随机扰动下COVID-19数学模型动力学。

IF 4.1 3区数学 Q1 Mathematics

Advances in Difference Equations Pub Date : 2020-01-01 Epub Date: 2020-08-28 DOI:10.1186/s13662-020-02909-1

Zizhen Zhang, Anwar Zeb, Sultan Hussain, Ebraheem Alzahrani

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引用次数: 59

摘要

考虑到在COVID-19的确定性模型中忽略的对人类的许多影响，本文考虑了COVID-19的随机数学模型。首先，给出了一个随机易感-感染-恢复模型的公式。第二，我们全力以赴，集中精力研究灭绝和持续存在的充分条件。第三，我们检验了所提出的随机COVID-19模型在噪声小或大时的阈值。最后，用MATLAB进行了图形化的数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Dynamics of COVID-19 mathematical model with stochastic perturbation.

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Dynamics of COVID-19 mathematical model with stochastic perturbation.

Acknowledging many effects on humans, which are ignored in deterministic models for COVID-19, in this paper, we consider stochastic mathematical model for COVID-19. Firstly, the formulation of a stochastic susceptible-infected-recovered model is presented. Secondly, we devote with full strength our concentrated attention to sufficient conditions for extinction and persistence. Thirdly, we examine the threshold of the proposed stochastic COVID-19 model, when noise is small or large. Finally, we show the numerical simulations graphically using MATLAB.

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来源期刊

Advances in Difference Equations 数学-数学

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.