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Reaction-diffusion wave fronts: Multigeneration biological species under climate change

A generalization of reaction-diffusion models to multigeneration biological species is presented. It is based on more complex random walks than those in previous approaches. The new model is developed analytically up to infinite order. Our predictions for the speed agree to experimental data for several butterfly species better than existing models. The predicted dependence for the speed on the number of generations per year allows us to explain the change in speed observed for a specific invasion

American Physical Society

Author: Campos, Daniel
Fort, Joaquim
Llebot, Josep Enric
Abstract: A generalization of reaction-diffusion models to multigeneration biological species is presented. It is based on more complex random walks than those in previous approaches. The new model is developed analytically up to infinite order. Our predictions for the speed agree to experimental data for several butterfly species better than existing models. The predicted dependence for the speed on the number of generations per year allows us to explain the change in speed observed for a specific invasion
Document access: http://hdl.handle.net/2072/209783
Language: eng
Publisher: American Physical Society
Rights: Tots els drets reservats
Subject: Reaction-diffusion equations
Equacions de reacció-difusió
Invasions biològiques -- Models matemàtics
Biological invasions -- Mathematical models
Title: Reaction-diffusion wave fronts: Multigeneration biological species under climate change
Type: info:eu-repo/semantics/article
Repository: Recercat

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