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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

Ecological Society of America (ESA)

Author: Ortega-Cejas, Vicente
Fort, Joaquim
Méndez López, Vicenç
Abstract: 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
Document access: http://hdl.handle.net/2072/206660
Language: eng
Publisher: Ecological Society of America (ESA)
Rights: Tots els drets reservats. Copyright by the Ecological Society of America
Subject: Biomatemàtica
Biomathematics
Equacions de reacció-difusió
Reaction-diffusion equations
Animals -- Migració
Animal migration
Title: The Role of the Delay Time in the Modeling of Biological Range Expansions
Type: info:eu-repo/semantics/article
Repository: Recercat

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