Journal article
Plant Dynamics, Birth-Jump Processes, and Sharp Traveling Waves
Bulletin of Mathematical Biology, Vol.80(6), pp.1655-1687
0
06/01/2018
DOI: 10.1007/s11538-018-0431-5
Abstract
Motivated by the importance of understanding the dynamics of the growth and dispersal of plants in various environments, we introduce and analyze a discrete agent-based model based on a birth-jump process, which exhibit wave-like solutions. To rigorously analyze these traveling wave phenomena, we derive the diffusion limit of the discrete model and prove the existence of traveling wave solutions (sharp and continuously differentiable) assuming a logarithmic-type growth. Furthermore, we provide a variational speed for the minimum speed of the waves and perform numerical experiments that confirm our results.
Details
- Title: Subtitle
- Plant Dynamics, Birth-Jump Processes, and Sharp Traveling Waves
- Creators
- George P Malanson - University of Iowa, Geographical and Sustainability SciencesN Rodríguez - University of North Carolina at Chapel Hill
- Resource Type
- Journal article
- Publication Details
- Bulletin of Mathematical Biology, Vol.80(6), pp.1655-1687
- Event
- 0
- Publisher
- Springer Nature B.V; New York
- DOI
- 10.1007/s11538-018-0431-5
- ISSN
- 0092-8240
- eISSN
- 1522-9602
- Grant note
- DOI: 10.13039/100000086, name: Directorate for Mathematical and Physical Sciences, award: DMS-1516778
- Language
- English
- Date published
- 06/01/2018
- Academic Unit
- Geographical and Sustainability Sciences
- Record Identifier
- 9983743292502771
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