On a nonlocal discrete diffusion system modeling life tables (Q740738)

The authors study a system of ordinary differential equations with non-local discrete diffusion, which can be considered as a spatial discretization of a non-local reaction-diffusion equation. They prove several properties of solutions concerning comparison, stability, symmetry or the conservation of mass. They propose that this model can be appropriate to modeling dynamical life tables in actuarial or demographic sciences. The authors show that it allows to improve some indicators of goodness and smoothness when comparing with classical techniques.