On the Distribution of Dominance in Populations of Social Organisms
- 1 October 1992
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 52 (5), 1442-1468
- https://doi.org/10.1137/0152083
Abstract
Bumble bees may possess a scalar character called dominance, which changes according to certain rules as a result of encounters between pairs of organisms. An equation for the distribution of dominance in a population is derived based on a set, of plausible axioms. The resulting Boltzmann-like integrodifferential equation is analyzed, analytically and/or numerically, for certain important special cases.Keywords
This publication has 10 references indexed in Scilit:
- Primate Social SystemsPublished by Springer Nature ,1988
- Boundary behavior of diffusion approximations to Markov jump processesJournal of Statistical Physics, 1986
- Pattern Generation in Space and AspectSIAM Review, 1985
- The ontogeny of the interaction structure in bumble bee colonies: A MIRROR modelBehavioral Ecology and Sociobiology, 1983
- Models of the influence of predation on aspect diversity in prey populationsJournal of Mathematical Biology, 1982
- The ontogeny of the social structure in a captive Bombus terrestris colonyBehavioral Ecology and Sociobiology, 1981
- A Maturity-Time Representation for Cell PopulationsBiophysical Journal, 1968
- On dominance relations and the structure of animal societies: III The condition for a score structureBulletin of Mathematical Biology, 1953
- On dominance relations and the structure of animal societies: I. Effect of inherent characteristicsBulletin of Mathematical Biology, 1951
- Outline of a probabilistic approach to animal sociology: IBulletin of Mathematical Biology, 1949