Mass Extinction in a Simple Mathematical Biological Model

Details Mass Extinction in a Simple Mathematical Biological Model Mass Extinction in a Simple Mathematical Biological Model

1997-02-19

arxiv.org/abs/adap-org/9702004v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

4 pages

Scientific paper

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.

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