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A cross-diffusion model of forest boundary dynamics |
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| Authors: | Yu. A. Kuznetsov M. Ya. Antonovsky V. N. Biktashev E. A. Aponina |
| Affiliation: | (1) Research Computing Centre of the Russian Academy of Sciences, Pushchino, 142292 Moscow Region, Russia;(2) International Institute for Applied Systems Analysis, A-2361 Laxenburg, Austria;(3) Research Computing Centre of the Russian Academy of Sciences, Pushchino, 142292 Moscow Region, Russia;(4) Present address: Stichting Mathematisch Centrum, CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands |
| Abstract: | 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. |
| Keywords: | Age-structured forest models Forest boundary dynamics Cross-diffusion Travelling and standing waves Heteroclinic orbits |
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