PERIODIC TRAVELING WAVES AND ASYMPTOTIC SPREADING OF A MONOSTABLE REACTION-DIFFUSION EQUATIONS WITH NONLOCAL EFFECTS

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	PERIODIC TRAVELING WAVES AND ASYMPTOTIC SPREADING OF A MONOSTABLE REACTION-DIFFUSION EQUATIONS WITH NONLOCAL EFFECTS
	Han, Bang-Sheng 1; Kong, De-Yu 1; Shi, Qihong 2; Wang, Fan 1
刊名	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
	2021
关键词	Reaction-diffusion nonlocal delay periodic traveling wave asymptotic behavior numerical simulation critical exponent
ISSN号	1072-6691
英文摘要	This article concerns the dynamical behavior for a reaction-diffusion equation with integral term. First, by using bifurcation analysis and center manifold theorem, the existence of periodic steady-state solution are established for a special kernel function and a general kernel function respectively. Then, we prove the model admits periodic traveling wave solutions connecting this periodic steady state to the uniform steady state u = 1 by applying center manifold reduction and the analysis to phase diagram. By numerical simulations, we also show the change of the wave profile as the coefficient of aggregate term increases. Also, by introducing a truncation function, a shift function and some auxiliary functions, the asymptotic behavior for the Cauchy problem with initial function having compact support is investigated.
WOS研究方向	Mathematics
语种	英语
出版者	TEXAS STATE UNIV
WOS记录号	WOS:000637091300001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148288]
专题	理学院
作者单位	1.Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China; 2.Lanzhou Univ Technol, Dept Math, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Han, Bang-Sheng,Kong, De-Yu,Shi, Qihong,et al. PERIODIC TRAVELING WAVES AND ASYMPTOTIC SPREADING OF A MONOSTABLE REACTION-DIFFUSION EQUATIONS WITH NONLOCAL EFFECTS[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2021.
APA	Han, Bang-Sheng,Kong, De-Yu,Shi, Qihong,&Wang, Fan.(2021).PERIODIC TRAVELING WAVES AND ASYMPTOTIC SPREADING OF A MONOSTABLE REACTION-DIFFUSION EQUATIONS WITH NONLOCAL EFFECTS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS.
MLA	Han, Bang-Sheng,et al."PERIODIC TRAVELING WAVES AND ASYMPTOTIC SPREADING OF A MONOSTABLE REACTION-DIFFUSION EQUATIONS WITH NONLOCAL EFFECTS".ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2021).