On a Retarded Nonlocal Ordinary Differential System with Discrete Diffusion Modeling Life Tables

Abstract

In this paper, we consider a system of ordinary differential equations with non-local discrete diffusion and finite delay and with either a finite or an infinite number of equations. We prove several properties of solutions such as comparison, stability and symmetry. We create a numerical simulation showing that this model can be appropriate to model dynamical life tables in actuarial or demographic sciences. In this way, some indicators of goodness and smoothness are improved when comparing with classical techniques.

Keywords

• lattice dynamical systems
• ordinary differential equations
• discrete nonlocal diffusion problems
• retarded equations
• life tables