Global stability of humoral immunity HIV infection models with chronically infected cells and discrete delays

DOI10.1155/2015/370968zbMath1418.92074OpenAlexW2210106664WikidataQ59105851 ScholiaQ59105851MaRDI QIDQ1723307

Najat A. Alghamdi, Ahmed M. Elaiw

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/370968

Mathematics Subject Classification ID

Epidemiology (92D30) Medical applications (general) (92C50) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• HIV-1 infection and low steady state viral loads
• Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
• Global dynamics of an in-host viral model with intracellular delay
• Dynamic behaviors of a class of HIV compartmental models
• Global properties of a class of HIV models
• Dynamical behavior of a virus dynamics model with CTL immune response
• Introduction to functional differential equations
• Mathematical analysis of delay differential equation models of HIV-1 infection
• Stability of virus infection models with antibodies and chronically infected cells
• Global properties of a class of virus infection models with multitarget cells
• Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays
• A model of HIV-1 pathogenesis that includes an intracellular delay
• Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
• Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay
• Global stability of HIV infection of CD4\(^{+}\) T cells and macrophages with CTL immune response and distributed delays
• Dynamics of an HIV-1 infection model with cell mediated immunity
• Stability analysis of pathogen-immune interaction dynamics
• Asymptotic properties of a HIV-1 infection model with time delay
• Global properties of a class of HIV infection models with Beddington–DeAngelis functional response
• Impact of Intracellular Delays and Target-Cell Dynamics on In Vivo Viral Infections

This page was built for publication: Global stability of humoral immunity HIV infection models with chronically infected cells and discrete delays