Nonlinear oscillations in the modified Leslie-Gower model

被引：11
|
作者：
Gine, Jaume [1 ]
Valls, Claudia [2 ]
机构：
[1] Univ Lleida, Inspires Res Ctr, Dept Matemat, Avda Jaume 2,69, Lleida 25001, Catalonia, Spain
[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 51卷 / 51期
关键词：
Nonlinear oscillations; Predator-prey models; Modified Leslie-Gower model; Not asymptotically stability; PREDATOR-PREY MODEL;
D O I：
10.1016/j.nonrwa.2019.103010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of nonlinear oscillations of a modified Leslie- Gower model around the positive equilibrium point. It is proved that at least one limit cycle can exist bifurcating from it but that this point is never a center, that is, there does not exist an infinite number of nonlinear oscillations around it. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
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