Name
Title | ||
|---|---|---|
Stripe And Spot Patterns In A Gierer-Meinhardt Activator-Inhibitor Model With Different Sources |
Abstract | ||
|---|---|---|
In this paper, we study the Turing patterns in a Gierer-Meinhardt model of the activator-inhibitor type with different sources. First, we investigate the corresponding kinetic equations and derive the conditions for the stability of the equilibrium and then, we turn our attention to the Hopf bifurcation of the system. In certain parameter range, the equilibrium experiences a Hopf bifurcation; the bifurcation is supercritical and the bifurcated periodic solution is stable. With added diffusions, we show that both the equilibrium and the stable Hopf periodic solution experience Turing instability, if the diffusion coefficients of the two species are sufficiently different. Our numerical simulations show that the Turing patterns are either spot or stripe type. The results are new. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1142/S0218127415501084 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Hopf bifurcation, Turing instability, stability, spatial and temporal pattern | Bifurcation diagram,Turing patterns,Control theory,Mathematical analysis,Turing instability,Kinetic equations,Periodic graph (geometry),Mathematics,Saddle-node bifurcation,Hopf bifurcation,Bifurcation | Journal |
Volume | Issue | ISSN |
25 | 8 | 0218-1274 |
Citations | PageRank | References |
1 | 0.40 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jinliang Wang | 1 | 24 | 6.51 |
| Xiaojie Hou | 2 | 1 | 0.73 |
| Zhujun Jing | 3 | 34 | 8.28 |