Abstract
In this paper, we consider the Gierer-Meinhardt model of morphogenesis. It is shown that the homogeneous equilibrium solution and the homogeneous periodic solution become diffusively unstable if the diffusion coefficients of the two substances are chosen suitably.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 131-141 |
| Number of pages | 11 |
| Journal | Natural Resource Modeling |
| Volume | 11 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 1998 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Modeling and Simulation
- Environmental Science (miscellaneous)
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Diffusion-driven instability in the gierer-meinhardt model of morphogenesis. / Ruan, Shigui.
In: Natural Resource Modeling, Vol. 11, No. 2, 01.01.1998, p. 131-141.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Diffusion-driven instability in the gierer-meinhardt model of morphogenesis
AU - Ruan, Shigui
PY - 1998/1/1
Y1 - 1998/1/1
N2 - In this paper, we consider the Gierer-Meinhardt model of morphogenesis. It is shown that the homogeneous equilibrium solution and the homogeneous periodic solution become diffusively unstable if the diffusion coefficients of the two substances are chosen suitably.
AB - In this paper, we consider the Gierer-Meinhardt model of morphogenesis. It is shown that the homogeneous equilibrium solution and the homogeneous periodic solution become diffusively unstable if the diffusion coefficients of the two substances are chosen suitably.
UR - http://www.scopus.com/inward/record.url?scp=34548687100&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34548687100&partnerID=8YFLogxK
U2 - 10.1111/j.1939-7445.1998.tb00304.x
DO - 10.1111/j.1939-7445.1998.tb00304.x
M3 - Article
AN - SCOPUS:34548687100
VL - 11
SP - 131
EP - 141
JO - Natural Resource Modelling
JF - Natural Resource Modelling
SN - 0890-8575
IS - 2
ER -