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Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects.
Xing, Mengyun; He, Mengxin; Li, Zhong.
Afiliação
  • Xing M; School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, China.
  • He M; College of Mathematics and Data Science, Minjiang University, Fuzhou 350108, China.
  • Li Z; School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, China.
Math Biosci Eng ; 21(1): 792-831, 2024 Jan.
Article em En | MEDLINE | ID: mdl-38303444
ABSTRACT
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and the other is a weak focus with multiplicity of at least three by concrete example. In addition, we analyze the bifurcations of the system, including saddle-node bifurcation, Hopf bifurcation and Bogdanov-Takens bifurcation. The results show that the model has a cusp of codimension three and undergoes a Bogdanov-Takens bifurcation of codimension two. The system undergoes a degenerate Hopf bifurcation and has two limit cycles (the inner one is stable and the outer one is unstable). These enrich the dynamics of the modified Leslie-Gower predator-prey model with the double Allee effects.
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Texto completo: 1 Base de dados: MEDLINE Idioma: En Ano de publicação: 2024 Tipo de documento: Article

Texto completo: 1 Base de dados: MEDLINE Idioma: En Ano de publicação: 2024 Tipo de documento: Article