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

Francisco Morillas and José Valero
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Francisco Morillas: Departament d’Economia Aplicada, Facultat d’Economia, Campus dels Tarongers s/n, Universitat de València, 46022 València, Spain
José Valero: Centro de Investigación Operativa, Avda. Universidad s/n, Universidad Miguel Hernández de Elche, 03202 Elche, Spain

Mathematics, 2021, vol. 9, issue 3, 1-27

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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