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Bifurcation analysis of a spruce budworm model with diffusion and physiological structures.
- Source :
-
Journal of Differential Equations . May2017, Vol. 262 Issue 10, p5206-5230. 25p. - Publication Year :
- 2017
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 262
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 121401433
- Full Text :
- https://doi.org/10.1016/j.jde.2017.01.023