PHASE PORTRAITS OF THE LESLIE-GOWER SYSTEM  

作　　者：Jaume LLIBRE Claudia VALLS 

机构地区：[1]Departament de Matematiques,Universitat Autonoma de Barcelona,08193Bellaterra,Barcelona,Catalonia,Spain [2]Departamento de Matematica,Instituto Superior Tecnico,Universidade de Lisboa,Au.Rovisco Pais 1049-001,Lisboa,Portugal

出　　处：《Acta Mathematica Scientia》2022年第5期1734-1742,共9页数学物理学报（B辑英文版）

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.

摘　　要：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 Poincarédisc(i.e.,in the compactification of R^(2) adding the circle S1 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.

关 键 词：predator-prey models Leslie-Gower system Poincare compactification global phaseportraits 

分 类 号：O175[理学—数学] Q141[理学—基础数学]