Bifurcation control of a delayed fractional mosaic disease model for \textit{Jatropha curcas} with farming awareness
type: Item
instance of: scholarly article
title: Bifurcation control of a delayed fractional mosaic disease model for \textit{Jatropha curcas} with farming awareness
zbMATH Open document ID: 1441.92042
DOI: 10.1155/2020/2380451
author: Shouzong Liu
author: Mingzhan Huang
author: Juan Wang
published in: Complexity
publication date: 2020-07-18T00:00:00Z
review text: Summary: In this paper, the bifurcation control of a fractional-order mosaic virus infection model for \textit{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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7222436
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/2380451
OpenAlex ID: W3037758934
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description: scientific article; zbMATH DE number 7222436