Turing stability of Ivlev-type predator model with a protection zone |
( Volume 7 Issue 4,April 2020 ) OPEN ACCESS |
Author(s): |
Shuping Cao, Lina Zhang, Min Tian |
Keywords: |
Hopf bifurcation; Ivlev-type; protection zone; Turing instability |
Abstract: |
The Turing instability of Ivlev-type predator model of a protection zone is considered. Firstly, the stability of a positive equilibrium point in the corresponding ordinary different equation model, the existence of Hopf bifurcation are analyzed. Then the conditions of Turing instability are given by linearization analysis in the corresponding reaction diffusion model. |
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