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Produktbild: Spatial Ecology Via Reaction-Diffusion Equations

Spatial Ecology Via Reaction-Diffusion Equations

Aus der Reihe Wiley Series in Mathematical and Computational Biology

Fr. 293.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.10.2003

Verlag

John Wiley & Sons Inc

Seitenzahl

432

Maße (L/B/H)

26/18.3/2.7 cm

Gewicht

997 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-471-49301-3

Beschreibung

Rezension

"...particularly attractive and useful for graduate students and other researchers who are interested in studying applications of reaction-diffusion theory to spatial ecology." ( Mathematical Reviews , Issue 2007a)
"...I would recommend this book to anyone who wants a well supported journey into the modern theory of partial differential equations and dynamic systems..." ( The Mathematical Gazette , March 2005)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.10.2003

Verlag

John Wiley & Sons Inc

Seitenzahl

432

Maße (L/B/H)

26/18.3/2.7 cm

Gewicht

997 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-0-471-49301-3

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Spatial Ecology Via Reaction-Diffusion Equations
  • Preface.
     
    Series Preface.
     
    1 Introduction.
     
    1.1 Introductory Remarks.
     
    1.2 Nonspatial Models for a Single Species.
     
    1.3 Nonspatial Models For Interacting Species.
     
    1.4 Spatial Models: A General Overview.
     
    1.5 Reaction-Diffusion Models.
     
    1.6 Mathematical Background.
     
    2 Linear Growth Models for a Single Species: Averaging Spatial Effects Via Eigenvalues.
     
    2.1 Eigenvalues, Persistence, and Scaling in Simple Models.
     
    2.2 Variational Formulations of Eigenvalues: Accounting for Heterogeneity.
     
    2.3 Effects of Fragmentation and Advection/Taxis in Simple Linear Models.
     
    2.4 Graphical Analysis in One Space Dimension.
     
    2.5 Eigenvalues and Positivity.
     
    2.6 Connections with Other Topics and Models.
     
    Appendix.
     
    3 Density Dependent Single-Species Models.
     
    3.1 The Importance of Equilibria in Single Species Models.
     
    3.2 Equilibria and Stability: Sub- and Supersolutions.
     
    3.3 Equilibria and Scaling: One Space Dimension.
     
    3.4 Continuation and Bifurcation of Equilibria.
     
    3.5 Applications and Properties of Single Species Models.
     
    3.6 More General Single Species Models.
     
    Appendix.
     
    4 Permanence.
     
    4.1 Introduction.
     
    4.2 Definition of Permanence.
     
    4.3 Techniques for Establishing Permanence.
     
    4.4 Invasibility Implies Coexistence.
     
    4.5 Permanence in Reaction-Diffusion Models for Predation.
     
    4.6 Ecological Permanence and Equilibria.
     
    Appendix.
     
    5 Beyond Permanence: More Persistence Theory.
     
    5.1 Introduction.
     
    5.2 Compressivity.
     
    5.3 Practical Persistence.
     
    5.4 Bounding Transient Orbits.
     
    5.5 Persistence in Nonautonomous Systems.
     
    5.6 Conditional Persistence.
     
    5.7 Extinction Results.
     
    Appendix.
     
    6 Spatial Heterogeneity in Reaction-Diffusion Models.
     
    6.1 Introduction.
     
    6.2 Spatial Heterogeneity within the Habitat Patch.
     
    6.3 Edge Mediated Effects.
     
    6.4 Estimates and Consequences.
     
    Appendix.
     
    7 Nonmonotone Systems.
     
    7.1 Introduction.
     
    7.2 Predator Mediated Coexistence.
     
    7.3 Three Species Competition.
     
    7.4 Three Trophic Level Models.
     
    Appendix.
     
    References.
     
    Index.