具有离散扩散模型的随机非局部系统的寿命表

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-04-18 DOI:10.1142/s0219493722400172

T. Caraballo, F. Morillas, J. Valero

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引用次数: 0

摘要

本文研究了一类具有非局部离散扩散的随机微分方程组。对于两种类型的噪声，我们研究正解或概率解的存在性。此外，我们还分析了解的长期渐近行为，表明在适当的假设下，它们倾向于唯一确定性不动点的邻域。最后，我们进行了数值模拟，并讨论了结果在西班牙死亡率生命表中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a stochastic nonlocal system with discrete diffusion modeling life tables

In this paper, we study a stochastic system of differential equations with nonlocal discrete diffusion. For two types of noises, we study the existence of either positive or probability solutions. Also, we analyze the asymptotic behavior of solutions in the long term, showing that under suitable assumptions they tend to a neighborhood of the unique deterministic fixed point. Finally, we perform numerical simulations and discuss the application of the results to life tables for mortality in Spain.

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.