Phase portraits of the Leslie-Gower system
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Date:	2022
Abstract:	In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i. e. , in the compactification of ℝ adding the circle S of the infinity) modulo topological equivalence. It is well-known that the equilibrium point of the Leslie-Gower model in the interior of the positive quadrant is a global attractor in this open quadrant, and in this paper we characterize where the orbits attracted by this equilibrium born.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Predator-prey models ; Leslie-Gower system ; Poincaré compactification ; Global phase portraits
Published in:	Acta Mathematica Scientia, Vol. 42, Issue 5 (September 2022) , p. 1734-1742, ISSN 1572-9087

DOI: 10.1007/s10473-022-0502-4

Postprint 11 p, 365.9 KB

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