Dynamics of an Information Spreading Model with Isolation
Information plays an important role in modern society. In this paper, we presented a mathematical model of information spreading with isolation. It was found that such a model has rich dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters, there is a bistable p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/484630 |
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| _version_ | 1832554134789685248 |
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| author | Xia-Xia Zhao Jian-Zhong Wang |
| author_facet | Xia-Xia Zhao Jian-Zhong Wang |
| author_sort | Xia-Xia Zhao |
| collection | DOAJ |
| description | Information plays an important role in modern society. In this paper, we presented a mathematical
model of information spreading with isolation. It was found that such a model has rich
dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters,
there is a bistable phenomenon in the process of information spreading and thus the information cannot be well controlled. Moreover, the model has a limit cycle which implies that the information
exhibits periodic outbreak which is consistent with the observations in the real world. |
| format | Article |
| id | doaj-art-1c062ebd7c16450fa3bef53ff84ea334 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1c062ebd7c16450fa3bef53ff84ea3342025-02-03T05:52:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/484630484630Dynamics of an Information Spreading Model with IsolationXia-Xia Zhao0Jian-Zhong Wang1National Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, Shanxi 030051, ChinaNational Key Laboratory for Electronic Measurement Technology, North University of China, Taiyuan, Shanxi 030051, ChinaInformation plays an important role in modern society. In this paper, we presented a mathematical model of information spreading with isolation. It was found that such a model has rich dynamics including Hopf bifurcation. The results showed that, for a wide range of parameters, there is a bistable phenomenon in the process of information spreading and thus the information cannot be well controlled. Moreover, the model has a limit cycle which implies that the information exhibits periodic outbreak which is consistent with the observations in the real world.http://dx.doi.org/10.1155/2014/484630 |
| spellingShingle | Xia-Xia Zhao Jian-Zhong Wang Dynamics of an Information Spreading Model with Isolation Abstract and Applied Analysis |
| title | Dynamics of an Information Spreading Model with Isolation |
| title_full | Dynamics of an Information Spreading Model with Isolation |
| title_fullStr | Dynamics of an Information Spreading Model with Isolation |
| title_full_unstemmed | Dynamics of an Information Spreading Model with Isolation |
| title_short | Dynamics of an Information Spreading Model with Isolation |
| title_sort | dynamics of an information spreading model with isolation |
| url | http://dx.doi.org/10.1155/2014/484630 |
| work_keys_str_mv | AT xiaxiazhao dynamicsofaninformationspreadingmodelwithisolation AT jianzhongwang dynamicsofaninformationspreadingmodelwithisolation |