TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=80053576305&partnerID=8YFLogxK

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 -