Stability in a population model without random deaths by the Verhulst factor
Populations and Evolution
2015-05-19 v3 Biological Physics
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.
Cite
@article{arxiv.1007.4933,
title = {Stability in a population model without random deaths by the Verhulst factor},
author = {C. M. N. Pinol and R. S. Banzon},
journal= {arXiv preprint arXiv:1007.4933},
year = {2015}
}