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The Role of the Delay Time in the Modeling of Biological Range Expansions

The time interval between successive migrations of biological species causes a delay time in the reaction-diffusion equations describing their space-time dynamics. This lowers the predicted speed of the waves of advance, as compared to classical models. It has been shown that this delay-time effect improves the modeling of human range expansions. Here, we demonstrate that it can also be important for other species. We present two new examples where the predictions of the time-delayed and the classical (Fisher) approaches are compared to experimental data. No free or adjustable parameters are used. We show that the importance of the delay effect depends on the dimensionless product of the initial growth rate and the delay time. We argue that the delay effect should be taken into account in the modeling of range expansions for biological species

© Ecology, 2004, vol. 85, núm. 1, p. 258-264

Ecological Society of America (ESA)

Autor: Ortega-Cejas, Vicente
Fort, Joaquim
Méndez López, Vicenç
Data: 2004
Resum: The time interval between successive migrations of biological species causes a delay time in the reaction-diffusion equations describing their space-time dynamics. This lowers the predicted speed of the waves of advance, as compared to classical models. It has been shown that this delay-time effect improves the modeling of human range expansions. Here, we demonstrate that it can also be important for other species. We present two new examples where the predictions of the time-delayed and the classical (Fisher) approaches are compared to experimental data. No free or adjustable parameters are used. We show that the importance of the delay effect depends on the dimensionless product of the initial growth rate and the delay time. We argue that the delay effect should be taken into account in the modeling of range expansions for biological species
Format: application/pdf
ISSN: 0012-9658
Accés al document: http://hdl.handle.net/10256/7519
Llenguatge: eng
Editor: Ecological Society of America (ESA)
Col·lecció: Articles publicats (D-CCAA)
És part de: © Ecology, 2004, vol. 85, núm. 1, p. 258-264
Drets: Tots els drets reservats. Copyright by the Ecological Society of America
Matèria: Biomatemàtica
Biomathematics
Equacions de reacció-difusió
Reaction-diffusion equations
Animals -- Migració
Animal migration
Títol: The Role of the Delay Time in the Modeling of Biological Range Expansions
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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