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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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The stability of real ecosystems

TL;DR: In this paper, the authors constructed plausible community matrices corresponding to 40 real food webs and studied their local stability properties, finding that stability is far more likely if the interaction strengths are chosen in accord with the nature of the particular organisms in each food web, rather than strictly at random.
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Vaccination against rubella and measles: quantitative investigations of different policies.

TL;DR: It is shown that immunization programmes can, under some circumstances, increase the total number of cases among older age groups; the implications for the overall incidence of measles encephalitis and of congenital rubella syndrome are examined.
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On the differential equations of species in competition.

TL;DR: It is shown that the ordinary differential equation commonly used to describe competing species are compatible with any dynamical behavior provided the number of species in very large.
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Competition for Space, Disturbance, and the Structure of a Benthic Stream Community

Joseph R. McAuliffe
- 01 Jun 1984 - 
TL;DR: Interspecific competition for space limits the distribution and abundance of many ben- thic insects on stones in a western Montana stream and physical disturbances interrupt the formation of competitive monopolies by Leucotrichia.
Journal ArticleDOI

Multistationarity, the basis of cell differentiation and memory. I. Structural conditions of multistationarity and other nontrivial behavior.

TL;DR: The core of the paper is comprised of a formal description of feedback circuits and unions of disjoint circuits, and a normalization of the system versus one of the circuits, which permits an entirely general description in terms of a common diagram in the "circuit space."