Modelling and Analysis of Effect of Awareness Programs by Media on the Spread of COVID-19 Pandemic Disease

IF 1.1 Q2 MATHEMATICS, APPLIED Mathematics in Computer Science Pub Date : 2020-12-11 DOI:10.11648/j.mcs.20200505.12
Fekadu Tadege Kobe
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引用次数: 2

Abstract

This paper proposes and analyses a basic deterministic mathematical model to investigate Modeling and Analysis of effect of awareness program by media on the spread COVID-19 Pandemic Disease. The model has seven non-linear differential equations, which describe the effects of awareness programs by media on the spread of COVID-19 Pandemic diseases. Analytical study carried out to investigate the model analysis and existence of stability of system, given threshold parameters known as the basic reproduction number, which obtained using next generation matrix method. The equilibrium of COVID 19 models is determined. In addition to having a disease-free equilibrium, which is globally asymptotically stable when the basic reproduction number less than one, COVID 19 model manifest one's possession of (a quality of) the phenomenon of backward bifurcation where a stable disease-free equilibrium co-exists (at the same time) with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The analysis and simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of COVID 19 pandemic were suggest using that awareness programs through the media campaigning are helpful in decreasing the spread of COVID 19 Pandemic diseases by isolating a fraction of susceptible from infective.
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媒体宣传项目对COVID-19大流行疾病传播影响的建模与分析
本文提出并分析了一个基本的确定性数学模型,用于研究媒体宣传计划对COVID-19大流行疾病传播影响的建模与分析。该模型有7个非线性微分方程,描述了媒体宣传计划对COVID-19大流行疾病传播的影响。在给定阈值参数(即基本再现数)的情况下,采用下一代矩阵法对系统的模型分析和稳定性进行了分析研究。确定了COVID - 19模型的均衡性。COVID - 19模型除了具有当基本繁殖数小于1时全局渐近稳定的无病平衡外,还具有在相关繁殖数小于1的一定范围内稳定的无病平衡与稳定的地方性平衡共存的后向分岔现象(性质)。模型的分析和模拟结果表明,通过媒体宣传活动的意识项目有助于通过隔离一部分易感人群和感染者来减少COVID - 19大流行疾病的传播,从而提出了控制或根除COVID - 19大流行传播的最有效策略。
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来源期刊
Mathematics in Computer Science
Mathematics in Computer Science MATHEMATICS, APPLIED-
CiteScore
1.40
自引率
12.50%
发文量
23
期刊介绍: Mathematics in Computer Science publishes high-quality original research papers on the development of theories and methods for computer and information sciences, the design, implementation, and analysis of algorithms and software tools for mathematical computation and reasoning, and the integration of mathematics and computer science for scientific and engineering applications. Insightful survey articles may be submitted for publication by invitation. As one of its distinct features, the journal publishes mainly special issues on carefully selected topics, reflecting the trends of research and development in the broad area of mathematics in computer science. Submission of proposals for special issues is welcome.
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