A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model

A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model

The Turing pattern formation is modeled by reaction-diffusion (RD) type partial differential equations, and it plays a crucial role in ecological studies. Big data analytics and suitable frameworks to manage and predict structures and configurations are mandatory. The processing and resolution proce...

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Main Authors: Rosanna Campagna, Salvatore Cuomo, Francesco Giannino, Gerardo Severino, Gerardo Toraldo
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Vegetation turing patterns
finite difference methods
Internet of Things
Online Access:https://ieeexplore.ieee.org/document/8168333/
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spelling doaj-a0f09829cc57436b93ae568c4c16da812021-03-29T20:30:16ZengIEEEIEEE Access2169-35362018-01-0164720472410.1109/ACCESS.2017.27803248168333A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion ModelRosanna Campagna0https://orcid.org/0000-0003-4694-0113Salvatore Cuomo1Francesco Giannino2Gerardo Severino3Gerardo Toraldo4Department of Agricultural Sciences, University of Naples Federico II, Naples, ItalyDepartment of Mathematics and Applications, University of Naples Federico II, Naples, ItalyDepartment of Agricultural Sciences, University of Naples Federico II, Naples, ItalyDepartment of Agricultural Sciences, University of Naples Federico II, Naples, ItalyDepartment of Mathematics and Applications, University of Naples Federico II, Naples, ItalyThe Turing pattern formation is modeled by reaction-diffusion (RD) type partial differential equations, and it plays a crucial role in ecological studies. Big data analytics and suitable frameworks to manage and predict structures and configurations are mandatory. The processing and resolution procedures of mathematical models relies upon numerical schemes, and concurrently upon the related automated algorithms. Starting from a RD model for vegetation patterns, we propose a semi-automatic algorithm based on a smart numerical criterion for observing ecological reliable results. Numerical experiments are carried out in the case of spot's formations.https://ieeexplore.ieee.org/document/8168333/Vegetation turing patternsfinite difference methodsInternet of Things
collection DOAJ
language English
format Article
sources DOAJ
author Rosanna Campagna
Salvatore Cuomo
Francesco Giannino
Gerardo Severino
Gerardo Toraldo
spellingShingle Rosanna Campagna
Salvatore Cuomo
Francesco Giannino
Gerardo Severino
Gerardo Toraldo
A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
IEEE Access
Vegetation turing patterns
finite difference methods
Internet of Things
author_facet Rosanna Campagna
Salvatore Cuomo
Francesco Giannino
Gerardo Severino
Gerardo Toraldo
author_sort Rosanna Campagna
title A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
title_short A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
title_full A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
title_fullStr A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
title_full_unstemmed A Semi-Automatic Numerical Algorithm for Turing Patterns Formation in a Reaction-Diffusion Model
title_sort semi-automatic numerical algorithm for turing patterns formation in a reaction-diffusion model
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description The Turing pattern formation is modeled by reaction-diffusion (RD) type partial differential equations, and it plays a crucial role in ecological studies. Big data analytics and suitable frameworks to manage and predict structures and configurations are mandatory. The processing and resolution procedures of mathematical models relies upon numerical schemes, and concurrently upon the related automated algorithms. Starting from a RD model for vegetation patterns, we propose a semi-automatic algorithm based on a smart numerical criterion for observing ecological reliable results. Numerical experiments are carried out in the case of spot's formations.
topic Vegetation turing patterns
finite difference methods
Internet of Things
url https://ieeexplore.ieee.org/document/8168333/
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