A CROSS-DIFFUSION MODEL OF FOREST BOUNDARY DYNAMICS

被引：47
作者：
KUZNETSOV, YA
ANTONOVSKY, MY
BIKTASHEV, VN
APONINA, EA
机构：
[1] RUSSIAN ACAD SCI,CTR RES COMP,PUSHCHINO 142292,RUSSIA
[2] INT INST APPL SYST ANAL,A-2361 LAXENBURG,AUSTRIA
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 1994年 / 32卷 / 03期
关键词：
AGE-STRUCTURED FOREST MODELS; FOREST BOUNDARY DYNAMICS; CROSS-DIFFUSION; TRAVELING AND STANDING WAVES; HETEROCLINIC ORBITS;
D O I：
10.1007/BF00163879
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：219 / 232
页数：14
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