A diffusive predator-prey model in heterogeneous environment

Title
A diffusive predator-prey model in heterogeneous environment
Publication Date
2004
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Hsu, Sze-Bi
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Academic Press
Place of publication
United States of America
DOI
10.1016/j.jde.2004.05.010
UNE publication id
une:3738
Abstract
In this paper, we demonstrate some special behavior of steady-state solutions to a predator-prey model due to the introduction of spatial heterogeneity. We show that positive steady-state solutions with certain prescribed spatial patterns can be obtained when the spatial environment is designed suitably. Moreover, we observe some essential differences of the behavior of our model from that of the classical Lotka-Volterra model that seem to arise only in the heterogeneous case.
Link
link
Citation
Journal of Differential Equations, 203(2), p. 331-364
ISSN
1090-2732
0022-0396
Start page
331
End page
364

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