Global Stability for a Viral Infection Model with Saturated Incidence Rate

Joint Authors

Peng, Huaqin
Guo, Zhiming

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-06

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form βxv/(1+αv).

The existence and uniqueness of equilibrium are proved.

The basic reproductive number R0 is given.

The model is divided into two cases: with or without delay.

In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.

American Psychological Association (APA)

Peng, Huaqin& Guo, Zhiming. 2014. Global Stability for a Viral Infection Model with Saturated Incidence Rate. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013445

Modern Language Association (MLA)

Peng, Huaqin& Guo, Zhiming. Global Stability for a Viral Infection Model with Saturated Incidence Rate. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013445

American Medical Association (AMA)

Peng, Huaqin& Guo, Zhiming. Global Stability for a Viral Infection Model with Saturated Incidence Rate. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013445

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013445