Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage
African swine fever is a highly contagious virus that causes pig disease. Its onset process is short, but the mortality rate is as high as 100%. There are still no effective drugs that have been developed to treat African swine fever, and prevention and control measures are currently the best means...
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| Format: | Article |
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MDPI AG
2023-07-01
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| Series: | Animals |
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| Online Access: | https://www.mdpi.com/2076-2615/13/14/2252 |
| _version_ | 1797590587761754112 |
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| author | Ruiqing Shi Yihong Zhang Cuihong Wang |
| author_facet | Ruiqing Shi Yihong Zhang Cuihong Wang |
| author_sort | Ruiqing Shi |
| collection | DOAJ |
| description | African swine fever is a highly contagious virus that causes pig disease. Its onset process is short, but the mortality rate is as high as 100%. There are still no effective drugs that have been developed to treat African swine fever, and prevention and control measures are currently the best means to avoid infection in pig herds. In this paper, two fractional order mathematical models with media coverage are constructed to describe the transmission of African swine fever. The first model is a basic model with media coverage, and no control measures are considered. For this model, the reproduction number is obtained by using the next generation matrix method. Then, the sufficient conditions for the existence and stability of two equilibriums are obtained. Based on the first model, the second model is established incorporating two control measures. By using Pontryagin’s maximal principle, the optimal control solution is derived. After that, some numerical simulations are performed for the two models to verify the theoretical results. Both the qualitative analysis and numerical results indicate that timely media coverage combined with disinfection control measures is crucial to preventing the spread of disease. |
| first_indexed | 2024-03-11T01:22:40Z |
| format | Article |
| id | doaj.art-8cff71b58eb44edfa2a0ff7be0c18642 |
| institution | Directory Open Access Journal |
| issn | 2076-2615 |
| language | English |
| last_indexed | 2024-03-11T01:22:40Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Animals |
| spelling | doaj.art-8cff71b58eb44edfa2a0ff7be0c186422023-11-18T17:59:39ZengMDPI AGAnimals2076-26152023-07-011314225210.3390/ani13142252Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media CoverageRuiqing Shi0Yihong Zhang1Cuihong Wang2School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, ChinaAfrican swine fever is a highly contagious virus that causes pig disease. Its onset process is short, but the mortality rate is as high as 100%. There are still no effective drugs that have been developed to treat African swine fever, and prevention and control measures are currently the best means to avoid infection in pig herds. In this paper, two fractional order mathematical models with media coverage are constructed to describe the transmission of African swine fever. The first model is a basic model with media coverage, and no control measures are considered. For this model, the reproduction number is obtained by using the next generation matrix method. Then, the sufficient conditions for the existence and stability of two equilibriums are obtained. Based on the first model, the second model is established incorporating two control measures. By using Pontryagin’s maximal principle, the optimal control solution is derived. After that, some numerical simulations are performed for the two models to verify the theoretical results. Both the qualitative analysis and numerical results indicate that timely media coverage combined with disinfection control measures is crucial to preventing the spread of disease.https://www.mdpi.com/2076-2615/13/14/2252African swine feverfractional orderbasic reproduction numberstabilityoptimal control |
| spellingShingle | Ruiqing Shi Yihong Zhang Cuihong Wang Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage Animals African swine fever fractional order basic reproduction number stability optimal control |
| title | Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage |
| title_full | Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage |
| title_fullStr | Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage |
| title_full_unstemmed | Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage |
| title_short | Dynamic Analysis and Optimal Control of Fractional Order African Swine Fever Models with Media Coverage |
| title_sort | dynamic analysis and optimal control of fractional order african swine fever models with media coverage |
| topic | African swine fever fractional order basic reproduction number stability optimal control |
| url | https://www.mdpi.com/2076-2615/13/14/2252 |
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