Stability, bifurcations and hydra effects in a stage-structured population model with threshold harvesting

In this paper, we investigate the dynamics of a discrete-time stage-structured population model where juveniles and adults may be subject to threshold harvesting. This management policy allows harvesting target only if its size exceeds predetermined threshold. It is commonly used for maintaining biomass, obtaining higher yield, preventing collapse. We focus on response structured populations study how they can affected by considering different thresholds each age class. find all possible equilibria system analyze their stability; show that does not destabilize globally stable equilibria. discuss when hydra effects occur, more specifically, determine adult increase at equilibrium in an per-capita mortality rate as consequence A rigorous 2-parameter bifurcation diagram given semelparous populations, which helps understand general case survivorship rates are low. Numerical results complement analysis case.