Mass Extinction in a Simple Mathematical Biological Model

Kei Tokita; Ayumu Yasutomi

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arXiv · adap-org/9702004

Mass Extinction in a Simple Mathematical Biological Model

Kei Tokita·Ayumu Yasutomi

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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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Kei Tokita, Ayumu Yasutomi. 1997-02-19. Mass Extinction in a Simple Mathematical Biological Model. https://arxiv.org/abs/adap-org/9702004

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