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A cross-diffusion model of forest boundary dynamics

โœ Scribed by Yu. A. Kuznetsov; M. Ya. Antonovsky; V. N. Biktashev; E. A. Aponina

Publisher
Springer
Year
1994
Tongue
English
Weight
619 KB
Volume
32
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

A simple mathematical model of mono-species forest with two age classes which takes into account seed production and dispersal is presented in the paper. This reaction -diffusion type model is then reduced by means of an asymptotic procedure to a lower dimensional reaction -cross-diffusion model. The existence of standing and travelling wave front solutions corresponding to the forest boundary is shown for the later model. On the basis of the analysis, possible changes in forest boundary dynamics caused by antropogenic impacts are discussed.

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