Bifurcation analysis of a spruce budworm model with diffusion and physiological structures

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Xu, Xiaofeng^1,2  Wei, Junjie¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China

关键词: Reaction diffusion;    Delay;    Stage structure;    Stability;    Global Hopf bifurcation;   

DOI  :  10.1016/j.jde.2017.01.023

来源: Elsevier

【 摘 要 】

In this paper, the dynamics of a spruce budworm model with diffusion and physiological structures are investigated. The stability of steady state and the existence of Hopf bifurcation near positive steady state are investigated by analyzing the distribution of eigenvalues. The properties of Hopf bifurcation are determined by the normal form theory and center manifold reduction for partial functional differential equations. And global existence of periodic solutions is established by using the global Hopf bifurcation result of Wu. Finally, some numerical simulations are carried out to illustrate the analytical results. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free