Analysis and Simulation of the Beverton-Holt Model with Allee Effect and Overpopulation Penalty

In this work, the Beverton-Holt model and its parameters will be focused on. In addition, the equilibrium points and stability will be studied based on the latter and said equation will be solved. Once the original model has been described, the parallel stability analysis will be carried out on some modified models to better assimilate them to the real cases that occur in nature. These modifications are the Allee effect and penalty for excess of population. Finally, the use of population dynamics evolution equations in the fishing industry will be studied, presenting an example with the support of the Beverton-Holt model.