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
相关论文
共 50 条
  • [31] A Mixed-Culture Biofilm Model with Cross-Diffusion
    Kazi A. Rahman
    Rangarajan Sudarsan
    Hermann J. Eberl
    Bulletin of Mathematical Biology, 2015, 77 : 2086 - 2124
  • [32] WELL-POSEDNESS OF A CROSS-DIFFUSION POPULATION MODEL WITH NONLOCAL DIFFUSION
    Galiano, Gonzalo
    Velasco, Julian
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (04) : 2884 - 2902
  • [33] A free boundary problem describing S-K-T competition ecological model with cross-diffusion
    Tan, Qi-Jian
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 45 : 53 - 82
  • [34] Cross-Diffusion Modeling in Macroeconomics
    Balázsi L.
    Kiss K.
    Differential Equations and Dynamical Systems, 2015, 23 (2) : 147 - 166
  • [35] Coexistence states of a predator-prey model with cross-diffusion
    Yuan, Hailong
    Wu, Jianhua
    Jia, Yunfeng
    Nie, Hua
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 179 - 203
  • [36] Cross-diffusion on multiplex networks
    Gao, Shupeng
    Chang, Lili
    Wang, Xinyu
    Liu, Chen
    Li, Xuelong
    Wang, Zhen
    NEW JOURNAL OF PHYSICS, 2020, 22 (05):
  • [37] CROSS-DIFFUSION SYSTEMS WITH NON-ZERO FLUX AND MOVING BOUNDARY CONDITIONS
    Bakhta, Athmane
    Ehrlacher, Virginie
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2018, 52 (04): : 1385 - 1415
  • [38] Existence of the solutions of a reaction cross-diffusion model for two species
    Ma, Li
    APPLIED MATHEMATICS LETTERS, 2018, 79 : 118 - 122
  • [39] A time-fractional competition ecological model with cross-diffusion
    Manimaran, J.
    Shangerganesh, L.
    Debbouche, Amar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (08) : 5197 - 5211
  • [40] A predator-prey interaction model with self and cross-diffusion
    Dubey, B
    Das, B
    Hussain, J
    ECOLOGICAL MODELLING, 2001, 141 (1-3) : 67 - 76
12345