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Stability and Complexity in Model Ecosystems
What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In , Robert May addressed these questions inExpand
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Stability and Complexity in Model Ecosystems
  • R. May, N. MacDonald
  • Environmental Science, Biology
  • IEEE Transactions on Systems, Man, and…
  • 21 August 1973
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:Expand
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Food webs.
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The reconstructed evolutionary process.
Phylogenies reconstructed from contemporary taxa do not contain information about lineages that have gone extinct. We derive probability models for such phylogenies, allowing real data to be comparedExpand
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Coevolution of hosts and parasites.
The coevolution of parasites and their hosts has both general biological interest and practical implications in agricultural, veterinary and medical fields. Surprisingly, most medical,Expand
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Nonlinear Aspects of Competition Between Three Species
It is shown that for three competitors, the classic Gause–Lotka–Volterra equations possess a special class of periodic limit cycle solutions, and a general class of solutions in which the systemExpand
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Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos
  • R. May
  • Mathematics, Medicine
  • Science
  • 15 November 1974
Some of the simplest nonlinear difference equations describing the growth of biological populations with nonoverlapping generations can exhibit a remarkable spectrum of dynamical behavior, fromExpand
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SUMMARY (1) Three categories of biological processes are shown to have a destabilizing influence on the dynamical behaviour of model host-parasite associations: parasite induced reduction in hostExpand
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Evolutionary game theory can be extended to include spatial dimensions. The individual players are placed in a two-dimensional spatial array. In each round every individual “plays the game” with itsExpand
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Extinction rates can be estimated from molecular phylogenies.
Molecular phylogenies can be used to reject null models of the way we think evolution occurred, including patterns of lineage extinction. They can also be used to provide maximum likelihood estimatesExpand
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