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
  • [21] Pattern dynamics of network-organized system with cross-diffusion
    郑前前
    王直杰
    申建伟
    Chinese Physics B, 2017, 26 (02) : 84 - 89
  • [22] Pattern formation for a charge transfer model with cross-diffusion
    Guo, Gaihui
    You, Jing
    Wei, Meihua
    Su, Youhui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 538 (01)
  • [23] Induction of patterns through crowding in a cross-diffusion model
    Aldandani, Mohammed
    Ward, John
    Davidson, Fordyce A.
    RESULTS IN APPLIED MATHEMATICS, 2024, 24
  • [24] Traveling Wave solutions of FitzHugh model with cross-diffusion
    Berezovskaya, Faina
    Camacho, Erika
    Wirkus, Stephen
    Karev, Georgy
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2008, 5 (02) : 239 - 260
  • [25] Coexistence in a mutualistic model with cross-diffusion in a heterogeneous environment
    Adam, Badradeen
    Lin, Zhigui
    Tarboush, Abdelrazig K.
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (06)
  • [26] Pattern dynamics of network-organized system with cross-diffusion
    Zheng, Qianqian
    Wang, Zhijie
    Shen, Jianwei
    CHINESE PHYSICS B, 2017, 26 (02)
  • [27] ZOOLOGY OF A NONLOCAL CROSS-DIFFUSION MODEL FOR TWO SPECIES
    Carrillo, Jose A.
    Huang, Yanghong
    Schmidtchen, Markus
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 78 (02) : 1078 - 1104
  • [28] An economic cross-diffusion mutualistic model for cities emergence
    de-Cordoba, Gonzalo F.
    Galiano, Gonzalo
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 79 (03) : 643 - 655
  • [29] A class of invasion models in ecology with a free boundary and with cross-diffusion and self-diffusion
    Tan, Qi-Jian
    Pan, Chao-Yi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (02)
  • [30] Spatiotemporal patterns induced by cross-diffusion on vegetation model
    Xu, Shuo
    Zhang, Chunrui
    AIMS MATHEMATICS, 2022, 7 (08): : 14076 - 14098
12345