Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis

Joint Authors

Li, Sumei
Zhou, Yicang

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-12

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

A mathematical model of human T-cell lymphotropic virus type 1 in vivo with cell-to-cell infection and mitosis is formulated and studied.

The basic reproductive number R0 is derived.

It is proved that the dynamics of the model can be determined completely by the magnitude of R0.

The infection-free equilibrium is globally asymptotically stable (unstable) if R0<1 (R0>1).

There exists a chronic infection equilibrium and it is globally asymptotically stable if R0>1.

American Psychological Association (APA)

Li, Sumei& Zhou, Yicang. 2014. Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1013320

Modern Language Association (MLA)

Li, Sumei& Zhou, Yicang. Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1013320

American Medical Association (AMA)

Li, Sumei& Zhou, Yicang. Global Dynamics of an HTLV-1 Model with Cell-to-Cell Infection and Mitosis. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1013320

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013320