Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources
In this paper, a fractional-order model for African swine fever with limited medical resources is proposed and analyzed. First, the existence and uniqueness of a positive solution is proven. Second, the basic reproduction number and the conditions sufficient for the existence of two equilibriums are...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/6/430 |
| _version_ | 1797594728787607552 |
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| author | Ruiqing Shi Yang Li Cuihong Wang |
| author_facet | Ruiqing Shi Yang Li Cuihong Wang |
| author_sort | Ruiqing Shi |
| collection | DOAJ |
| description | In this paper, a fractional-order model for African swine fever with limited medical resources is proposed and analyzed. First, the existence and uniqueness of a positive solution is proven. Second, the basic reproduction number and the conditions sufficient for the existence of two equilibriums are obtained. Third, the local stability of the two equilibriums is studied. Next, some numerical simulations are performed to verify the theoretical results. The mathematical and simulation results show that the values of some parameters, such as fractional order and medical resources, are critical for the stability of the equilibriums. |
| first_indexed | 2024-03-11T02:27:32Z |
| format | Article |
| id | doaj.art-54e101a94e6849a2b0b8415a294c8769 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T02:27:32Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-54e101a94e6849a2b0b8415a294c87692023-11-18T10:29:12ZengMDPI AGFractal and Fractional2504-31102023-05-017643010.3390/fractalfract7060430Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical ResourcesRuiqing Shi0Yang Li1Cuihong 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, ChinaIn this paper, a fractional-order model for African swine fever with limited medical resources is proposed and analyzed. First, the existence and uniqueness of a positive solution is proven. Second, the basic reproduction number and the conditions sufficient for the existence of two equilibriums are obtained. Third, the local stability of the two equilibriums is studied. Next, some numerical simulations are performed to verify the theoretical results. The mathematical and simulation results show that the values of some parameters, such as fractional order and medical resources, are critical for the stability of the equilibriums.https://www.mdpi.com/2504-3110/7/6/430African swine feverfractional orderlimited medical resourcesbasic reproduction numberstability |
| spellingShingle | Ruiqing Shi Yang Li Cuihong Wang Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources Fractal and Fractional African swine fever fractional order limited medical resources basic reproduction number stability |
| title | Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources |
| title_full | Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources |
| title_fullStr | Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources |
| title_full_unstemmed | Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources |
| title_short | Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources |
| title_sort | analysis of a fractional order model for african swine fever with effect of limited medical resources |
| topic | African swine fever fractional order limited medical resources basic reproduction number stability |
| url | https://www.mdpi.com/2504-3110/7/6/430 |
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