Special Session 13: Nonlinear differential and difference equations with applications to population dynamics

Impact of threshold harvesting on the dynamics of age-structured populations

Elisa Sovrano
University of Modena and Reggio Emilia (UNIMORE), Italy
Italy
Co-Author(s):    E. Liz (University of Vigo)
Abstract:
In this talk, we investigate the impact of threshold harvesting rules on discrete-time population models with age structure. Specifically, we analyze how different thresholds for each age class influence the dynamics of the population. We discuss the existence of equilibria and their stability. We establish precise conditions for hydra effects and demonstrate that harvesting does not destabilize globally stable equilibria. In addition, our research yields insights into the emergence of unusual bifurcations, such as border-collision bifurcations. This is joint work with E. Liz (University of Vigo).