Pattern transitions in a vegetation system with cross-diffusion

被引：17
作者：
Liu, Chen [1 ]
Li, Li [2 ]
Wang, Zhen [3 ,4 ]
Wang, Ruiwu [1 ]
机构：
[1] Northwestern Polytech Univ, Ctr Ecol & Environm Sci, Xian 710072, Shaanxi, Peoples R China
[2] Shanxi Univ, Sch Comp & Informat Technol, Taiyuan 030006, Shanxi, Peoples R China
[3] Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Shaanxi, Peoples R China
[4] Northwestern Polytech Univ, Ctr OPT IMagery Anal & Learning OPTIMAL, Xian 710072, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 342卷
基金：
中国国家自然科学基金;
关键词：
Vegetation system; Stationary pattern; Cross diffusion; FAIRY CIRCLES; MODEL; DYNAMICS; GRADIENT; INSTABILITIES; ENVIRONMENTS; COMPETITION; ECOSYSTEMS; DIVERSITY; STRESS;
D O I：
10.1016/j.amc.2018.09.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Regular pattern is a typical feature of vegetation distribution which can be recognized as early warnings of desertification. In this work, a vegetation system with cross diffusion is presented based on reaction-diffusion equations. By means of mathematical analysis, we obtain the appropriate parameter space which can ensure the emergence of stationary patterns. Moreover, it is unveiled that cross diffusion not only induces the pattern transitions, yet promotes the density of the vegetation. These obtained results suggest that cross diffusion is an important mechanism in vegetation dynamics. (c) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：255 / 262
页数：8
相关论文
共 35 条
[1]   Plant-plant interactions in tropical alpine environments [J].
Anthelme, Fabien ;
Dangles, Olivier .
PERSPECTIVES IN PLANT ECOLOGY EVOLUTION AND SYSTEMATICS, 2012, 14 (05) :363-372
[2]   A field test of the stress-gradient hypothesis along an aridity gradient [J].
Armas, Cristina ;
Rodriguez-Echeverria, Susana ;
Pugnaire, Francisco I. .
JOURNAL OF VEGETATION SCIENCE, 2011, 22 (05) :818-827
[3]   Critical transitions in disturbance-driven ecosystems: identifying Windows of Opportunity for recovery [J].
Balke, Thorsten ;
Herman, Peter M. J. ;
Bouma, Tjeerd J. .
JOURNAL OF ECOLOGY, 2014, 102 (03) :700-708
[4]   Termite mounds can increase the robustness of dryland ecosystems to climatic change [J].
Bonachela, Juan A. ;
Pringle, Robert M. ;
Sheffer, Efrat ;
Coverdale, Tyler C. ;
Guyton, Jennifer A. ;
Caylor, Kelly K. ;
Levin, Simon A. ;
Tarnita, Corina E. .
SCIENCE, 2015, 347 (6222) :651-655
[5]   Vegetation competition model for water and light limitation. I: Model description, one-dimensional competition and the influence of groundwater [J].
Brolsma, R. J. ;
Karssenberg, D. ;
Bierkens, M. F. P. .
ECOLOGICAL MODELLING, 2010, 221 (10) :1348-1363
[6]   Facilitation in plant communities:: the past, the present, and the future [J].
Brooker, Rob W. ;
Maestre, Fernando T. ;
Callaway, Ragan M. ;
Lortie, Christopher L. ;
Cavieres, Lohengrin A. ;
Kunstler, Georges ;
Liancourt, Pierre ;
Tielboerger, Katja ;
Travis, Justin M. J. ;
Anthelme, Fabien ;
Armas, Cristina ;
Coll, Lluis ;
Corcket, Emmanuel ;
Delzon, Sylvain ;
Forey, Estelle ;
Kikvidze, Zaal ;
Olofsson, Johan ;
Pugnaire, Francisco I. ;
Quiroz, Constanza L. ;
Saccone, Patrick ;
Schiffers, Katja ;
Seifan, Merav ;
Touzard, Blaise ;
Michalet, Richard .
JOURNAL OF ECOLOGY, 2008, 96 (01) :18-34
[7]  
Claussen M, 2013, NAT GEOSCI, V6, P954, DOI [10.1038/ngeo1962, 10.1038/NGEO1962]
[8]  
Gavilán RG, 2017, APPL VEG SCI, V20, P513, DOI [10.1111/avsc.12314, 10.1111/avsc.1]
[9]   Discovery of fairy circles in Australia supports self-organization theory [J].
Getzin, Stephan ;
Yizhaq, Hezi ;
Bell, Bronwyn ;
Erickson, Todd E. ;
Postle, Anthony C. ;
Katra, Itzhak ;
Tzuk, Omer ;
Zelnik, Yuval R. ;
Wiegand, Kerstin ;
Wiegand, Thorsten ;
Meron, Ehud .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2016, 113 (13) :3551-3556
[10]   Global shifts towards positive species interactions with increasing environmental stress [J].
He, Qiang ;
Bertness, Mark D. ;
Altieri, Andrew H. .
ECOLOGY LETTERS, 2013, 16 (05) :695-706
1234