Global dynamics of a virus model with invariant algebraic surfaces

DOI10.1007/s12215-019-00417-0zbMath1447.34046OpenAlexW2947266135MaRDI QIDQ777194

Jaume Llibre, Claudia Valls, Fabio Scalco Dias

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221280

zbMATH Keywords

phase portraitdynamics at infinityinvariant algebraic surfacesPoincaré compactificationvirus model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• On the global flow of a 3-dimensional Lotka-Volterra system
• Invariant algebraic surfaces for a virus dynamics
• Mathematical analysis of a basic virus infection model with application to HBV infection
• Quadratic three-dimensional differential systems having invariant planes with total multiplicity nine
• Qualitative theory of planar differential systems
• Bounded Polynomial Vector Fields
• Virus Dynamics: A Global Analysis
• Invariant manifolds

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