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

Chrysline Margus N. Piñol and Ronald S. Banzon

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 7, 1295-1299

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.

Keywords: Population dynamics; Carrying capacity; Aging; Penna model (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:7:p:1295-1299

DOI: 10.1016/j.physa.2010.11.046

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