Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 521, Issue -, Pages 74-88Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2019.01.062
Keywords
Vegetation patterns; Time delay; Hopf bifurcation; Complex network
Categories
Funding
- PRC Grant [NSFC 61877052, NSFC 11801494]
- Jiangsu Province 333 Talent Project
Ask authors/readers for more resources
A two-component delayed reaction-diffusion system is introduced to a complex network to describe the vegetation patterns in plankton system. The positive equilibrium is shown by the linear stability analysis to be asymptotically stable in the absence of time delay, but when the time delay increases beyond a threshold it loses its stability via the Hopf bifurcation. The stability and direction of the Hopf bifurcation is investigated with the method of center manifold theory. Our result reveals that the stability of Hopf bifurcation leads to the emergence of vegetation patterns. Numerical calculations are performed to confirm our theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available