Landscape-induced spatial oscillations in population dynamics

Abstract We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types...

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Autores principales:	Vivian Dornelas, Eduardo H. Colombo, Cristóbal López, Emilio Hernández-García, Celia Anteneodo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/9740c2ceed7c415ba6db238b43e7bf63
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spelling	oai:doaj.org-article:9740c2ceed7c415ba6db238b43e7bf632021-12-02T12:09:51ZLandscape-induced spatial oscillations in population dynamics10.1038/s41598-021-82344-82045-2322https://doaj.org/article/9740c2ceed7c415ba6db238b43e7bf632021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-82344-8https://doaj.org/toc/2045-2322Abstract We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. Through the mapping between the features of the induced wrinkles and the shape of the interaction kernel, we discuss how heterogeneities can reveal information that would be hidden in a flat landscape.Vivian DornelasEduardo H. ColomboCristóbal LópezEmilio Hernández-GarcíaCelia AnteneodoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Vivian Dornelas Eduardo H. Colombo Cristóbal López Emilio Hernández-García Celia Anteneodo Landscape-induced spatial oscillations in population dynamics
description	Abstract We study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. Through the mapping between the features of the induced wrinkles and the shape of the interaction kernel, we discuss how heterogeneities can reveal information that would be hidden in a flat landscape.
format	article
author	Vivian Dornelas Eduardo H. Colombo Cristóbal López Emilio Hernández-García Celia Anteneodo
author_facet	Vivian Dornelas Eduardo H. Colombo Cristóbal López Emilio Hernández-García Celia Anteneodo
author_sort	Vivian Dornelas
title	Landscape-induced spatial oscillations in population dynamics
title_short	Landscape-induced spatial oscillations in population dynamics
title_full	Landscape-induced spatial oscillations in population dynamics
title_fullStr	Landscape-induced spatial oscillations in population dynamics
title_full_unstemmed	Landscape-induced spatial oscillations in population dynamics
title_sort	landscape-induced spatial oscillations in population dynamics
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/9740c2ceed7c415ba6db238b43e7bf63
work_keys_str_mv	AT viviandornelas landscapeinducedspatialoscillationsinpopulationdynamics AT eduardohcolombo landscapeinducedspatialoscillationsinpopulationdynamics AT cristoballopez landscapeinducedspatialoscillationsinpopulationdynamics AT emiliohernandezgarcia landscapeinducedspatialoscillationsinpopulationdynamics AT celiaanteneodo landscapeinducedspatialoscillationsinpopulationdynamics
_version_	1718394643225247744

Landscape-induced spatial oscillations in population dynamics

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