Erratum to "Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey" [Appl. Math. Modell. (2011) 366-381]

Eduardo González-Olivares; Jaime Mena-Lorca; Alejandro Rojas-Palma; José D. Flores

doi:10.1016/j.apm.2011.07.039

Erratum to "Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey" [Appl. Math. Modell. (2011) 366-381]

Eduardo González-Olivares, Jaime Mena-Lorca, Alejandro Rojas-Palma, José D. Flores

Research output: Contribution to journal › Comment/debate

Abstract

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.

Original language	English
Pages (from-to)	860-862
Number of pages	3
Journal	Applied Mathematical Modelling
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/j.apm.2011.07.039
State	Published - Feb 2012
Externally published	Yes

Keywords

Allee effect
Bifurcation
Leslie-Gower predator-prey model
Limit cycles
Separatrix curve
Stability

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10.1016/j.apm.2011.07.039

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title = "Erratum to {"}Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey{"} [Appl. Math. Modell. (2011) 366-381]",

abstract = "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.",

keywords = "Allee effect, Bifurcation, Leslie-Gower predator-prey model, Limit cycles, Separatrix curve, Stability",

author = "Eduardo Gonz{\'a}lez-Olivares and Jaime Mena-Lorca and Alejandro Rojas-Palma and Flores, {Jos{\'e} D.}",

note = "Funding Information: JDF has been partially supported by grants from the National Science Foundation (NSF – Grant DMPS-0838704 ), the National Security Agency (NSA – Grant H98230-09-1-0104 ), the Alfred P. Sloan Foundation and the Office of the Provost of Arizona State University .",

year = "2012",

month = feb,

doi = "10.1016/j.apm.2011.07.039",

language = "English",

volume = "36",

pages = "860--862",

journal = "Applied Mathematical Modelling",

issn = "0307-904X",

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T1 - Erratum to "Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey" [Appl. Math. Modell. (2011) 366-381]

AU - González-Olivares, Eduardo

AU - Mena-Lorca, Jaime

AU - Rojas-Palma, Alejandro

AU - Flores, José D.

N1 - Funding Information: JDF has been partially supported by grants from the National Science Foundation (NSF – Grant DMPS-0838704 ), the National Security Agency (NSA – Grant H98230-09-1-0104 ), the Alfred P. Sloan Foundation and the Office of the Provost of Arizona State University .

PY - 2012/2

Y1 - 2012/2

N2 - 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.

AB - 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.

KW - Allee effect

KW - Bifurcation

KW - Leslie-Gower predator-prey model

KW - Limit cycles

KW - Separatrix curve

KW - Stability

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U2 - 10.1016/j.apm.2011.07.039

DO - 10.1016/j.apm.2011.07.039

M3 - Comment/debate

AN - SCOPUS:80053576305

VL - 36

SP - 860

EP - 862

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

IS - 2

ER -

Erratum to "Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey" [Appl. Math. Modell. (2011) 366-381]

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