Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey (vol 35, pg 366, 2011)

被引：0
|
作者：
Gonzalez-Olivares, Eduardo [1 ]
Mena-Lorca, Jaime [1 ]
Rojas-Palma, Alejandro [1 ]
Flores, Jose D. [2 ]
机构：
[1] Pontificia Univ Catolica Valparaiso, Grp Ecol Matemat, Inst Matemat, Valparaiso, Chile
[2] Univ S Dakota, Dept Math Sci, Vermillion, SD 57069 USA
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 02期
关键词：
Allee effect; Leslie-Gower predator-prey model; Stability; Bifurcation; Limit cycles; Separatrix curve;
D O I：
10.1016/j.apm.2011.07.039
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of this paper is to correct two mistakes in [Appl. Math. Modell. (2011) 366-381], which are: the function defining the time rescaling given and the inclusion of a parameter outside of model. For a modified Leslie-Gower type predator-prey model considering the Allee effect on prey, a change of variables and a new time rescaling generating a diffeomorphism is proved; a topologically equivalent system to the original one is obtained, which is the same studied in the mentioned paper; we claim that the results and conclusions obtained are correct and the errors have not further implications. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：860 / 862
页数：3
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