{"product_id":"spatial-ecology-via-reaction-diffusion-equations-hardback-9780471493013","title":"Spatial Ecology via Reaction-Diffusion Equations (Hardback) 9780471493013","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSpatial Ecology via Reaction-Diffusion Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eRobert Stephen Cantrell (Author), Chris Cosner (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471493013, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 23 September 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e432 pages\u003cbr\u003e25.2 x 17.6 x 2.9 cm, 0.907 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"…particularly attractive and useful for graduate students and other researchers who are interested in studying applications of reaction-diffusion theory to spatial ecology.\" (\u003ci\u003eMathematical Reviews\u003c\/i\u003e, Issue 2007a)  \u003cp\u003e\"…I would recommend this book to anyone who wants a well supported journey into the modern theory of partial differential equations and dynamic systems…\" (\u003ci\u003eThe Mathematical Gazette\u003c\/i\u003e, March 2005)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eViele Probleme aus der Ökologie, darunter zum Beispiel die Ausbreitung von Schadstoffen, lassen sich modellieren, wenn man auf scheinbar zufällige Prozesse mit einer räumlichen und gegebenenfalls auch einer zeitlichen Dimension zurückgreift. Dieses Buch zeigt Ihnen, wie man räumliche Effekte in der Ökologie und Populationsdynamik mit sogenannten Reaktions-Diffusions-Modellen beschreiben kann. Sie lernen, Modelle aufzubauen und die Resultate zu interpretieren. Die Umsetzung der Theorie in die Praxis wird anhand spezieller Anwendungsbeispiele demonstriert.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface.\u003cbr\u003e \u003cbr\u003e Series Preface.\u003cbr\u003e \u003cbr\u003e 1 Introduction.\u003cbr\u003e \u003cbr\u003e 1.1 Introductory Remarks.\u003cbr\u003e \u003cbr\u003e 1.2 Nonspatial Models for a Single Species.\u003cbr\u003e \u003cbr\u003e 1.3 Nonspatial Models For Interacting Species.\u003cbr\u003e \u003cbr\u003e 1.4 Spatial Models: A General Overview.\u003cbr\u003e \u003cbr\u003e 1.5 Reaction-Diffusion Models.\u003cbr\u003e \u003cbr\u003e 1.6 Mathematical Background.\u003cbr\u003e \u003cbr\u003e 2 Linear Growth Models for a Single Species: Averaging Spatial Effects Via Eigenvalues.\u003cbr\u003e \u003cbr\u003e 2.1 Eigenvalues, Persistence, and Scaling in Simple Models.\u003cbr\u003e \u003cbr\u003e 2.2 Variational Formulations of Eigenvalues: Accounting for Heterogeneity.\u003cbr\u003e \u003cbr\u003e 2.3 Effects of Fragmentation and Advection\/Taxis in Simple Linear Models.\u003cbr\u003e \u003cbr\u003e 2.4 Graphical Analysis in One Space Dimension.\u003cbr\u003e \u003cbr\u003e 2.5 Eigenvalues and Positivity.\u003cbr\u003e \u003cbr\u003e 2.6 Connections with Other Topics and Models.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e 3 Density Dependent Single-Species Models.\u003cbr\u003e \u003cbr\u003e 3.1 The Importance of Equilibria in Single Species Models.\u003cbr\u003e \u003cbr\u003e 3.2 Equilibria and Stability: Sub- and Supersolutions.\u003cbr\u003e \u003cbr\u003e 3.3 Equilibria and Scaling: One Space Dimension.\u003cbr\u003e \u003cbr\u003e 3.4 Continuation and Bifurcation of Equilibria.\u003cbr\u003e \u003cbr\u003e 3.5 Applications and Properties of Single Species Models.\u003cbr\u003e \u003cbr\u003e 3.6 More General Single Species Models.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e 4 Permanence.\u003cbr\u003e \u003cbr\u003e 4.1 Introduction.\u003cbr\u003e \u003cbr\u003e 4.2 Definition of Permanence.\u003cbr\u003e \u003cbr\u003e 4.3 Techniques for Establishing Permanence.\u003cbr\u003e \u003cbr\u003e 4.4 Invasibility Implies Coexistence.\u003cbr\u003e \u003cbr\u003e 4.5 Permanence in Reaction-Diffusion Models for Predation.\u003cbr\u003e \u003cbr\u003e 4.6 Ecological Permanence and Equilibria.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e 5 Beyond Permanence: More Persistence Theory.\u003cbr\u003e \u003cbr\u003e 5.1 Introduction.\u003cbr\u003e \u003cbr\u003e 5.2 Compressivity.\u003cbr\u003e \u003cbr\u003e 5.3 Practical Persistence.\u003cbr\u003e \u003cbr\u003e 5.4 Bounding Transient Orbits.\u003cbr\u003e \u003cbr\u003e 5.5 Persistence in Nonautonomous Systems.\u003cbr\u003e \u003cbr\u003e 5.6 Conditional Persistence.\u003cbr\u003e \u003cbr\u003e 5.7 Extinction Results.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e 6 Spatial Heterogeneity in Reaction-Diffusion Models.\u003cbr\u003e \u003cbr\u003e 6.1 Introduction.\u003cbr\u003e \u003cbr\u003e 6.2 Spatial Heterogeneity within the Habitat Patch.\u003cbr\u003e \u003cbr\u003e 6.3 Edge Mediated Effects.\u003cbr\u003e \u003cbr\u003e 6.4 Estimates and Consequences.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e 7 Nonmonotone Systems.\u003cbr\u003e \u003cbr\u003e 7.1 Introduction.\u003cbr\u003e \u003cbr\u003e 7.2 Predator Mediated Coexistence.\u003cbr\u003e \u003cbr\u003e 7.3 Three Species Competition.\u003cbr\u003e \u003cbr\u003e 7.4 Three Trophic Level Models.\u003cbr\u003e \u003cbr\u003e Appendix.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52293494309144,"sku":"9780471493013","price":160.26,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471493013.jpg?v=1781642413","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/spatial-ecology-via-reaction-diffusion-equations-hardback-9780471493013","provider":"Freshly Printed Books","version":"1.0","type":"link"}