Pattern formation induced by intraspecific interactions in a predator-prey system

Luciano Stucchi; Javier Galeano; Desiderio A. Vasquez

doi:10.1103/PhysRevE.100.062414

Pattern formation induced by intraspecific interactions in a predator-prey system

Luciano Stucchi, Javier Galeano, Desiderio A. Vasquez

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6 Citas (Scopus)

Resumen

Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.

Idioma original	Inglés
Número de artículo	062414
Publicación	Physical Review E
Volumen	100
N.º	6
DOI	https://doi.org/10.1103/PhysRevE.100.062414
Estado	Publicada - 23 dic. 2019

Nota bibliográfica

Funding Information:
This work was supported by the Ministry of Economy and Competitiveness of Spain (Research Project MTM2015-63914-P). Ministry of Science, Innovation and Universities of Spain (Research Project PGC2018-093854-B-I00). APPENDIX A:

Publisher Copyright:
© 2019 American Physical Society.

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title = "Pattern formation induced by intraspecific interactions in a predator-prey system",

abstract = "Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.",

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AU - Stucchi, Luciano

AU - Galeano, Javier

AU - Vasquez, Desiderio A.

PY - 2019/12/23

Y1 - 2019/12/23

N2 - Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.

AB - Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring one to involve Holling-type functionals. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.

KW - Diffusion

KW - Ecosystems

KW - Population dynamics

KW - Stability

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Pattern formation induced by intraspecific interactions in a predator-prey system

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