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 JUAN FERNANDO MENA LORCA, Alejandro Rojas-Palma, José D. Flores

Research output: Contribution to journalComment/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 languageEnglish
Pages (from-to)860-862
Number of pages3
JournalApplied Mathematical Modelling
Volume36
Issue number2
DOIs
StatePublished - Feb 2012
Externally publishedYes

Keywords

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

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