Dynamical analysis of rumor spreading model in multi-lingual environment and heterogeneous complex networks
A novel rumor propagation model with education mechanism is firstly proposed in multi-lingual environment and heterogeneous networks. Firstly, the threshold behaviour and dynamics of model are examined through analyzing the acquired differential equations. Next, based on Routh-Hurwitz judgment, Lyap...
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| Published in | Information sciences Vol. 536; pp. 391 - 408 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
01.10.2020
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| Abstract | A novel rumor propagation model with education mechanism is firstly proposed in multi-lingual environment and heterogeneous networks. Firstly, the threshold behaviour and dynamics of model are examined through analyzing the acquired differential equations. Next, based on Routh-Hurwitz judgment, Lyapunov method and LaSalle’s invariance principle, the existence and stability of rumor-free/spreading equilibrium points (RFEP/RSEP) are carried out. Furthermore, we found that the educational mechanism has significance influence on rumor spreading through sensitivity analysis. Therefore, the optimal control is presented to optimize the educational mechanism. Additionally, numerical simulations is given to show the correctness of theoretical results. Finally, combine with practice, a model application is presented to verify the effectiveness of the established model and the proposed optimal control. |
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| AbstractList | A novel rumor propagation model with education mechanism is firstly proposed in multi-lingual environment and heterogeneous networks. Firstly, the threshold behaviour and dynamics of model are examined through analyzing the acquired differential equations. Next, based on Routh-Hurwitz judgment, Lyapunov method and LaSalle’s invariance principle, the existence and stability of rumor-free/spreading equilibrium points (RFEP/RSEP) are carried out. Furthermore, we found that the educational mechanism has significance influence on rumor spreading through sensitivity analysis. Therefore, the optimal control is presented to optimize the educational mechanism. Additionally, numerical simulations is given to show the correctness of theoretical results. Finally, combine with practice, a model application is presented to verify the effectiveness of the established model and the proposed optimal control. |
| Author | Jiang, Haijun Mei, Xuehui Li, Jiarong Hu, Cheng Zhang, Guoliang |
| Author_xml | – sequence: 1 givenname: Jiarong surname: Li fullname: Li, Jiarong organization: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang, China – sequence: 2 givenname: Haijun orcidid: 0000-0002-0310-6842 surname: Jiang fullname: Jiang, Haijun email: jianghai@xju.edu.cn organization: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang, China – sequence: 3 givenname: Xuehui surname: Mei fullname: Mei, Xuehui organization: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang, China – sequence: 4 givenname: Cheng surname: Hu fullname: Hu, Cheng organization: College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang, China – sequence: 5 givenname: Guoliang surname: Zhang fullname: Zhang, Guoliang organization: School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China |
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| Keywords | Stability and sensitivity analysis Heterogeneous network Multi-lingual environment Optimal control Rumor spreading |
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| Snippet | A novel rumor propagation model with education mechanism is firstly proposed in multi-lingual environment and heterogeneous networks. Firstly, the threshold... |
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| SubjectTerms | Heterogeneous network Multi-lingual environment Optimal control Rumor spreading Stability and sensitivity analysis |
| Title | Dynamical analysis of rumor spreading model in multi-lingual environment and heterogeneous complex networks |
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