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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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Extinction Thresholds and Metapopulation Persistence in Dynamic Landscapes

TL;DR: A lattice metapopulation model, of the patch occupancy type, based on interacting particle systems that incorporate explicitly both metAPopulation and patch dynamics is developed, and how extinction thresholds are quantitatively overestimated by the MF equations is shown.
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Species richness and the temporal stability of biomass production: A new analysis of recent biodiversity experiments

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Population growth in space and time: spatial logistic equations

TL;DR: In this paper, an individual-based model (IBM) with spatially localized dispersal and competition, and a deterministic approximation to the IBM describing the dynamics of the first and second spatial moments are described.