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

doi:10.1007/s10473-023-0621-6

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (6): 2662-2682.doi: 10.1007/s10473-023-0621-6

• • 上一篇

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

Maolin YE, Haijun JIANG^†

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

收稿日期:2022-03-17 修回日期:2023-05-22 发布日期:2023-12-08
通讯作者: †Maolin YE, E-mail: 1733981567@stu.xju.edu.cn
作者简介:Haijun JIANG, E-mail: jianghaijunxju@163.com
基金资助:
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).

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

Maolin YE, Haijun JIANG^†

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received:2022-03-17 Revised:2023-05-22 Published:2023-12-08
Contact: †Maolin YE, E-mail: 1733981567@stu.xju.edu.cn
About author:Haijun JIANG, E-mail: jianghaijunxju@163.com
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).

摘要/Abstract

摘要： 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.

关键词: rumor spreading, fractional-order, time delay, bifurcation control

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.

Key words: rumor spreading, fractional-order, time delay, bifurcation control

中图分类号:

34A08

Maolin YE, Haijun JIANG. BIFURCATION CONTROL FOR A FRACTIONAL-ORDER DELAYED SEIR RUMOR SPREADING MODEL WITH INCOMMENSURATE ORDERS^*[J]. 数学物理学报(英文版), 2023, 43(6): 2662-2682.

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.

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

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

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