Julia Sets and Their Control of Discrete Fractional SIRS Models
It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/5059025 |
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| _version_ | 1832549846196682752 |
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| author | Miao Ouyang Yongping Zhang |
| author_facet | Miao Ouyang Yongping Zhang |
| author_sort | Miao Ouyang |
| collection | DOAJ |
| description | It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different controllers, which are, respectively, added to different parts of the model as a whole, a part, and a product factor, are designed to change the Julia set, and the graphs illustrate the complexity of the model. Simulation results show the efficacy of these methods. |
| format | Article |
| id | doaj-art-3375eb6028514ff6b8e33bee7b99849e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3375eb6028514ff6b8e33bee7b99849e2025-02-03T06:08:18ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/50590255059025Julia Sets and Their Control of Discrete Fractional SIRS ModelsMiao Ouyang0Yongping Zhang1School of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaSchool of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaIt is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different controllers, which are, respectively, added to different parts of the model as a whole, a part, and a product factor, are designed to change the Julia set, and the graphs illustrate the complexity of the model. Simulation results show the efficacy of these methods.http://dx.doi.org/10.1155/2019/5059025 |
| spellingShingle | Miao Ouyang Yongping Zhang Julia Sets and Their Control of Discrete Fractional SIRS Models Complexity |
| title | Julia Sets and Their Control of Discrete Fractional SIRS Models |
| title_full | Julia Sets and Their Control of Discrete Fractional SIRS Models |
| title_fullStr | Julia Sets and Their Control of Discrete Fractional SIRS Models |
| title_full_unstemmed | Julia Sets and Their Control of Discrete Fractional SIRS Models |
| title_short | Julia Sets and Their Control of Discrete Fractional SIRS Models |
| title_sort | julia sets and their control of discrete fractional sirs models |
| url | http://dx.doi.org/10.1155/2019/5059025 |
| work_keys_str_mv | AT miaoouyang juliasetsandtheircontrolofdiscretefractionalsirsmodels AT yongpingzhang juliasetsandtheircontrolofdiscretefractionalsirsmodels |