Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control
Joint Authors
Wang, Xiying
Xu, Wei
Wang, Wenfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper mainly studies the threshold dynamics of new multicity HIV (Human Immunodeficiency Virus) epidemic models with switching parameters and pulse control.
The model’s parameters are assumed to be time-varying functions and switching functional forms in time due to seasonal changes.
And the susceptible population is assumed to become infected via shared injections or sexual contacts with infected individuals and pre-AIDS patients (following infection with HIV but before the full development of acquired immune deficiency syndrome).
New threshold conditions are established to ensure the extinction of the disease by using Razumikhin-type approach.
Pulse control strategies are then applied to the multicity epidemic model and analyzed to guarantee their success in eradicating the disease.
Numerical examples are performed to support the analytical results.
American Psychological Association (APA)
Wang, Xiying& Xu, Wei& Wang, Wenfeng. 2019. Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1195705
Modern Language Association (MLA)
Wang, Xiying…[et al.]. Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1195705
American Medical Association (AMA)
Wang, Xiying& Xu, Wei& Wang, Wenfeng. Threshold Dynamics of the Switched Multicity Epidemic Models with Pulse Control. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1195705
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195705