Global Analytic First Integrals for the Simplified Multistrain/Two-Stream Model for Tuberculosis and Dengue Fever

DOI10.1142/S1402925109000510zbMath1191.34064OpenAlexW2148226113WikidataQ114072112 ScholiaQ114072112MaRDI QIDQ5306091

Claudia Valls, Jaume Llibre

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1142/s1402925109000510

zbMATH Keywords

tuberculosisdengue feveranalytic first integralmultistrain/two-stream model

Mathematics Subject Classification ID

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

Related Items (3)

Liouvillian and Analytic First Integrals for the Brusselator System ⋮ Liouvillian and analytic integrability in a modified Philips model ⋮ LIOUVILLIAN INTEGRABILITY OF A DETERMINISTIC BUSINESS CYCLE MODEL

Cites Work

• Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever
• Competitive exclusion in a vector-host model for the dengue fever
• To treat or not to treat: The case of tuberculosis
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• On non-integrability of general systems of differential equations
• Global analytic first integrals for the real planar Lotka-Volterra system
• Singularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue Fever

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