<p>Diffusion instability in a threevariable reaction–diffusion model</p>

Borina M.Y.; Polezhaev A.A.

Issue 2, 2011 Vol. 3

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Diffusion instability in a threevariable reaction–diffusion model

Borina M.Y., Polezhaev A.A.

pdf (401K) / List of references

Investigation of occurrence of diffusion instability in a set of three reaction–diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained. Qualitative properties of the system, in which the bifurcation of each of the two types can take place, are clarified. In numerical experiments it is shown that if the corresponding conditions are met in the nonlinear model, spatiotemporal patterns are formed, which are predicted by linear analysis.

Keywords: diffusion instability, Turing instability, wave instability

Citation in English: Borina M.Y., Polezhaev A.A. Diffusion instability in a threevariable reaction–diffusion model // Computer Research and Modeling, 2011, vol. 3, no. 2, pp. 135-146

DOI: 10.20537/2076-7633-2011-3-2-135-146

URL: http://crm-en.ics.org.ru/journal/article/1781/

Computer Research and Modeling - 2011 - Issue 2

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Maxim Borisovich Kuznetsov. Investigation of Turing structures formation under the influence of wave instability. // Computer Research and Modeling. — 2019. — V. 11, no. 3. — P. 397. DOI: 10.20537/2076-7633-2019-11-3-397-412
Maria Yur’evna Borina, A. A. Polezhaev. On the mechanisms for formation of segmented waves in active media. // Computer Research and Modeling. — 2013. — V. 5, no. 4. — P. 533. DOI: 10.20537/2076-7633-2013-5-4-533-542

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