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

✍ Scribed by Chrysline Margus N. Piñol; Ronald S. Banzon


Book ID
103884581
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
288 KB
Volume
390
Category
Article
ISSN
0378-4371

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✦ Synopsis


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.