Reaction-diffusion wave fronts: Multigeneration biological species under climate change
Open Access
- 12 December 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 66 (6) , 062901
- https://doi.org/10.1103/physreve.66.062901
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.Keywords
This publication has 19 references indexed in Scilit:
- Effects of transport memory and nonlinear damping in a generalized Fisher’s equationPhysical Review E, 2001
- Rapid responses of British butterflies to opposing forces of climate and habitat changeNature, 2001
- Model of population migration in a changing habitatPhysica A: Statistical Mechanics and its Applications, 2001
- Entrepreneurial insectsNature, 2001
- Front Propagation into an Unstable State of Reaction-Transport SystemsPhysical Review Letters, 2001
- Poleward shifts in geographical ranges of butterfly species associated with regional warmingNature, 1999
- Time-Delayed Theory of the Neolithic Transition in EuropePhysical Review Letters, 1999
- Dynamics and thermodynamics of delayed population growthPhysical Review E, 1997
- Conditions for Adaptation of an Evolving PopulationPhysical Review Letters, 1996
- Geographic speciation in the Derrida-Higgs model of species formationJournal of Physics A: General Physics, 1994