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Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission
Joint Authors
He, Mingfeng
Pan, Qiuhui
Cheng, Yan
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The aim of this paper is to develop two delayed SEIR epidemic models with nonlinear incidence rate, continuous treatment, and impulsive vaccination for a class of epidemic with latent period and vertical transition.
For continuous treatment, we obtain a basic reproductive number ℜ0 and prove the global stability by using the Lyapunov functional method.
We obtain two thresholds ℜ* and ℜ* for impulsive vaccination and prove that if ℜ*<1, then the disease-free periodic solution is globally attractive and if ℜ*>1, then the disease is permanent by using the comparison theorem of impulsive differential equation.
Numerical simulations indicate that pulse vaccination strategy or a longer latent period will make the population size infected by a disease decrease.
American Psychological Association (APA)
Cheng, Yan& Pan, Qiuhui& He, Mingfeng. 2013. Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501536
Modern Language Association (MLA)
Cheng, Yan…[et al.]. Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-501536
American Medical Association (AMA)
Cheng, Yan& Pan, Qiuhui& He, Mingfeng. Disease Control of Delay SEIR Model with Nonlinear Incidence Rate and Vertical Transmission. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501536
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501536