Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 496, Issue -, Pages 446-460Publisher
ELSEVIER
DOI: 10.1016/j.physa.2018.01.006
Keywords
Turing pattern; Turing-Hopf bifurcation; Reaction-diffusion equations; Herd behavior; Diffusion
Categories
Funding
- NSFC [11601131, 11501177]
- China Scholarship Council
- Foundation of Henan Educational Committee [17A110025, 15A110034]
- SDUST Research Fund [2014TDJH102]
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In this paper, we propose a predator-prey model with herd behavior and prey-taxis. Then, we analyze the stability and bifurcation of the positive equilibrium of the model subject to the homogeneous Neumann boundary condition. By using an abstract bifurcation theory and taking prey-tactic sensitivity coefficient as the bifurcation parameter, we obtain a branch of stable nonconstant solutions bifurcating from the positive equilibrium. Our results show that prey-taxis can yield the occurrence of spatial patterns. (C) 2018 Elsevier B.V. All rights reserved.
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