Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness
In this paper, the bifurcation control of a fractional-order mosaic virus infection model for Jatropha curcas with farming awareness and an execution delay is investigated. By analyzing the associated characteristic equation, Hopf bifurcation induced by the execution delay is studied for the uncontr...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/2380451 |
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| _version_ | 1832566155769806848 |
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| author | Shouzong Liu Mingzhan Huang Juan Wang |
| author_facet | Shouzong Liu Mingzhan Huang Juan Wang |
| author_sort | Shouzong Liu |
| collection | DOAJ |
| description | In this paper, the bifurcation control of a fractional-order mosaic virus infection model for Jatropha curcas with farming awareness and an execution delay is investigated. By analyzing the associated characteristic equation, Hopf bifurcation induced by the execution delay is studied for the uncontrolled system. Then, a time-delayed controller is introduced to control the occurrence of Hopf bifurcation. Our study implies that bifurcation dynamics is significantly affected by the change of the fractional order, the feedback gain and the extended feedback delay provided that the other parameters are fixed. A series of numerical simulations is performed, which not only verifies our theoretical results but also reveals some specific features. Numerically, we find that the Hopf bifurcation gradually occurs in advance with the increase of the fractional order, and there exist extreme points for the feedback gain and the extended feedback delay which can minimize the bifurcation value. |
| format | Article |
| id | doaj-art-b2e5a0e10e0944f180a482653d80b4b6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b2e5a0e10e0944f180a482653d80b4b62025-02-03T01:04:59ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/23804512380451Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming AwarenessShouzong Liu0Mingzhan Huang1Juan Wang2College of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaCollege of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaCollege of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaIn this paper, the bifurcation control of a fractional-order mosaic virus infection model for Jatropha curcas with farming awareness and an execution delay is investigated. By analyzing the associated characteristic equation, Hopf bifurcation induced by the execution delay is studied for the uncontrolled system. Then, a time-delayed controller is introduced to control the occurrence of Hopf bifurcation. Our study implies that bifurcation dynamics is significantly affected by the change of the fractional order, the feedback gain and the extended feedback delay provided that the other parameters are fixed. A series of numerical simulations is performed, which not only verifies our theoretical results but also reveals some specific features. Numerically, we find that the Hopf bifurcation gradually occurs in advance with the increase of the fractional order, and there exist extreme points for the feedback gain and the extended feedback delay which can minimize the bifurcation value.http://dx.doi.org/10.1155/2020/2380451 |
| spellingShingle | Shouzong Liu Mingzhan Huang Juan Wang Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness Complexity |
| title | Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness |
| title_full | Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness |
| title_fullStr | Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness |
| title_full_unstemmed | Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness |
| title_short | Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness |
| title_sort | bifurcation control of a delayed fractional mosaic disease model for jatropha curcas with farming awareness |
| url | http://dx.doi.org/10.1155/2020/2380451 |
| work_keys_str_mv | AT shouzongliu bifurcationcontrolofadelayedfractionalmosaicdiseasemodelforjatrophacurcaswithfarmingawareness AT mingzhanhuang bifurcationcontrolofadelayedfractionalmosaicdiseasemodelforjatrophacurcaswithfarmingawareness AT juanwang bifurcationcontrolofadelayedfractionalmosaicdiseasemodelforjatrophacurcaswithfarmingawareness |