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

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  • Piñol, Chrysline Margus N.
  • Banzon, Ronald S.

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.

Suggested Citation

  • Piñol, Chrysline Margus N. & Banzon, Ronald S., 2011. "Stability in a population model without random deaths by the Verhulst factor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1295-1299.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:7:p:1295-1299
    DOI: 10.1016/j.physa.2010.11.046
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