Mass Extinction in a Simple Mathematical Biological Model
adap-org
2008-02-03 v1 Adaptation and Self-Organizing Systems
q-bio
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.
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Cite
@article{arxiv.adap-org/9702004,
title = {Mass Extinction in a Simple Mathematical Biological Model},
author = {Kei Tokita and Ayumu Yasutomi},
journal= {arXiv preprint arXiv:adap-org/9702004},
year = {2008}
}
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4 pages