On a stochastic nonlocal system with discrete diffusion modeling life tables

Abstract

In this paper we study an stochastic system of differential equations with nonlocal discrete diffusion. For two type of noises we study the existence of either positive or probability solutions. Also, we analyse the asymptotic behaviour of solutions in the long term, showing that under suitable assumptions they tend to a neighborhood of the unique deterministic fixed point. Finally, we perform numerical simulations and discuss the application of the results to life tables for mortality in Spain.