Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness
Joint Authors
Wang, Juan
Liu, Shouzong
Huang, Mingzhan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-27
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Shouzong& Huang, Mingzhan& Wang, Juan. 2020. Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness. Complexity،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1140955
Modern Language Association (MLA)
Liu, Shouzong…[et al.]. Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness. Complexity No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1140955
American Medical Association (AMA)
Liu, Shouzong& Huang, Mingzhan& Wang, Juan. Bifurcation Control of a Delayed Fractional Mosaic Disease Model for Jatropha curcas with Farming Awareness. Complexity. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1140955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1140955