Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle

doi:10.1007/s11538-020-00725-y

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	Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle
	Lin, Guo 1; Niu, Yibin 1; Pan, Shuxia 2; Ruan, Shigui 3
刊名	BULLETIN OF MATHEMATICAL BIOLOGY
	2020-04-20
卷号	82 期号:5
关键词	Integrodifference equations Asymptotic spreading Auxiliary equation Noncooperative system
ISSN号	0092-8240
DOI	10.1007/s11538-020-00725-y
英文摘要	In this paper, we study the spreading speed in an integrodifference system which models invasion of predators into the habitat of the prey. Without the requirement of comparison principle, we construct several auxiliary integrodifference equations and use the results of monotone scalar equations to estimate the spreading speed of the invading predators. We also present some numerical simulations to support our theoretical results and demonstrate that the integrodifference predator-prey system exhibits very complex dynamics. Our theory and numerical results imply that the invasion of predators may have a rough constant speed. Moreover, our numerical simulations indicate that the spatial contact of individuals and the overcompensatory phenomenon of the prey may be conducive to the persistence of nonmonotone biological systems and lead to instability of the predator-free state.
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000527321500001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155206]
专题	理学院
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China; 3.Univ Miami, Dept Math, Coral Gables, FL 33146 USA
推荐引用方式 GB/T 7714	Lin, Guo,Niu, Yibin,Pan, Shuxia,et al. Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle[J]. BULLETIN OF MATHEMATICAL BIOLOGY,2020,82(5).
APA	Lin, Guo,Niu, Yibin,Pan, Shuxia,&Ruan, Shigui.(2020).Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle.BULLETIN OF MATHEMATICAL BIOLOGY,82(5).
MLA	Lin, Guo,et al."Spreading Speed in an Integrodifference Predator-Prey System without Comparison Principle".BULLETIN OF MATHEMATICAL BIOLOGY 82.5(2020).