Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network
This paper proposes a SIQRS epidemic model with birth and death on a complex network, considering individual alertness. In particular, we investigate the influence of the individual behavior in the transmission of epidemics and derive the basic reproduction number depending on birth rate, death rate...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/10/1437 |
| _version_ | 1797573930278453248 |
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| author | Fengling Jia Ziyu Gu Lixin Yang |
| author_facet | Fengling Jia Ziyu Gu Lixin Yang |
| author_sort | Fengling Jia |
| collection | DOAJ |
| description | This paper proposes a SIQRS epidemic model with birth and death on a complex network, considering individual alertness. In particular, we investigate the influence of the individual behavior in the transmission of epidemics and derive the basic reproduction number depending on birth rate, death rate, alertness rate, quarantine rate. In addition, the stabilities of the disease-free equilibrium point and endemic equilibrium point are analyzed via stability theory. It is found that the emergence of individual behavior can influence the process of transmission of epidemics. Our results show that individual alertness rate is negatively correlated with basic reproduction number, while the impact of individual alertness on infectious factor is positively correlated with basic reproduction number. When the basic reproduction number is less than one, the system is stable and the disease is eventually eradicated. Nevertheless, there is an endemic equilibrium point under the condition that the basic reproduction number is more than one. Finally, numerical simulations are carried out to illustrate theoretical results. |
| first_indexed | 2024-03-10T21:17:00Z |
| format | Article |
| id | doaj.art-d057c19c818741c5a497892565a3ad8c |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T21:17:00Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d057c19c818741c5a497892565a3ad8c2023-11-19T16:24:52ZengMDPI AGEntropy1099-43002023-10-012510143710.3390/e25101437Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex NetworkFengling Jia0Ziyu Gu1Lixin Yang2School of Mathematics, Chengdu Normal University, Chengdu 611130, ChinaSchool of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi’an 710021, ChinaSchool of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi’an 710021, ChinaThis paper proposes a SIQRS epidemic model with birth and death on a complex network, considering individual alertness. In particular, we investigate the influence of the individual behavior in the transmission of epidemics and derive the basic reproduction number depending on birth rate, death rate, alertness rate, quarantine rate. In addition, the stabilities of the disease-free equilibrium point and endemic equilibrium point are analyzed via stability theory. It is found that the emergence of individual behavior can influence the process of transmission of epidemics. Our results show that individual alertness rate is negatively correlated with basic reproduction number, while the impact of individual alertness on infectious factor is positively correlated with basic reproduction number. When the basic reproduction number is less than one, the system is stable and the disease is eventually eradicated. Nevertheless, there is an endemic equilibrium point under the condition that the basic reproduction number is more than one. Finally, numerical simulations are carried out to illustrate theoretical results.https://www.mdpi.com/1099-4300/25/10/1437epidemic modelcomplex networksindividual alertnessquarantinestability |
| spellingShingle | Fengling Jia Ziyu Gu Lixin Yang Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network Entropy epidemic model complex networks individual alertness quarantine stability |
| title | Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network |
| title_full | Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network |
| title_fullStr | Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network |
| title_full_unstemmed | Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network |
| title_short | Dynamic Analysis of an Epidemic Model Considering Personal Alert on a Complex Network |
| title_sort | dynamic analysis of an epidemic model considering personal alert on a complex network |
| topic | epidemic model complex networks individual alertness quarantine stability |
| url | https://www.mdpi.com/1099-4300/25/10/1437 |
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