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Stability and Complexity in Model Ecosystems
Robert M. May,N. MacDonald +1 more
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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 263read more
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Scale as Modifier in Vegetation Diversity Experiments: Effects on Herbivores and Predators
Riccardo Bommarco,John E. Banks +1 more
TL;DR: A meta-analysis of literature reviews and meta-analyses suggesting general trends of herbivore declines associated with increased vegetation diversity may be misleading suggests that effects of vegetation diversification may be enhanced when insects can move uninhibited among control and treatment plots in small scale experiments.
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Climate causes large-scale spatial synchrony in population fluctuations of a temperate herbivore
Vidar Grøtan,Bernt-Erik Sæther,Steinar Engen,Erling Johan Solberg,John D. C. Linnell,Reidar Andersen,Henrik Brøseth,Erik Lund +7 more
TL;DR: In this paper, the authors estimate the spatial scaling of the component that is due to environmental stochasticity in the population dynamics of roe deer (Capreolus capreolaus) in Norway.
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Bifurcations of a predator–prey system of Holling and Leslie types☆
Yilong Li,Dongmei Xiao +1 more
TL;DR: In this paper, a predator-prey model with simplified Holling type-IV functional response and Leslie type predator's numerical response is considered, and it is shown that the model has two non-hyperbolic positive equilibria for some values of parameters, one is a cusp of co-dimension 2 and the other is a multiple focus of multiplicity one.
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Food web complexity and chaotic population dynamics
Gregor F. Fussmann,Gerd Heber +1 more
TL;DR: This work determined the dynamical stability of a universe of mathematical, nonlinear food web models with varying degrees of organizational complexity and found that the frequency of unpredictable, chaotic dynamics increases with the number of trophic levels in a food web but decreases with the degree of complexity.