Dynamic behavior of swine influenza transmission during the breed-slaughter process
Global influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmis...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2020312?viewType=HTML |
| _version_ | 1818650375067009024 |
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| author | Fangyuan Chen Rong Yuan |
| author_facet | Fangyuan Chen Rong Yuan |
| author_sort | Fangyuan Chen |
| collection | DOAJ |
| description | Global influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmission with human-pig interaction. In this paper, a new breed-slaughter model with swine influenza transmission is proposed, and the equilibrium points of the model are calculated subsequently. Meanwhile, we analyze the existence of the equilibrium points by the persistence theory, and discuss their stability by the basic reproduction number. And then, we focus on the invasion process of infected domestic animals into the habitat of humans. Under certain conditions as in Theorem 2, we construct a propagating terrace linking human habitat to animal-human coexistent habitat, then to swine flu natural foci, which is divided by spreading speeds. |
| first_indexed | 2024-12-17T01:49:13Z |
| format | Article |
| id | doaj.art-2eee710b8c1141dbb37c90c361c2e9a8 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-17T01:49:13Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-2eee710b8c1141dbb37c90c361c2e9a82022-12-21T22:08:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-09-011755849586310.3934/mbe.2020312Dynamic behavior of swine influenza transmission during the breed-slaughter processFangyuan Chen0Rong Yuan1School of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaSchool of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaGlobal influenza pandemics have brought about various public health crises, such as the 2009 H1N1 swine flu. Actually, most swine influenza infections occur during the breed-slaughter process. However, there is little research about the mathematical model to elaborate on the swine influenza transmission with human-pig interaction. In this paper, a new breed-slaughter model with swine influenza transmission is proposed, and the equilibrium points of the model are calculated subsequently. Meanwhile, we analyze the existence of the equilibrium points by the persistence theory, and discuss their stability by the basic reproduction number. And then, we focus on the invasion process of infected domestic animals into the habitat of humans. Under certain conditions as in Theorem 2, we construct a propagating terrace linking human habitat to animal-human coexistent habitat, then to swine flu natural foci, which is divided by spreading speeds.https://www.aimspress.com/article/doi/10.3934/mbe.2020312?viewType=HTMLswine influenza transmissionbreed-slaughter modelbasic reproduction numberpropagating terracespreading speed |
| spellingShingle | Fangyuan Chen Rong Yuan Dynamic behavior of swine influenza transmission during the breed-slaughter process Mathematical Biosciences and Engineering swine influenza transmission breed-slaughter model basic reproduction number propagating terrace spreading speed |
| title | Dynamic behavior of swine influenza transmission during the breed-slaughter process |
| title_full | Dynamic behavior of swine influenza transmission during the breed-slaughter process |
| title_fullStr | Dynamic behavior of swine influenza transmission during the breed-slaughter process |
| title_full_unstemmed | Dynamic behavior of swine influenza transmission during the breed-slaughter process |
| title_short | Dynamic behavior of swine influenza transmission during the breed-slaughter process |
| title_sort | dynamic behavior of swine influenza transmission during the breed slaughter process |
| topic | swine influenza transmission breed-slaughter model basic reproduction number propagating terrace spreading speed |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2020312?viewType=HTML |
| work_keys_str_mv | AT fangyuanchen dynamicbehaviorofswineinfluenzatransmissionduringthebreedslaughterprocess AT rongyuan dynamicbehaviorofswineinfluenzatransmissionduringthebreedslaughterprocess |