The limit behavior of SEIRS model in spatial grid

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-03-12 DOI:10.1142/s0219493722400081

Hongjun Gao, Shuaipeng Liu, Yeyu Xiao

引用次数: 0

Abstract

In this paper, we study a SEIRS model with Neumann boundary condition for a population distributed in a spatial grid. We first discuss the existence and uniqueness of global positive solution with any given positive initial value. Next, we introduce the basic reproduction number of this model. Then we consider the relation between the system of PDE and the discrete ODE model. Finally, we consider the stochastic model and give two laws of large numbers.

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空间网格中SEIRS模型的极限行为

本文研究了具有Neumann边界条件的空间网格人口SEIRS模型。首先讨论了任意给定正初值的全局正解的存在唯一性。接下来，我们将介绍该模型的基本复制数。在此基础上，研究了PDE系统与离散ODE模型之间的关系。最后，我们考虑了随机模型，给出了两个大数定律。

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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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.