An Ecosystem with HTII Response and Predators’ Genetic Variability

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:

• mathematical ecogenetics
• genotype
• genetics
• ecoepidemics
• predator-prey

AMS Subject Classification:

• 92D25
• 92D10
• 92D40