Stability in a population model without random deaths by the Verhulst factor

Issue Date

7-2010

Abstract

A large amount of population models use the concept of a carrying capacity. Simulated populations are bounded by invoking finite resources through a survival probability, commonly referred to as the Verhulst factor. The fact, however, that resources are not easily accounted for in actual biological systems makes the carrying capacity parameter ill-defined. Henceforth, we deem it essential to consider cases for which the parameter is unnecessary. This work demonstrates the possibility of Verhulst-free steady states using the Penna aging model, with one semelparous birth per adult. Stable populations are obtained by setting a mutation threshold that is higher than the reproduction age. © 2010 Elsevier B.V. All rights reserved.

Source or Periodical Title

Physica A: Statistical Mechanics and its Applications

ISSN

0378-4371

Volume

390

Issue

7

Page

1295-1299

Document Type

Article

Physical Description

graphs

Language

English

Subject

Aging, Carrying capacity, Penna model, Population dynamics

Identifier

doi:10.1016/j.physa.2010.11.046.

Digital Copy

yes

Link to Full Text

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