Spatial Ecology via Reaction-Diffusion Equations
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Spatial Ecology via Reaction-Diffusion Equations
Cantrell, Robert Stephen; Cosner, Chris
John Wiley & Sons Inc
09/2003
432
Dura
Inglês
9780471493013
15 a 20 dias
638
Descrição não disponível.
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
time; involve; phenomena; many; random; ecological; space; combination; processes; habitat fragmentation; effects; major; result; activity; human; conservation; common; biological; problem; models; movements; reactiondiffusion; one approach
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.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
