Journal of Nonlinear Mathematical Physics

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Volume 16, Issue 4, December 2009, Pages 505 - 516

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

Authors
Jaume Llibre*, ‡, Clàudia Valls†, §
*Department de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain
†Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1049-001, Lisboa, Portugal
Received 14 April 2009, Accepted 10 June 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925109000510How to use a DOI?
Keywords
Analytic first integral; multistrain/two-stream model; tuberculosis; dengue fever
Abstract

We provide the complete classification of all global analytic first integrals of the simplified multistrain/two-stream model for tuberculosis and dengue fever that can be written as

x˙=x(β1−b−γ1−β1x−(β1−ν)y),     y˙=y(β2−b−γ2−(β2−ν)x−β2y),
with β1, β2, b, γ1, γ2, ν ∈ ℝ.

Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 4
Pages
505 - 516
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925109000510How to use a DOI?
Copyright
© 2009 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Jaume Llibre
AU  - Clàudia Valls
PY  - 2021
DA  - 2021/01/07
TI  - Global Analytic First Integrals for the Simplified Multistrain/Two-Stream Model for Tuberculosis and Dengue Fever
JO  - Journal of Nonlinear Mathematical Physics
SP  - 505
EP  - 516
VL  - 16
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000510
DO  - 10.1142/S1402925109000510
ID  - Llibre2021
ER  -