PHASE PORTRAITS OF THE LESLIE-GOWER SYSTEM

作     者：Jaume LLIBRE Claudia VALLS Jaume LLIBRE;Claudia VALLS

作者机构：Departament de MatematiquesUniversitat Autonoma de Barcelona08193BellaterraBarcelonaCataloniaSpain Departamento de MatematicaInstituto Superior TecnicoUniversidade de LisboaAu.Rovisco Pais 1049-001LisboaPortugal 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第5期

页      面：1734-1742页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Agencia Estatal de Investigacion grant PID2019-104658GB-I00 the H2020 European Research Council grant MSCA-RISE-2017-777911 partially supported by FCT/Portugal through CAMGSD,IST-ID,projects UIDB/04459/2020 and UIDP/04459/2020 

主　　题：predator-prey models Leslie-Gower system Poincare compactification global phaseportraits 

摘      要：In this paper we characterize the phase portraits of the Leslie-Gower model for competition among *** give the complete description of their phase portraits in the Poincarédisc(i.e.,in the compactification of R^(2) adding the circle S1 of the infinity)modulo topological *** 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.