Viral dynamic model with cellular immune response: a case study of HIV-1 infected humanized mice

DOI10.1016/j.physa.2019.03.009OpenAlexW2922417960MaRDI QIDQ2159085

Paritosh Bhattacharya, Mausumi Dhar, Ranjit Kumar Upadhyay, Shilpa Samaddar

Publication date: 26 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.03.009

zbMATH Keywords

global stabilityHIV-1 infectionviral dynamicscellular immune responselytic and nonlytic components

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) General biology and biomathematics (92B05) Statistical mechanics, structure of matter (82-XX)

Related Items (7)

Stochastic dynamics of Michaelis-Menten kinetics based tumor-immune interactions ⋮ Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence ⋮ Dynamic analysis of HIV model with a general incidence, CTLs immune response and intracellular delays ⋮ Spatial dynamics of a viral infection model with immune response and nonlinear incidence ⋮ Modeling the effect of non-cytolytic immune response on viral infection dynamics in the presence of humoral immunity ⋮ Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure ⋮ Stochastic near-optimal control for drug therapy in a random viral model with cellular immune response

Cites Work

• A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data
• The effect of immune responses in viral infections: a mathematical model view
• Dynamical behavior of a delay virus dynamics model with CTL immune response
• Persistence in food webs - I. Lotka-Volterra food chains
• A generalized virus dynamics model with cell-to-cell transmission and cure rate
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Threshold dynamics of HCV model with cell-to-cell transmission and a non-cytolytic cure in the presence of humoral immunity
• Stability analysis of pathogen-immune interaction dynamics
• Mathematical models of immune effector responses to viral infections: Virus control versus the development of pathology
• Virus Dynamics: A Global Analysis

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