Research on nonlinear infectious disease models influenced by media factors and optimal control
In this article, a mathematical model was developed to describe disease control by media factors. The Lambert W function was used to convert the system definition by implicit functions into explicit functions. We analyzed the dynamics of the defined piecewise smooth system and verified the correctne...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024172?viewType=HTML |
| _version_ | 1797341276088041472 |
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| author | Danni Wang Hongli Yang Liangui Yang |
| author_facet | Danni Wang Hongli Yang Liangui Yang |
| author_sort | Danni Wang |
| collection | DOAJ |
| description | In this article, a mathematical model was developed to describe disease control by media factors. The Lambert W function was used to convert the system definition by implicit functions into explicit functions. We analyzed the dynamics of the defined piecewise smooth system and verified the correctness of the theoretical analysis through numerical simulation. Research revealed that media factors can delay the peak of an epidemic and reduce the scale of the epidemic. It is worth noting that adopting different control measures has a certain impact on the scale of the epidemic; the analysis results indicate that implementing dual-control is the most effective way to limit the spread of diseases and this strategy may provide clues for disease control. |
| first_indexed | 2024-03-08T10:15:36Z |
| format | Article |
| id | doaj.art-569e39e9099c4bde8f40732b01c3b96a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T10:15:36Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-569e39e9099c4bde8f40732b01c3b96a2024-01-29T01:15:55ZengAIMS PressAIMS Mathematics2473-69882024-01-01923505352010.3934/math.2024172Research on nonlinear infectious disease models influenced by media factors and optimal controlDanni Wang0Hongli Yang1Liangui Yang2School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaIn this article, a mathematical model was developed to describe disease control by media factors. The Lambert W function was used to convert the system definition by implicit functions into explicit functions. We analyzed the dynamics of the defined piecewise smooth system and verified the correctness of the theoretical analysis through numerical simulation. Research revealed that media factors can delay the peak of an epidemic and reduce the scale of the epidemic. It is worth noting that adopting different control measures has a certain impact on the scale of the epidemic; the analysis results indicate that implementing dual-control is the most effective way to limit the spread of diseases and this strategy may provide clues for disease control.https://www.aimspress.com/article/doi/10.3934/math.2024172?viewType=HTMLsir epidemic modeloptimal controldynamicmedia factorslambert w function |
| spellingShingle | Danni Wang Hongli Yang Liangui Yang Research on nonlinear infectious disease models influenced by media factors and optimal control AIMS Mathematics sir epidemic model optimal control dynamic media factors lambert w function |
| title | Research on nonlinear infectious disease models influenced by media factors and optimal control |
| title_full | Research on nonlinear infectious disease models influenced by media factors and optimal control |
| title_fullStr | Research on nonlinear infectious disease models influenced by media factors and optimal control |
| title_full_unstemmed | Research on nonlinear infectious disease models influenced by media factors and optimal control |
| title_short | Research on nonlinear infectious disease models influenced by media factors and optimal control |
| title_sort | research on nonlinear infectious disease models influenced by media factors and optimal control |
| topic | sir epidemic model optimal control dynamic media factors lambert w function |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024172?viewType=HTML |
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