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https://hdl.handle.net/1959.11/3648| 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 | Handle Link: | https://hdl.handle.net/1959.11/3648 | 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: | Academic Press | Place of Publication: | United States of America | ISSN: | 1090-2732 0022-0396 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article School of Science and Technology |
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