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Stability and complexity in model ecosystems.

Robert M. May
- Vol. 6, pp 1-235
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The article was published on 1973-01-01 and is currently open access. It has received 5524 citations till now.

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Thresholds, breakpoints, and nonlinearity in freshwaters as related to management

TL;DR: In this paper, a mechanistic understanding of ecological dynamics is required to predict thresholds, where they will occur, and if they are associated with the occurrence of alternative stable states in streams.
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On Global Stability of a Predator-Prey System

TL;DR: A two-dimensional model for predator-prey interaction and two criteria for global stability of the locally stable equilibrium are presented, making the graphical method of Rosenzweig and MacArthur more significant.
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Niche Breadth, Resource Availability, and Inference

Eric P. Smith
- 01 Dec 1982 - 
TL;DR: Methods are developed for comparing breadth measures, testing a breadth measure equal to a given value, and for estimating confidence intervals and a new breadth measure is presented which has good statistical properties and is related to some commonly used niche overlap measures.
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Competitive interactions between california reef fishes of the genus embiotoca

TL;DR: Embiotoca lateralis and E. jacksoni are very similar morphologically and exhibit the greatest dietary overlap within a guild of microcarnivorous subtidal reef fishes off Santa Barbara, California, but each species occupies all reef depths and commonly forages over both food substrates in allopatry.
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Competition Among Immatures Affects Their Adult Fertility: Population Dynamics

TL;DR: The widespread occurrence of this delay effect of competition among immatures on their subsequent fertility is documented, justifying the study of some of the theoretical consequences of equation (1), which describes the one-to-two mapping of the number of adults from one generation to the next.