A CROSS-DIFFUSION MODEL OF FOREST BOUNDARY DYNAMICS

被引：46
|
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] A Multispecies Cross-Diffusion Model for Territorial Development
    Alsenafi, Abdulaziz
    Barbaro, Alethea B. T.
    MATHEMATICS, 2021, 9 (12)
  • [22] A reaction-diffusion model of forest boundary with seed dynamics
    Rajasingh, J.
    Murugesu, R.
    Shabudeen, P. Syed
    International Journal of Biomathematics, 2015, 8 (03)
  • [23] Stability of travelling waves for a cross-diffusion model
    Wu, YP
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 215 (02) : 388 - 414
  • [24] On a Cross-Diffusion Model in Ecohydrology: Theory and Numerics
    Moreno-Villamil, Ivan
    Rueda-Gomez, Diego A.
    Villamizar-Roa, elder J.
    ACTA APPLICANDAE MATHEMATICAE, 2025, 196 (01)
  • [25] Traveling waves in cross-diffusion models of the dynamics of populations
    Berezovskaya, FS
    Karev, GP
    BIOFIZIKA, 2000, 45 (04): : 751 - 756
  • [26] Pattern dynamics of a cross-diffusion predator-prey model with nonlinear harvesting term
    Lian, Xinze
    Wu, Huihui
    Zhu, Meng
    Xu, Weimin
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2025, 2025 (01):
  • [27] Cross-Diffusion Driven Instability in a Predator-Prey System with Cross-Diffusion
    E. Tulumello
    M. C. Lombardo
    M. Sammartino
    Acta Applicandae Mathematicae, 2014, 132 : 621 - 633
  • [28] Coexistence states in a cross-diffusion system of a competition model
    Cui, Lu
    Li, Shanbing
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 77
  • [29] A Mixed-Culture Biofilm Model with Cross-Diffusion
    Rahman, Kazi A.
    Sudarsan, Rangarajan
    Eberl, Hermann J.
    BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (11) : 2086 - 2124
  • [30] Cross-Diffusion Driven Instability in a Predator-Prey System with Cross-Diffusion
    Tulumello, E.
    Lombardo, M. C.
    Sammartino, M.
    ACTA APPLICANDAE MATHEMATICAE, 2014, 132 (01) : 621 - 633
12345