Global Dynamics of a Periodic SEIRS Model with General Incidence Rate
Joint Authors
García Almeida, Gerardo
Avila-Vales, Eric
Rivero-Esquivel, Erika
Source
International Journal of Differential Equations
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider a family of periodic SEIRS epidemic models with a fairly general incidence rate of the form Sf(I), and it is shown that the basic reproduction number determines the global dynamics of the models and it is a threshold parameter for persistence of disease.
Numerical simulations are performed using a nonlinear incidence rate to estimate the basic reproduction number and illustrate our analytical findings.
American Psychological Association (APA)
Avila-Vales, Eric& Rivero-Esquivel, Erika& García Almeida, Gerardo. 2017. Global Dynamics of a Periodic SEIRS Model with General Incidence Rate. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1165861
Modern Language Association (MLA)
Avila-Vales, Eric…[et al.]. Global Dynamics of a Periodic SEIRS Model with General Incidence Rate. International Journal of Differential Equations No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1165861
American Medical Association (AMA)
Avila-Vales, Eric& Rivero-Esquivel, Erika& García Almeida, Gerardo. Global Dynamics of a Periodic SEIRS Model with General Incidence Rate. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1165861
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1165861