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Stability and Complexity in Model Ecosystems

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Preface vii Preface to the Second Edition Biology Edition 1.
Abstract
Preface vii Preface to the Second Edition Biology Edition 1. Intoduction 3 2. Mathematical Models and Stability 13 3. Stability versus Complexity in Multispecies Models 4. Models with Few Species: Limit Cycles and Time Delays 79 5. Randomly Fluctuating Environments 109 6. Niche Overlap and Limiting Similarity 139 7. Speculations 172 Appendices 187 Afterthoughts for the Second Edition 211 Bibliography to Afterthoghts 234 Bibliography 241 Author Index 259 Subject Index 263

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Journal ArticleDOI

The Fallacies of "Ratio‐Dependent" Predation

Peter A. Abrams
- 01 Sep 1994 - 
TL;DR: It is argued that such “ratio—dependent” functional responses are very unlikely to occur on theoretical grounds and have not been shown empirically, and the use of ratio—dependent models can not be justified as a limiting case of more general predator-dependent models.
Journal ArticleDOI

Variability in the abundance of animal and plant species

TL;DR: It is shown here that the relationship between variability and average abundance can be a simple, and inevitable, consequence of chance demographic events in the dynamics of population growth and decline.
Book ChapterDOI

Quantification and Resolution of a Complex, Size-Structured Food Web

TL;DR: A selection of photographs from around the world showing how the natural disasters of the 21st Century have changed the way people view the world in a variety of ways are depicted.
Journal ArticleDOI

MacArthur's consumer-resource model

TL;DR: Statistical measures of association between the utilization functions of different species are developed to show how coexistence conditions can be expressed in simple and understandable ways without the need to introduce strong symmetry assumptions.
Journal ArticleDOI

Recolonization of red sea corals affected by natural catastrophes and man-made perturbations'

Yossi Loya
- 01 Mar 1976 - 
TL;DR: One of the differences between man-made polluting activities and natural catastrophes on coral reefs, is the possibility that the human- perturbed environment will not return to its former configuration, while reconstitution of reef areas denuded by natural disturbances is mainly a function of time.