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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the Physical Activity for Health Group based within the School of Psychological Sciences & Health. Research here seeks to better understand how and why physical activity improves health, gain a better understanding of the amount, intensity, and type of physical activity needed for health benefits, and evaluate the effect of interventions to promote physical activity.

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Existence and stability of reaction-diffusion waves on a fractal lattice

Abdulbake, J. and Mulholland, A. and Gomatam, J. (2004) Existence and stability of reaction-diffusion waves on a fractal lattice. Chaos, Solitons and Fractals, 20 (4). pp. 799-814. ISSN 0960-0779

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Abstract

This paper discusses reaction-diffusion wave propagation in fractal lattices, of infinite generation level. We describe how an input/output renormalisation approach can be used to investigate the existence of travelling waves. We also develop a framework for discussing the stability of these travelling waves.