scholarly journals GLOBAL ANALYTIC FIRST INTEGRALS FOR THE SIMPLIFIED MULTISTRAIN/TWO-STREAM MODEL FOR TUBERCULOSIS AND DENGUE FEVER

2009 ◽  
Vol 16 (4) ◽  
pp. 505-516 ◽  
Author(s):  
JAUME LLIBRE ◽  
CLÀUDIA VALLS
Keyword(s):  
Dengue Fever ◽  
First Integrals ◽  
Analytic First Integrals ◽  
Stream Model

scholarly journals On the Integrability of a Tritrophic Food Chain Model

2010 ◽  
Vol 10 (2) ◽  
Author(s):  
Jaume Llibre ◽  
Clàudia Valls
Keyword(s):  
Food Chain ◽  
Formal Series ◽  
Complete Characterization ◽  
First Integrals ◽  
Chain Model ◽  
Darboux Polynomials ◽  
Analytic First Integrals ◽  
Exponential Factors ◽  
Food Chain Model

AbstractIn this paper we work with a vastly analyzed tritrophic food chain model. We provide a complete characterization of their Darboux polynomials and of their exponential factors. We also show the non-existence of polynomial first integrals, of rational first integrals, of local analytic first integrals in a neighborhood of the origin, of first integrals that can be described by formal series and of Darboux first integrals.

On the Global Analytic Integrability of the Belousov–Zhabotinskii System

2008 ◽  
Vol 8 (4) ◽  
Author(s):  
Jaume Llibre ◽  
Clàudia Valls
Keyword(s):  
First Integrals ◽  
Analytic Integrability ◽  
Analytic First Integrals

AbstractThe well-known Belousov-Zhabotinskii system can be written asẋ = s(x + y - qxwith f, q, s, w ∈ ℝ and s ≠ 0. In this paper we characterize its global analytic first integrals.

scholarly journals Final evolutions for simplified multistrain/two-stream model for tuberculosis and dengue fever

2019 ◽  
Vol 118 ◽  
pp. 181-186
Author(s):  
Jaume Llibre ◽  
Regilene D.S. Oliveira ◽  
Claudia Valls
Keyword(s):  
Dengue Fever ◽  
Stream Model
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