Invasion dynamics of epidemic with the Allee effect

doi:10.1016/j.biosystems.2011.03.001

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	Invasion dynamics of epidemic with the Allee effect
	Wang, Wenting 1,2; Liu, Hua 1; Li, Zizhen 2; Guo, Zhongkai 3; Yang, Yuhua 4
刊名	BIOSYSTEMS
	2011-07
卷号	105 期号:1 页码:25-33
关键词	Biological invasion Allee effect Eco-epidemiology Partial differential equations Invasion speed
ISSN号	0303-2647
DOI	10.1016/j.biosystems.2011.03.001
英文摘要	Investigating the likely success of epidemic invasion is important in the epidemic management and control. In the present study, the invasion of epidemic is initially introduced to a predator-prey system, both species of which are considered to be subject to the Allee effect. Mathematically, the invasion dynamics is described by three nonlinear diffusion-reaction equations and the spatial implicit and explicit models are designed. By means of extensive numerical simulations, the results of spatial implicit model show that the Allee effect has an opposite impact on the invasion criteria and local dynamics when that on the different species. As the intensity of the Allee effect increases, the domain of epidemic invasion reduces and the system dynamics is changed from the stable state to the limit cycle and finally becomes the chaotic state when the susceptible prey with the Allee effect, but the domain expands and the system dynamics is changed from limit cycle to a table point when the predator is subject to the Allee effect. Results from the spatial explicit model show that the strong intensity of the Allee effect can lead to the catastrophic global extinction of all species in the case of that on the susceptible prey. While the predator with the Allee effect, the increased intensity of which makes spatial species reach a stable state. Furthermore, numerical simulations reveal a certain relationship between the invasion speed and spatial patterns. (C) 2011 Elsevier Ireland Ltd. All rights reserved.
资助项目	Education Department of Gansu Province[0918B-04]
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000292807400004
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35089]
专题	兰州理工大学
通讯作者	Liu, Hua
作者单位	1.NW Univ Nationalities, Sch Math & Comp Sci, Lanzhou 730030, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.Lanzhou Univ Sci & Technol, Sch Technol & Engn, Lanzhou 730050, Peoples R China 4.Lanzhou Univ, Sch Life Sci, Lanzhou 730000, Peoples R China
推荐引用方式 GB/T 7714	Wang, Wenting,Liu, Hua,Li, Zizhen,et al. Invasion dynamics of epidemic with the Allee effect[J]. BIOSYSTEMS,2011,105(1):25-33.
APA	Wang, Wenting,Liu, Hua,Li, Zizhen,Guo, Zhongkai,&Yang, Yuhua.(2011).Invasion dynamics of epidemic with the Allee effect.BIOSYSTEMS,105(1),25-33.
MLA	Wang, Wenting,et al."Invasion dynamics of epidemic with the Allee effect".BIOSYSTEMS 105.1(2011):25-33.