干旱区生态环境知识资源中心(Arid): Stability and Turing Patterns in a Predator-Prey Model with Hunting Cooperation and Allee Effect in Prey Population

Arid

DOI	10.1142/S0218127420501370
	Stability and Turing Patterns in a Predator-Prey Model with Hunting Cooperation and Allee Effect in Prey Population
	Song, Danxia; Song, Yongli; Li, Chao
通讯作者	Song, YL
来源期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
EISSN	1793-6551
出版年	2020
卷号	30 期号:9
英文摘要	In this paper, we are concerned with a diffusive predator-prey model where the functional response follows the predator cooperation in hunting and the growth of the prey obeys the Allee effect. Firstly, the existence arid stability of the positive equilibrium arc explicitly determined by the local system parameters. It is shown that the ability of the hunting cooperation can affect the existence of the positive equilibrium and stability, and the intrinsic growth rate of the predator population does not affect the existence of the positive equilibrium, but affects the stability. Then the diffusion-driven Turing instability is investigated and the Turing bifurcation value is obtained, and we conclude that when the ability of the cooperation in hunting is weaker than some critical value, there is no Turing instability. The standard weakly nonlinear analysis method is employed to derive the amplitude equations of the Turing bifurcation, which is used to predict the types of the spatial patterns. And it is found that in the Turing instability region, with the parameter changing from approaching Turing bifurcation value to approaching Hopf bifurcation value, spatial patterns emerge from spot, spot-stripe to stripe. Finally, the numerical simulations are used to support the analytical results.
英文关键词	Predator prey model hunting cooperation Allee effect stability bifurcation pattern
类型	Article
语种	英语
收录类别	SCI-E
WOS记录号	WOS:000562085300017
WOS关键词	REACTION-DIFFUSION SYSTEM ; SPATIOTEMPORAL DYNAMICS ; FUNCTIONAL-RESPONSES ; HOPF-BIFURCATION ; STEADY-STATE ; LIMIT-CYCLES ; BEHAVIOR ; INTERFERENCE ; PARASITES
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS研究方向	Mathematics ; Science & Technology - Other Topics
资源类型	期刊论文
条目标识符	http://119.78.100.177/qdio/handle/2XILL650/325783
作者单位	[Song, Danxia; Song, Yongli] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Zhejiang, Peoples R China; [Li, Chao] Shangluo Univ, Dept Appl Math & Comp Sci, Shangluo 726000, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Song, Danxia,Song, Yongli,Li, Chao. Stability and Turing Patterns in a Predator-Prey Model with Hunting Cooperation and Allee Effect in Prey Population[J],2020,30(9).
APA	Song, Danxia,Song, Yongli,&Li, Chao.(2020).Stability and Turing Patterns in a Predator-Prey Model with Hunting Cooperation and Allee Effect in Prey Population.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,30(9).
MLA	Song, Danxia,et al."Stability and Turing Patterns in a Predator-Prey Model with Hunting Cooperation and Allee Effect in Prey Population".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 30.9(2020).