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Title: A diffusive predator-prey model in heterogeneous environment
Contributor(s): Du, Yihong  (author); Hsu, Sze-Bi (author)
Publication Date: 2004
DOI: 10.1016/j.jde.2004.05.010
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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.
Publication Type: Journal Article
Source of Publication: Journal of Differential Equations, 203(2), p. 331-364
Publisher: Elsevier
Place of Publication: Orlando, United States of America
ISSN: 0022-0396
Field of Research (FOR): 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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