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Cogent Mathematics & Statistics Volume 5, 2018 - Issue 1
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Research Article

A space-fractional-reaction-diffusion model for pattern formation in coral reefs

Lekam Watte SomathilakeFaculty of Science, Department of Mathematics, University of Ruhuna, Matara, Sri Lanka.Correspondence[email protected].
ORCID Iconhttps://orcid.org/0000-0002-7276-1357View further author information
ORCID Icon &
Kevin BurrageSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, Australia.;Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, OX1 3QDUK.View further author information
|
Yuriy RogovchenkoUniversitetet i Agder, Norway.View further author information
(Reviewing Editor)
Article: 1426524 | Received 15 Aug 2017, Accepted 05 Jan 2018, Published online: 13 Feb 2018

Citations (7)

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Read on this site (1)

H. P. Bhatt. (2023) Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives. International Journal of Computer Mathematics 100:1, pages 47-68.
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Articles from other publishers (6)

Alfonso Bueno-Orovio & Kevin Burrage. (2023) Complex-order fractional diffusion in reaction-diffusion systems. Communications in Nonlinear Science and Numerical Simulation 119, pages 107120.
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Han Che, Yu-Lan Wang & Zhi-Yuan Li. (2022) Novel patterns in a class of fractional reaction–diffusion models with the Riesz fractional derivative. Mathematics and Computers in Simulation 202, pages 149-163.
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Kolade M. Owolabi, Berat Karaagac & Dumitru Baleanu. (2021) Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach. Soft Computing 25:16, pages 11191-11208.
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Noémie Ehstand, Christian Kuehn & Cinzia Soresina. (2021) Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. Communications in Nonlinear Science and Numerical Simulation 98, pages 105762.
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Gani Stamov, Ivanka Stamova, Anatoliy Martynyuk & Trayan Stamov. (2021) Almost periodic dynamics in a new class of impulsive reaction–diffusion neural networks with fractional-like derivatives. Chaos, Solitons & Fractals 143, pages 110647.
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Jingyao Sun, Xinrong Li, Ning Chen, Yanli Wang & Guang Song. (2020) Regular pattern formation regulates population dynamics: Logistic growth in cellular automata. Ecological Modelling 418, pages 108878.
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