Bifurcation analysis of a delayed reaction-diffusion-advection Nicholson's blowflies equation  

作　　者：Mengfan Tan Chunjin Wei Junjie Wei 

机构地区：[1]School of Science,Jimei University Xiamen,Fujian Province 361021,P.R.China [2]Department of Mathematics,Harbin Institute of Technology at Weihai Weihai,Shandong Province 264200,P.R.China

出　　处：《International Journal of Biomathematics》2024年第7期53-77,共25页生物数学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.22132004,22072057,and 12171117).

摘　　要：In this paper,we investigate the dynamics of a reaction-diffusion Nicholson's blowfies equation with advection.The stability of positive steady state and existence of Hopf bifurcation are obtained by analyzing the distribution of the eigenvalues.Moreover,by using the center manifold theory and normal form method,an explicit algorithm for determining the direction and stability of the Hopf bifurcation is derived.Meanwhile,we find out that the bifurcation value is increasing with respect to the advection rate.Finally,numerical results demonstrate that the advection term causes the population to move from upstream to downstream,which also indicates that advection term plays a key role in the description and interpretation of some common natural phenomena.

关 键 词：Nicholson's blowfies advection delay Hopf bifurcation 

分 类 号：O17[理学—数学]