Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610665 | Journal of Differential Equations | 2013 | 29 Pages |
Abstract
This paper is devoted to the study of the spreading speeds of a partially degenerate reaction–diffusion system with monostable nonlinearity in a periodic habitat. We first obtain sufficient conditions for the existence of principal eigenvalues in the case where solution maps of the associated linear systems lack compactness, and prove a threshold type result on the global dynamics for the periodic initial value problem. Then we establish the existence and computational formulae of spreading speeds for the general initial value problem. It turns out that the spreading speed is linearly determinate.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chufen Wu, Dongmei Xiao, Xiao-Qiang Zhao,