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<p>The manuscript presents a biologically based mathematical model describing the transmission dynamics of infectious diseases. Due to the spread of disease in the population, media-related information is taken into consideration. A separate rate equation is used to explain the dynamics of information, and it is assumed that the information’s growth is proportional to the density of infected individuals and exposed individuals. The model takes into account the impact of information during an epidemic outbreak when medical treatment options are limited. We perform qualitative behavior of the model including positivity and boundedness of the system. Proposed model has two biologically feasible equilibrium points, namely disease-free and interior steady state. The next-generation matrix method was utilized to calculate the models basic reproduction number. We performed global stability analysis for disease-free steady state as well as interior steady state with respect to the basic reproduction number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2025_2387_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathcal {R}}_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>. We study the normalized forward sensitivity analysis for basic reproduction number and observed that in mitigating the constant inflow rate of unaware susceptible individuals is the most important factor in attaining disease control. We performed sensitivity and uncertainty analysis to identify the most influential parameters. Partial Rank Correlation Coefficient and scatter plots are used to visualize global sensitivity. Our numerical results suggest that the media-related awareness has an important impact in mitigating the disease peak.</p>

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Effect of media awareness in the spread of infectious diseases

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Sumana Ghosh,
  • Jayanta Mondal,
  • Subhas Khajanchi

摘要

The manuscript presents a biologically based mathematical model describing the transmission dynamics of infectious diseases. Due to the spread of disease in the population, media-related information is taken into consideration. A separate rate equation is used to explain the dynamics of information, and it is assumed that the information’s growth is proportional to the density of infected individuals and exposed individuals. The model takes into account the impact of information during an epidemic outbreak when medical treatment options are limited. We perform qualitative behavior of the model including positivity and boundedness of the system. Proposed model has two biologically feasible equilibrium points, namely disease-free and interior steady state. The next-generation matrix method was utilized to calculate the models basic reproduction number. We performed global stability analysis for disease-free steady state as well as interior steady state with respect to the basic reproduction number \({\mathcal {R}}_0\) R 0 . We study the normalized forward sensitivity analysis for basic reproduction number and observed that in mitigating the constant inflow rate of unaware susceptible individuals is the most important factor in attaining disease control. We performed sensitivity and uncertainty analysis to identify the most influential parameters. Partial Rank Correlation Coefficient and scatter plots are used to visualize global sensitivity. Our numerical results suggest that the media-related awareness has an important impact in mitigating the disease peak.