干旱区生态环境知识资源中心(Arid): The dynamical behavior of a class of stochastic vegetation models

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DOI	10.1016/j.matcom.2023.04.013
	The dynamical behavior of a class of stochastic vegetation models
	Meng, Qingyan; Wang, Yejuan; Kloeden, Peter E.
通讯作者	Wang, YJ
来源期刊	MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN	0378-4754
EISSN	1872-7166
出版年	2023
卷号	211 页码:341-367
英文摘要	We investigate the influence of random fluctuations in environmental parameters (e.g. rainfall and grazing rate) on the dynamical behavior of a class of ecological models for vegetation biomass in semi-arid regions. Firstly, we show the global existence and uniqueness of positive solutions for the number of vegetation biomass B(t). Then some sufficient conditions are presented for extinction and persistence of B(t) by using the stochastic linearization technique, the Hurwitz criterion and the Lyapunov function method. In particular, a threshold value R0s for the stochastic vegetation model is established in order to illustrate extinction and persistence of B(t). We also find that Rs0 = 1 can be a warning signal for the emergence of desertification. In the case of Rs0 > 1, we show that the stochastic vegetation system has a unique stationary distribution. Finally, we present conditions for persistence of B(t), and prove the pth moment stability and almost sure stability of the null solution in a general decay rate sense (including the exponential, polynomial and logarithmic rates) where the parameters in the stochastic vegetation system can also be dependent on time. These results are illustrated by numerical simulations. (c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
英文关键词	Stochastic vegetation model Extinction and persistence Almost sure stability Moment stability
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000989740200001
WOS关键词	EARLY WARNING SIGNAL ; PATTERNS ; NOISE
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS研究方向	Computer Science ; Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/397814
推荐引用方式 GB/T 7714	Meng, Qingyan,Wang, Yejuan,Kloeden, Peter E.. The dynamical behavior of a class of stochastic vegetation models[J],2023,211:341-367.
APA	Meng, Qingyan,Wang, Yejuan,&Kloeden, Peter E..(2023).The dynamical behavior of a class of stochastic vegetation models.MATHEMATICS AND COMPUTERS IN SIMULATION,211,341-367.
MLA	Meng, Qingyan,et al."The dynamical behavior of a class of stochastic vegetation models".MATHEMATICS AND COMPUTERS IN SIMULATION 211(2023):341-367.