Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-25
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we are interested in finding the periodic oscillation of seasonally forced SEIR models with pulse vaccination.
Many infectious diseases show seasonal patterns of incidence.
Pulse vaccination strategy is an effective tool to control the spread of these infectious diseases.
Assuming that the seasonally dependent transmission rate is a T-periodic forcing, we obtain the existence of positive T-periodic solutions of seasonally forced SEIR models with pulse vaccination by Mawhin’s coincidence degree method.
Some relevant numerical simulations are presented to illustrate the effectiveness of such pulse vaccination strategy.
American Psychological Association (APA)
Wang, Lin. 2020. Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153624
Modern Language Association (MLA)
Wang, Lin. Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1153624
American Medical Association (AMA)
Wang, Lin. Existence of Periodic Solutions of Seasonally Forced SEIR Models with Pulse Vaccination. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1153624
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153624
