Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever

DOI10.1016/j.jmaa.2007.02.061zbMath1118.92054OpenAlexW2093905998MaRDI QIDQ886191

Peter G. L. Leach, Maria Clara Nucci

Publication date: 26 June 2007

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.2007.02.061

zbMATH Keywords

Lie group analysismathematical epidemiology

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Symmetries, invariants of ordinary differential equations (34C14) Lie groups (22E99)

Related Items (8)

Global Analytic First Integrals for the Simplified Multistrain/Two-Stream Model for Tuberculosis and Dengue Fever ⋮ A partial Lagrangian approach to mathematical models of epidemiology ⋮ Global dynamics of a dengue epidemic mathematical model ⋮ Final evolutions for simplified multistrain/two-stream model for tuberculosis and Dengue fever ⋮ Complex dynamics and optimal treatment of an epidemic model with two infectious diseases ⋮ Singularity Analysis and Integrability of a Simplified Multistrain Model for the Transmission of Tuberculosis and Dengue Fever ⋮ First integrals and exact solutions of the SIRI and tuberculosis models ⋮ Analytic Behaviour of Competition among Three Species

Uses Software

• REDUCE

Cites Work

• A theory of exact and approximate configurational invariants
• First integrals versus configurational invariants and a weak form of complete integrability
• 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
• Application of Lie group analysis to a core group model for sexually transmitted diseases
• Reduction of Order for Systems of Ordinary Differential Equations
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
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