Du, Yihong; Peng, Rui

Author(s)

Du, Yihong

Peng, Rui

Publication Date

2013

Abstract

To reveal the complex influence of heterogeneous environment on population systems, we examine the asymptotic profile (as ϵ → 0) of the positive solution to the perturbed periodic logistic equation... We show that the temporal degeneracy of 'b' induces sharp spatiotemporal patterns of the solution only when spatial degeneracy also exists; but in sharp contrast, whether or not temporal degeneracy appears in 'b', the spatial degeneracy always induces sharp spatiotemporal patterns, though they differ significantly according to whether temporal degeneracy is also present.

Citation

Journal of Differential Equations, 254(9), p. 3794-3816

ISSN

1090-2732

0022-0396

Link

https://hdl.handle.net/1959.11/13905

Publisher

Academic Press

Title

Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation

Type of document

Journal Article

Entity Type

Publication

Author(s)	Du, Yihong Peng, Rui
Publication Date	2013
Abstract	To reveal the complex influence of heterogeneous environment on population systems, we examine the asymptotic profile (as ϵ → 0) of the positive solution to the perturbed periodic logistic equation... We show that the temporal degeneracy of 'b' induces sharp spatiotemporal patterns of the solution only when spatial degeneracy also exists; but in sharp contrast, whether or not temporal degeneracy appears in 'b', the spatial degeneracy always induces sharp spatiotemporal patterns, though they differ significantly according to whether temporal degeneracy is also present.
Citation	Journal of Differential Equations, 254(9), p. 3794-3816
ISSN	1090-2732 0022-0396
Link	https://hdl.handle.net/1959.11/13905
Publisher	Academic Press
Title	Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation
Type of document	Journal Article
Entity Type	Publication

Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation

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