Simulation of activator–inhibitor dynamics based on cross-diffusion Brusselator reaction–diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique-Reference-Cited by-同舟云学术

Simulation of activator–inhibitor dynamics based on cross-diffusion Brusselator reaction–diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique

Published:2021-01 Issue:1 Volume:136 Page:
ISSN:2190-5444
Container-title:The European Physical Journal Plus
language:en
Short-container-title:Eur. Phys. J. Plus

Author:

Abbaszadeh Mostafa^ORCID,Golmohammadi Mobina,Dehghan Mehdi

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Link

http://link.springer.com/content/pdf/10.1140/epjp/s13360-020-00872-0.pdf

Reference66 articles.

1. J.D. Murray, Mathematical Biology II: Spatial Models and Biomedical Applications, 3rd edn. (Springer, Berlin, 2003)

2. Z. Lin, R. Ruiz-Baier, C. Tian, Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion. J. Comput. Phys. 256, 806–823 (2014)

3. R. Lefever, Dissipative structures in chemical systems. J. Chem. Phys. 49, 4977–4978 (1968)

4. I. Prigogine, R. Lefever, Symmetries breaking instabilities in dissipative systems II. J. Phys. Chem. 48, 1695–1700 (1968)

5. M. Herschkowitz-Kaufman, N. Nicolis, Localized spatial structures and non-linear chemical waves in dissipative systems. J. Chem. Phys. 56, 1890–1895 (1972)

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