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.

中文翻译：

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具有离散扩散建模寿命表的时滞非局部常微分系统

在本文中，我们考虑一个具有非局部离散扩散和有限延迟以及有限或无限数量方程的常微分方程组。我们证明了解决方案的一些特性，例如比较，稳定性和对称性。我们创建了一个数值模拟，表明该模型可以适用于对精算或人口科学中的动态寿命表进行建模。通过这种方式，与经典技术相比，可以改善一些良好和平滑的指标。