Spreading-Vanishing Scenarios in a Time-Periodic Parasitic-Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary

doi:10.1007/s10884-021-09968-2

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	Spreading-Vanishing Scenarios in a Time-Periodic Parasitic-Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary
	Wang, Jie; Wang, Jian; Zhao, Lin
	2021-03-01
发表期刊	JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
ISSN	1040-7294
摘要	In this paper, we investigate the asymptotic dynamics of a time-periodic parasitic-mutualistic model of mistletoes and birds in heterogeneous environment with the especial concerns over the spreading-vanishing scenarios, in which the Stefan class free boundary is introduced as the spreading frontier. By defining the ecological reproduction number and generalizing it as the spatial-temporal risk index, a considerably universal spreading-vanishing dichotomy and the sharp criteria are first established in birds world in the absence of mistletoes, and some estimates of the asymptotic spreading speed of the free boundary provided that spreading occurs are also obtained. Furthermore, the comprehensive considerations containing the spreading frontiers, asymptotic profiles and estimates of the asymptotic spreading speed are exhibited in mistletoes-birds world by the monotone iteration technique with the proper upper and lower solutions. The results suggest that even for the spreading case, the mistletoes population will eventually persist in long term provided that its own risk index is larger than 1, otherwise it may be eradicated.
关键词	Model of mistletoes and birds Nonlinear reaction– diffusion equation Free boundary Spreading– vanishing scenario Asymptotic profile
DOI	10.1007/s10884-021-09968-2
收录类别	SCIE ; SCOPUS
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000623894000003
出版者	SPRINGER
来源库	WOS
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/148344
专题	土木工程学院理学院
通讯作者	Wang, Jie
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	材料科学与工程学院
通讯作者单位	材料科学与工程学院
第一作者的第一单位	材料科学与工程学院
推荐引用方式 GB/T 7714	Wang, Jie,Wang, Jian,Zhao, Lin. Spreading-Vanishing Scenarios in a Time-Periodic Parasitic-Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2021.
APA	Wang, Jie,Wang, Jian,&Zhao, Lin.(2021).Spreading-Vanishing Scenarios in a Time-Periodic Parasitic-Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS.
MLA	Wang, Jie,et al."Spreading-Vanishing Scenarios in a Time-Periodic Parasitic-Mutualistic Model of Mistletoes and Birds in Heterogeneous Environment with Free Boundary".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2021).