Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate
The mobile networks have increasingly facilitated our daily life but are also breeding grounds for malicious worms, which are considered as the main threat to cyber security. The purpose of this paper is to analyze the dynamics of worm propagation and to control the worm epidemic based on mobile-pho...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6637263 |
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| author | Rui Hu Qingwu Gao Bairong Wang |
| author_facet | Rui Hu Qingwu Gao Bairong Wang |
| author_sort | Rui Hu |
| collection | DOAJ |
| description | The mobile networks have increasingly facilitated our daily life but are also breeding grounds for malicious worms, which are considered as the main threat to cyber security. The purpose of this paper is to analyze the dynamics of worm propagation and to control the worm epidemic based on mobile-phone networks. Accordingly, we establish an SEIQR-type model to explore the worm epidemic with saturated incidence rate. This paper shows that if the basic reproduction number is less than 1, the worm-free equilibrium is asymptotically stable, and the epidemic of worm will eventually disappear and remain under control; in addition, if the basic reproduction number is greater than 1, the asymptotical stability of worm-existence equilibrium is derived to imply that the epidemic will remain persistent and uncontrollable. Our results give new insights to mobile network security, namely, that is predicting the worm spreading tendency, identifying the epidemic control strategies, and estimating the worm popularity level. Numerical experiments are conducted to show the rationality of our obtained results and the effectiveness of the control strategies. |
| format | Article |
| id | doaj-art-8de3c960106440d18bf1b53e048bddb7 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8de3c960106440d18bf1b53e048bddb72025-02-03T05:49:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66372636637263Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence RateRui Hu0Qingwu Gao1Bairong Wang2Department of Applied Mathematics, Nanjing Audit University, Nanjing, Jiangsu, ChinaDepartment of Financial Mathematics, Nanjing Audit University, Nanjing, Jiangsu, ChinaSchool of Economics and Management, Shanghai Maritime University, Shanghai, ChinaThe mobile networks have increasingly facilitated our daily life but are also breeding grounds for malicious worms, which are considered as the main threat to cyber security. The purpose of this paper is to analyze the dynamics of worm propagation and to control the worm epidemic based on mobile-phone networks. Accordingly, we establish an SEIQR-type model to explore the worm epidemic with saturated incidence rate. This paper shows that if the basic reproduction number is less than 1, the worm-free equilibrium is asymptotically stable, and the epidemic of worm will eventually disappear and remain under control; in addition, if the basic reproduction number is greater than 1, the asymptotical stability of worm-existence equilibrium is derived to imply that the epidemic will remain persistent and uncontrollable. Our results give new insights to mobile network security, namely, that is predicting the worm spreading tendency, identifying the epidemic control strategies, and estimating the worm popularity level. Numerical experiments are conducted to show the rationality of our obtained results and the effectiveness of the control strategies.http://dx.doi.org/10.1155/2021/6637263 |
| spellingShingle | Rui Hu Qingwu Gao Bairong Wang Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate Discrete Dynamics in Nature and Society |
| title | Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate |
| title_full | Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate |
| title_fullStr | Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate |
| title_full_unstemmed | Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate |
| title_short | Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate |
| title_sort | dynamics and control of worm epidemic based on mobile networks by seiqr type model with saturated incidence rate |
| url | http://dx.doi.org/10.1155/2021/6637263 |
| work_keys_str_mv | AT ruihu dynamicsandcontrolofwormepidemicbasedonmobilenetworksbyseiqrtypemodelwithsaturatedincidencerate AT qingwugao dynamicsandcontrolofwormepidemicbasedonmobilenetworksbyseiqrtypemodelwithsaturatedincidencerate AT bairongwang dynamicsandcontrolofwormepidemicbasedonmobilenetworksbyseiqrtypemodelwithsaturatedincidencerate |