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Coevolution in Ecological Systems: Results from “Loop Analysis” for Purely Density-Dependent Coevolution

  • Jonathan Roughgarden
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 19)

Abstract

Much of the theory of population ecology is concerned with predicting equilibrium population size on the basis of assumptions about the interactions between populations. Familiar population interactions are interspecific competition, predation, symbiosis including parasitism and mutualism, and others. Recent years have witnessed the proliferation of equations which model these interactions in ways especially suited for certain species. Most population dynamic models predict that the interacting populations will attain stable equilibrium abundance provided the parameters in the model satisfy certain requirements which are special to each model. Many models also allow for other possibilities including cycling of various forms. Nonetheless almost all models contain stable coexistence at an equilibrium point as one of the possibilities.

Keywords

Ecological System Stable Equilibrium Stable Equilibrium Point Evolutionary Control Population Dynamic Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chen, W. 1971. Applied Graph Theory, North Holland Pub. Co. Pp. 484.Google Scholar
  2. Levins, R. 1974. The qualitative analysis of partially specified systems in mathematical analysis of fundamental biological phenomena. Annals of the New York Acad. of Sci. 231: 123–138.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • Jonathan Roughgarden

There are no affiliations available

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