干旱区生态环境知识资源中心(Arid): THRESHOLD DYNAMICS AND FINITE-TIME STABILITY OF REACTION-DIFFUSION VEGETATION-WATER SYSTEMS IN ARID AREA WITH TIME-VARYING DELAY

Arid

DOI	10.3934/dcdsb.2022138
	THRESHOLD DYNAMICS AND FINITE-TIME STABILITY OF REACTION-DIFFUSION VEGETATION-WATER SYSTEMS IN ARID AREA WITH TIME-VARYING DELAY
	XIONG, Z. I. X. I. A. O.; LI, X. I. N. I. N. G.; ZHANG, Q. I. M. I. N.
通讯作者	Zhang, QM
来源期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
EISSN	1553-524X
出版年	2023
卷号	28 期号:3 页码:1590-1609
英文摘要	In this paper, deterministic and stochastic reaction-diffusion vegetation-water systems with time-varying delay are developed, respectively. For the deterministic system, we define a threshold R* and discuss the threshold dynamics of the system. When R* < 1, the vegetation-free equilibrium point of the system is locally asymptotically stable. For R* > 1, the vegetation is persistent. Besides, by Latin Hypercube Sampling (LHS) and partial rank correlation coefficients (PRCCs), global sensitivity analysis is shown. For the stochastic system driven by Markov switching and Gaussian noise, with the help of stochastic comparison principle, several sufficient conditions are obtained to ensure the finite-time stability and finite time contractive stability. Numerical simulations are carried out to support the effectiveness of theoretical results.
英文关键词	Vegetation-water model threshold dynamics finite-time stability Markov switching system sensitivity analysis
类型	Article
语种	英语
开放获取类型	gold
收录类别	SCI-E
WOS记录号	WOS:000837142900001
WOS关键词	ECOSYSTEM ; MODEL
WOS类目	Mathematics, Applied
WOS研究方向	Mathematics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/395848
推荐引用方式 GB/T 7714	XIONG, Z. I. X. I. A. O.,LI, X. I. N. I. N. G.,ZHANG, Q. I. M. I. N.. THRESHOLD DYNAMICS AND FINITE-TIME STABILITY OF REACTION-DIFFUSION VEGETATION-WATER SYSTEMS IN ARID AREA WITH TIME-VARYING DELAY[J],2023,28(3):1590-1609.
APA	XIONG, Z. I. X. I. A. O.,LI, X. I. N. I. N. G.,&ZHANG, Q. I. M. I. N..(2023).THRESHOLD DYNAMICS AND FINITE-TIME STABILITY OF REACTION-DIFFUSION VEGETATION-WATER SYSTEMS IN ARID AREA WITH TIME-VARYING DELAY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,28(3),1590-1609.
MLA	XIONG, Z. I. X. I. A. O.,et al."THRESHOLD DYNAMICS AND FINITE-TIME STABILITY OF REACTION-DIFFUSION VEGETATION-WATER SYSTEMS IN ARID AREA WITH TIME-VARYING DELAY".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 28.3(2023):1590-1609.