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DOI	10.1002/mma.7384
	Bifurcation and stability analysis of a cross-diffusion vegetation-water model with mixed delays
	Xiong, Zixiao; Zhang, Qimin; Kang, Ting
通讯作者	Zhang, QM ; Kang, T (corresponding author), Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China.
来源期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
EISSN	1099-1476
出版年	2021
卷号	44 期号:13 页码:9976-9986
英文摘要	With desertification becoming more and more serious all over the world, it is crucial to understand the intrinsic relationship between vegetation and water (soil water and surface water). In this paper, a cross-diffusion model with mixed delays is established to describe the dynamics of vegetation, soil water, and surface water in the case of water shortage. The local stability conditions of positive equilibrium point is established by using Routh-Hurwitz criterion. Then, the conditions for generating Hopf bifurcation are studied. In the end, numerical simulations are carried out to illustrate the effectiveness of the theoretical analysis.
英文关键词	cross‐ diffusion system Hopf bifurcation local stability mixed delays vegetation‐ water model
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000640224700001
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/2XILL650/351120
作者单位	[Xiong, Zixiao; Zhang, Qimin; Kang, Ting] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Ningxia, Peoples R China
推荐引用方式 GB/T 7714	Xiong, Zixiao,Zhang, Qimin,Kang, Ting. Bifurcation and stability analysis of a cross-diffusion vegetation-water model with mixed delays[J],2021,44(13):9976-9986.
APA	Xiong, Zixiao,Zhang, Qimin,&Kang, Ting.(2021).Bifurcation and stability analysis of a cross-diffusion vegetation-water model with mixed delays.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,44(13),9976-9986.
MLA	Xiong, Zixiao,et al."Bifurcation and stability analysis of a cross-diffusion vegetation-water model with mixed delays".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 44.13(2021):9976-9986.