Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten-type predator harvesting

Bifurcation analysis in a diffusive predator–prey system with Michaelis–Menten-type predator harvesting

Abstract In this paper, we consider a modified predator–prey model with Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptotically stable by analyzing the distribution of characteristic roots. We also study...

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Bibliographic Details
Main Authors: Qiannan Song, Ruizhi Yang, Chunrui Zhang, Leiyu Tang
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Advances in Difference Equations
Subjects:
Prey–predator
diffusion
Turing instability
Hopf bifurcation
Online Access:http://link.springer.com/article/10.1186/s13662-018-1741-5

Internet

http://link.springer.com/article/10.1186/s13662-018-1741-5

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