带有控制器的COVID-19生长动态系统。

IF 4.1 3区 数学 Q1 Mathematics
Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-01-07 DOI:10.1186/s13662-020-03168-w
Rabha W Ibrahim, Dania Altulea, Rafida M Elobaid
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引用次数: 4

摘要

近年来,各种研究都在描述covid-19的种群动态。在这项工作中,我们的目标是通过使用控制器术语来引入不同的生长激活。我们的方法是基于可调微积分的概念,其中涉及到这个术语。我们研究了一个包含感染和无症状特征之间扩散动力学的耦合微分方程组。由于社会分离,强控制被考虑。结果与总体的宏观规律联系在一起。这种动态系统有助于识别感染增长率的行为,并确认其控制是否正确发挥作用。研究了自映射性质下的唯一解。利用积分控制检验了解的周期性,并讨论了最优控制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Dynamical system of the growth of COVID-19 with controller.

Dynamical system of the growth of COVID-19 with controller.

Dynamical system of the growth of COVID-19 with controller.

Dynamical system of the growth of COVID-19 with controller.

Recently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

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来源期刊
自引率
0.00%
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0
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.
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