<p>In this paper, we establish an <i>S</i><sub><i>h</i></sub><i>I</i><sub><i>h</i></sub><i>A</i><sub><i>h</i></sub><i>S</i><sub><i>v</i></sub><i>I</i><sub><i>v</i></sub><i>W</i> model to investigate the impact of media communication on the transmission mechanism of dengue fever. Firstly, the basic reproduction number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11766_2025_5191_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{R}_{0}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <msub> <mrow> <mi mathvariant="script">R</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> of the model is obtained by using the method of the next generation matrix. It shows that disease-free equilibrium is globally asymptotically stable when <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11766_2025_5191_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{R}_{0}&lt;1\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <msub> <mrow> <mi mathvariant="script">R</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>&lt;</mo> <mn>1</mn> </math></EquationSource> </InlineEquation>; the disease is uniformly persistent when <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11766_2025_5191_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cal{R}_{0}&gt;1\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <msub> <mrow> <mi mathvariant="script">R</mi> </mrow> <mrow> <mn>0</mn> </mrow> </msub> <mo>&gt;</mo> <mn>1</mn> </math></EquationSource> </InlineEquation>. Secondly, we select dengue fever case data from Guangdong Province from 2006 to 2019 for numerical simulations and predict its development trend. Finally, we conduct parameter sensitivity analysis, and the results show that increasing media publicity can to some extent reduce the number of patients.</p>

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A dengue epidemic model with the impact of media influence

  • Xia Qiao,
  • Tai-lei Zhang,
  • Yue Hou

摘要

In this paper, we establish an ShIhAhSvIvW model to investigate the impact of media communication on the transmission mechanism of dengue fever. Firstly, the basic reproduction number \(\cal{R}_{0}\) R 0 of the model is obtained by using the method of the next generation matrix. It shows that disease-free equilibrium is globally asymptotically stable when \(\cal{R}_{0}<1\) R 0 < 1 ; the disease is uniformly persistent when \(\cal{R}_{0}>1\) R 0 > 1 . Secondly, we select dengue fever case data from Guangdong Province from 2006 to 2019 for numerical simulations and predict its development trend. Finally, we conduct parameter sensitivity analysis, and the results show that increasing media publicity can to some extent reduce the number of patients.