Hopf bifurcation of a delayed single population model with patch structure
Dynamical Systems
2019-12-30 v1
Abstract
In this paper, we show the existence of Hopf bifurcation of a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is considered. Especially, if each patch is favorable for the species, we show that when the dispersal rate tends to zero, the limit of the Hopf bifurcation value is the minimum of the "local" Hopf bifurcation values over all patches. On the other hand, when the dispersal rate tends to infinity, the Hopf bifurcation value tends to that of the "average" model.
Cite
@article{arxiv.1912.11780,
title = {Hopf bifurcation of a delayed single population model with patch structure},
author = {Shanshan Chen and Zuolin Shen and Junjie Wei},
journal= {arXiv preprint arXiv:1912.11780},
year = {2019}
}
Comments
41 pages, 6 figures