GLOBAL PROPERTIES FOR A VIRUS DYNAMICS MODEL WITH LYTIC AND NON-LYTIC IMMUNE RESPONSES, AND NONLINEAR IMMUNE ATTACK RATES

DOI10.1142/S021833901450017XzbMath1302.92057OpenAlexW2050401523MaRDI QIDQ2933562

Cruz Vargas-De-León

Publication date: 3 December 2014

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021833901450017x

zbMATH Keywords

Lyapunov functionglobal stabilityvirus dynamicsimmune attack rates

Mathematics Subject Classification ID

Physiology (general) (92C30) Medical epidemiology (92C60) Systems biology, networks (92C42)

Related Items (8)

Stability and Hopf bifurcation of a CTL-inclusive HIV-1 infection model with both viral and cellular infections, and three delays ⋮ Unnamed Item ⋮ Qualitative investigation of cytolytic and noncytolytic immune response in an HBV model ⋮ Global stability of infectious disease models with contact rate as a function of prevalence index ⋮ Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment ⋮ Stability of an adaptive immunity viral infection model with multi-stages of infected cells and two routes of infection ⋮ Stability of a mathematical model of tumour-induced angiogenesis ⋮ Modeling the dynamics of viral–host interaction during treatment of productively infected cells and free virus involving total immune response

Cites Work

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• Mathematical Analysis of HIV-1 Dynamics in Vivo
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• A Geometric Approach to Global-Stability Problems
• Global stability of a population dynamics model with inhibition and negative feedback
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