Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator–prey model with Allee effect and Holling type-III functional response

Analysis of stability and Hopf bifurcation in a fractional Gauss-type predator–prey model with Allee effect and Holling type-III functional response

Abstract The Kolmogorov model has been applied to many biological and environmental problems. We are particularly interested in one of its variants, that is, a Gauss-type predator–prey model that includes the Allee effect and Holling type-III functional response. Instead of using classic first order...

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Bibliographic Details
Main Authors: Kanokrat Baisad, Sompop Moonchai
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Fractional order differential equations
Predator–prey model
Allee effect
Functional response
Stability
Hopf bifurcation
Online Access:http://link.springer.com/article/10.1186/s13662-018-1535-9

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http://link.springer.com/article/10.1186/s13662-018-1535-9

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