Quantitative analysis of competition models
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Títol
Quantitative analysis of competition modelsData de publicació
2017Editor
ElsevierISSN
1468-1218Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S1468121817300810Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We study a 2-species Lotka–Volterra type differential system, modeling competition
between two species and having a coexistence equilibrium in the first quadrant. In
case that this equilibrium is of saddle type, its ... [+]
We study a 2-species Lotka–Volterra type differential system, modeling competition
between two species and having a coexistence equilibrium in the first quadrant. In
case that this equilibrium is of saddle type, its stable manifold divides the first
quadrant into two zones. Then, depending on the zone where the initial condition
lies, one of the species will extinct and the other will go to an equilibrium. Using
this separatrix we introduce a measure to discern which species has more chance
of surviving. This measure is given by a non-negative real number κ, that we will
call persistence ratio, that only depends on the parameters of the system. In some
cases, we can give simple explicit expressions for κ. When this is not possible, we
use several dynamical tools to obtain effective approximations of it. [-]
Proyecto de investigación
P1-1B2015-16 ; MTM2013-40998-P ; 2014SGR-568 ; MTM2014-52016-C02-2-P.Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [766]