Diffusive induced global dynamics and bifurcation in a predator-prey system

Diffusive induced global dynamics and bifurcation in a predator-prey system

Abstract In this paper, a diffusive Leslie-type predator-prey model is investigated. The existence of a global positive solution, persistence, stability of the equilibria and Hopf bifurcation are studied respectively. By calculating the normal form on the center manifold, the formulas determining th...

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Bibliographic Details
Main Author: Nadia N Li
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
existence of a global positive solution
global stability
permanence
Lyapunov function
Hopf bifurcation
Online Access:http://link.springer.com/article/10.1186/s13662-017-1318-8

Internet

http://link.springer.com/article/10.1186/s13662-017-1318-8

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