Application of Lie group analysis to a core group model for sexually transmitted diseases

DOI10.2991/jnmp.2006.13.2.6zbMath1117.34040OpenAlexW2099700757WikidataQ115224707 ScholiaQ115224707MaRDI QIDQ3432957

Maureen P. Edwards, Maria Clara Nucci

Publication date: 19 April 2007

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2006.13.2.6

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Population dynamics (general) (92D25) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative theory for ordinary differential equations (34C99)

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Uses Software

• REDUCE

Cites Work

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• Jacobi and the birth of Lie's theory of groups
• Similarity methods for differential equations
• Jacobi's criticism of Lagrange: The changing role of mathematics in the foundations of classical mechanics
• An integrable SIS model.
• A core group model for disease transmission
• Nonlinear partial differential equations in engineering. Vol. II
• The harmony in the Kepler and related problems
• Symmetries of differential equations. IV
• Calogero's  goldfish  is indeed a school of free particles
• Lie point symmetries and first integrals: The Kowalevski top
• Lorenz integrable system moves à la Poinsot
• Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator
• The complete Kepler group can be derived by Lie group analysis