Integrability of a SIS model

DOI10.1016/j.jmaa.2008.03.007zbMath1149.34329OpenAlexW2004572951MaRDI QIDQ924122

Jaume Llibre, Claudia Valls

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.007

zbMATH Keywords

Darboux integrabilityDarboux polynomialsexponential factorsinvariant algebraic curvesSIS equation

Mathematics Subject Classification ID

Epidemiology (92D30) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Multiplicity of invariant algebraic curves in polynomial vector fields
• An integrable SIS model.
• Qualitative theory of planar differential systems
• Liouvillian First Integrals of Differential Equations
• Invariant algebraic curves and conditions for a centre