Article

Virus Dynamics: A Global Analysis

2003-01-01

Abstract excerpt

Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3--44] and Nowak and May [Virus Dynamics, Oxford University Press, New York, 2000], give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproduction number R0 < 1, the virus is c...

Topics

Open a Topic to create a Post that cites this publication.

Identifiers and source

Literature Corpus work: 32372227-6a65-5fbb-9f3f-3e5558475b90
DOI: 10.1137/s0036139902406905

Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest

Virus Dynamics: A Global AnalysisDOI 10.1137/s0036139902406905Read

Global analysis of within host virus models with cell-to-cell viral transmissionSemantic proximity Read

Global Analysis for an HIV Infection Model with CTL Immune Response and Infected Cells in Eclipse PhaseSemantic proximity Read

Viral kinetics, stability and sensitivity analysis of the within-host COVID-19 modelSemantic proximity Read

Modeling within-host evolution of HIV: mutation, competition and strain replacement.Semantic proximity Read

Evaluating the importance of within- and between-host selection pressures on the evolution of chronic pathogens.Semantic proximity Read

Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmissionSemantic proximity Read

Markovian approach to tackle the interaction of simultaneous diseasesSemantic proximity Read

Two new compartmental epidemiological models and their equilibriaSemantic proximity Read

Persistence, Coexistence and Boundary Transcritical Relays for Multi-Strain Epidemic ModelsSemantic proximity Read

Multiscale Model Within-host and Between-host for Viral Infectious DiseasesSemantic proximity Read

Threshold conditions for infection persistence in complex host-vectors interactionsSemantic proximity Read

Stability of a general adaptive immunity HIV infection model with silent infected cell-to-cell spreadSemantic proximity Read