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

Mathematics

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