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Stability in a population model without random deaths by the Verhulst factor
Authors:Chrysline Margus N Piñol  Ronald S Banzon
Institution:
  • a National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, Philippines
  • b Institute of Mathematical Sciences and Physics, University of the Philippines, Los Baños, Laguna 4031, Philippines
  • 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
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