BIFURCATION CONTROL FOR A FRACTIONAL-ORDER DELAYED SEIR RUMOR SPREADING MODEL WITH INCOMMENSURATE ORDERS*

  • Maolin YE ,
  • Haijun JIANG
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  • College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Haijun JIANG, E-mail: jianghaijunxju@163.com

Received date: 2022-03-17

  Revised date: 2023-05-22

  Online published: 2023-12-08

Supported by

This work was supported by the National Natural Science Foundation of China (U1703262, 62163035, 61866036, 62006196, 61963033, 62163035), the Tianshan Innovation Team Program (2020D14017) and the Tianshan Xuesong Program (2018XS02).

Abstract

A fractional-order delayed SEIR rumor spreading model with a nonlinear incidence function is established in this paper, and a novel strategy to control the bifurcation of this model is proposed. First, Hopf bifurcation is investigated by considering time delay as bifurcation parameter for the system without a feedback controller. Then, a state feedback controller is designed to control the occurrence of bifurcation in advance or to delay it by changing the parameters of the controller. Finally, in order to verify the theoretical results, some numerical simulations are given.

Cite this article

Maolin YE , Haijun JIANG . BIFURCATION CONTROL FOR A FRACTIONAL-ORDER DELAYED SEIR RUMOR SPREADING MODEL WITH INCOMMENSURATE ORDERS*[J]. Acta mathematica scientia, Series B, 2023 , 43(6) : 2662 -2682 . DOI: 10.1007/s10473-023-0621-6

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