The improvements in implementation of irrigation projects in Peruvian Andes needs to give a multidisciplinary approach that involves mainly the participation of anthropologists and engineers. The sustainability of such projects is measured mainly by the economic profit and the organizations strength. Due the complexity of these factors some unexpected effects have appeared for the sustainability of the projects already implemented in the Chumbivilcas province where the overproduction generated an unexpected phenomenon of economic recession. To overcome this problem, a new mathematical model was developed. In the conceptualization phase of the model, approximately 285 variables were identified and system dynamics were used to perform the simulations required for the model developed. The results of the simulation have been compared with historical data showing consistency among themselves in the dimensions of production and price determination among the most importants.