial differential equations describing infectious diseases ⋮ Stationary distribution and extinction of a stochastic viral infection model ⋮ Global properties of a discrete viral infection model with general incidence rate ⋮ Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response ⋮ Global stability of a HCV dynamics model with cellular proliferation and delay

Cites Work

• Global stability of a virus infection model with time delay and absorption
• Stability analysis of a virus dynamics model with general incidence rate and two delays
• Global properties of an improved hepatitis B virus model
• Logarithmic norms and projections applied to linear differential systems
• Uniform persistence and flows near a closed positively invariant set
• Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
• Uniformly Persistent Systems
• Virus Dynamics: A Global Analysis
• A Geometric Approach to Global-Stability Problems
• Unnamed Item

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