6533b7d9fe1ef96bd126cdd6
RESEARCH PRODUCT
On a Retarded Nonlocal Ordinary Differential System with Discrete Diffusion Modeling Life Tables
Francisco MorillasJosé Valerosubject
General Mathematicslattice dynamical systemslife tables010103 numerical & computational mathematics:CIENCIAS ECONÓMICAS [UNESCO]01 natural sciencesStability (probability)010104 statistics & probabilitydiscrete nonlocal diffusion problemsComputer Science (miscellaneous)Applied mathematics0101 mathematicsDiffusion (business)Engineering (miscellaneous)MathematicsDiffusion modelingSmoothness (probability theory)Computer simulationlcsh:MathematicsUNESCO::CIENCIAS ECONÓMICASlcsh:QA1-939Symmetry (physics)Ordinary differential systemordinary differential equationsOrdinary differential equationretarded equationsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-01-22 | Mathematics |