English

An ecosystem with Holling type II response and predators' genetic variability

Dynamical Systems 2014-03-19 v1 Populations and Evolution

Abstract

A new model to investigate environmental effects of genetically distinguishable predators is presented. The Holling type II response function, modelling feeding satiation, leads to persistent system's oscillations, as in classical population models. An almost complete classification of the cases arising in the Routh-Hurwitz stability conditions mathematically characterizes the paper. It is instrumental as a guideline in the numerical experiments leading to the findings on the limit cycles. This result extends what found in an earlier parallel investigation containing a standard bilinear response function.

Keywords

Cite

@article{arxiv.1403.4408,
  title  = {An ecosystem with Holling type II response and predators' genetic variability},
  author = {Clara Viberti and Ezio Venturino},
  journal= {arXiv preprint arXiv:1403.4408},
  year   = {2014}
}
R2 v1 2026-06-22T03:28:57.637Z