Multiplicity Of The Classes 29-31 To Possess Limit Cycles For The Three Dimensional Competitive Leslie-Gower System

Posted on:2022-09-26

Degree:Master

Type:Thesis

Country:China

Candidate:J Zhang

Full Text:PDF

GTID:2480306476994249

Subject:Applied Mathematics

Abstract/Summary:

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This paper provides the sufficient and necessary conditions for the three dimensional competitive Leslie-Gower system to admit the Hopf bifurcation among Jiang-Niu's classes 26-31[16].Combining the Poincare-Bendixson theorem and the Hopf bifurcation theorem,we present criteria for systems among Jiang-Niu's classes 29-31 to possess at least two limit cycles and give examples to apply them.

Keywords/Search Tags:

three dimensional competitive Leslie-Gower system, Hopf bifurcation theorem, Poincare-Bendixson theorem, limit cycle

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