Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 199, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2020.111915
Keywords
Lotka-Volterra; Integrability; Phase portraits; Poincare disc
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Funding
- Ministerio de Economia, Industria y Competitividad [MTM2016-77278-P]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca grant [2017SGR1617]
- CONICYT PCHA/POSDOCTORADO EN EL EXTRANJERO BECAS CHILE/2018 [74190062]
- H2020 European Research Council [MSCA-RISE-2017-777911]
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We provide the phase portraits of the 3-dimensional Lotka-Volterra systems (x) over dot = x(y + az), (y) over dot = y(x + z), (z) over dot = bz(- ax + y), for all the values of the parameters a and b, in the finite region and in the infinity region through the Poincare compactification. We also study the integrability of the system. (c) 2020 Elsevier Ltd. All rights reserved.
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