Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics
The epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the app...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018065 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590059243569152 |
|---|---|
| author | Jianquan Li Xiaoqin Wang Xiaolin Lin |
| author_facet | Jianquan Li Xiaoqin Wang Xiaolin Lin |
| author_sort | Jianquan Li |
| collection | DOAJ |
| description | The epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the appearance of the peak state and turning point are represented clearly, and the expressions determining the corresponding time for the peak state and turning point are described explicitly. Moreover, the impact of behavioral change on the characteristics is discussed. |
| format | Article |
| id | doaj-art-7d997647692446aea51dec74acdf0780 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-7d997647692446aea51dec74acdf07802025-01-24T02:41:08ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-11-011561425143410.3934/mbe.2018065Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamicsJianquan Li0Xiaoqin Wang1Xiaolin Lin2School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, ChinaSchool of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, ChinaSchool of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, ChinaThe epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the appearance of the peak state and turning point are represented clearly, and the expressions determining the corresponding time for the peak state and turning point are described explicitly. Moreover, the impact of behavioral change on the characteristics is discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2018065epidemic modelsepidemic final sizepeakturning pointinhibition parameter |
| spellingShingle | Jianquan Li Xiaoqin Wang Xiaolin Lin Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics Mathematical Biosciences and Engineering epidemic models epidemic final size peak turning point inhibition parameter |
| title | Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| title_full | Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| title_fullStr | Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| title_full_unstemmed | Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| title_short | Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| title_sort | impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics |
| topic | epidemic models epidemic final size peak turning point inhibition parameter |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018065 |
| work_keys_str_mv | AT jianquanli impactofbehavioralchangeontheepidemiccharacteristicsofanepidemicmodelwithoutvitaldynamics AT xiaoqinwang impactofbehavioralchangeontheepidemiccharacteristicsofanepidemicmodelwithoutvitaldynamics AT xiaolinlin impactofbehavioralchangeontheepidemiccharacteristicsofanepidemicmodelwithoutvitaldynamics |