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https://hdl.handle.net/1959.11/2629
Title: | Some Recent Results on Diffusive Predator-prey Models in Spatially Heterogeneous Environment | Contributor(s): | Du, Yihong (author) ; Shi, Junping (author) | Publication Date: | 2006 | Handle Link: | https://hdl.handle.net/1959.11/2629 | Abstract: | We present several recent results obtained in our attempts to understand the influence of spatial heterogeneity in the predator-prey models. Two different approaches are taken. The first approach is based on the observation that the behavior of many diffusive population models is very sensitive to certain coefficient functions becoming small in part of the underlying spatial region. We apply this observation to three predator-prey models to reveal fundamental differences from the classical homogeneous case in each model, and demonstrate the essential differences of these models from each other. In the second approach, we examine the influence of a protection zone in a Holling type II diffusive predator-pre model, which introduces different mathematical problems from those in the first approach, and reveals important impacts of the protection zone. | Publication Type: | Book Chapter | Source of Publication: | Nonlinear Dynamics and Evolution Equations, p. 95-135 | Publisher: | American Mathematical Society | Place of Publication: | Providence, United States of America | ISBN: | 0821837214 | 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 | HERDC Category Description: | B1 Chapter in a Scholarly Book | Publisher/associated links: | http://nla.gov.au/anbd.bib-an40134270 http://books.google.com/books?id=YJuiwmWZ6awC&lpg=PP1&pg=PA95 |
Editor: | Editor(s): Hermann Brunner, Xiao-Qiang Zhao and Xingfu Zou |
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Appears in Collections: | Book Chapter School of Science and Technology |
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