Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response

Joint Authors

Lu, Ting
Wang, Cuihong
Shi, Ruiqing

Source

Complexity

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-08-06

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Philosophy

Abstract EN

In this paper, a fractional-order model is constructed to describe the transmission of Hepatitis B Virus (HBV).

Firstly, the existence and uniqueness of positive solutions are proved.

Secondly, the basic reproduction number and the sufficient conditions for the existence of two equilibriums are obtained.

Thirdly, the stability of equilibriums are analyzed.

After that, some numerical simulations are performed to verify the theoretical prediction.

Finally, a brief discussion is presented.

American Psychological Association (APA)

Shi, Ruiqing& Lu, Ting& Wang, Cuihong. 2019. Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1130973

Modern Language Association (MLA)

Shi, Ruiqing…[et al.]. Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1130973

American Medical Association (AMA)

Shi, Ruiqing& Lu, Ting& Wang, Cuihong. Dynamic Analysis of a Fractional-Order Model for Hepatitis B Virus with Holling II Functional Response. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1130973

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1130973