Diffusion-driven instability in the gierer-meinhardt model of morphogenesis

Shigui Ruan

doi:10.1111/j.1939-7445.1998.tb00304.x

Diffusion-driven instability in the gierer-meinhardt model of morphogenesis

Shigui Ruan

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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	https://doi.org/10.1111/j.1939-7445.1998.tb00304.x
State	Published - Jan 1 1998
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Environmental Science (miscellaneous)

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10.1111/j.1939-7445.1998.tb00304.x

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title = "Diffusion-driven instability in the gierer-meinhardt model of morphogenesis",

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.",

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