文章基本信息

标题：Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal
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作者：Yunfeng Liu ; Yuanxian Hui
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13661-020-01481-7
出版社：Hindawi Publishing Corporation
摘要：In this paper, we investigate a delay reaction–diffusion–advection model with ideal free dispersal. The stability of positive steady-state solutions and the existence of the associated Hopf bifurcation are obtained by analyzing the principal eigenvalue of an elliptic operator. By the normal form theory and the center manifold reduction, the stability and bifurcation direction of Hopf bifurcating periodic solutions are obtained. Moreover, numerical simulations and a brief discussion are presented to illustrate our theoretical results.
关键词：Hopf bifurcation ; Reaction–diffusion ; Delay ; The ideal free distribution