Simulations of an impulsive model for the growth of fruit trees

Abstract

Mediterranean agricultural systems have been severely affected because of the decrease in rainfall and more frequent and severe droughts due to the global warming phenomenon. The current and future scenario of water deficit could have a negative effect on the growth and development rates of the fruit trees, reflected in the drop of production. To help to face this problem, this work presents a mathematical simulation model of fruit growth with two-time scales: a continuous scale that governs the dynamics of fruit growth and a discrete scale representing the period of time in which the system is intervened with irrigation supply. The results obtained in the simulations allow us to describe and understand the physical phenomena involved in the growth dynamics of fruit trees. In addition, show the importance of the water resource for the growth and development of fruit trees; therefore, a scenario of water deficit would compromise the production and existence of fruit trees.