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Mass Extinction in a Simple Mathematical Biological Model

K. Tokita,A. Yasutomi

Published 1997 in arXiv: Adaptation and Self-Organizing Systems

ABSTRACT

Introducing the effect of extinction into the so-called replicator equations in mathematical biology, we construct a general model of ecosystems. The present model shows mass extinction by its own extinction dynamics when the system initially has a large number of species ( diversity). The extinction dynamics shows several significant features such as a power law in basin size distribution, induction time, etc. The present theory can be a mathematical foundation of the species-area effect in the paleontologic theory for mass extinction.

PUBLICATION RECORD

  • Publication year

    1997

  • Venue

    arXiv: Adaptation and Self-Organizing Systems

  • Publication date

    1997-02-19

  • Fields of study

    Biology, Mathematics, Physics, Environmental Science

  • Identifiers
    arXiv adap-org/9702004
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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