Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input

Joint Authors

Zhao, Zhong
Wang, Baozhen
Chen, Ying
Pang, Liuyong

Source

Journal of Applied Mathematics

Issue

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

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-15

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

A chemostat model of plasmid-bearing and plasmid-free competition with pulsed input is proposed.

The invasion threshold of the plasmid-bearing and plasmid-free organisms is obtained according to the stability of the boundary periodic solution.

By use of standard techniques of bifurcation theory, the periodic oscillations in substrate, plasmid-bearing, and plasmid-free organisms are shown when some conditions are satisfied.

Our results can be applied to control bioreactor aimed at producing commercial producers through genetically altered organisms.

American Psychological Association (APA)

Zhao, Zhong& Wang, Baozhen& Pang, Liuyong& Chen, Ying. 2014. Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-464419

Modern Language Association (MLA)

Zhao, Zhong…[et al.]. Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-464419

American Medical Association (AMA)

Zhao, Zhong& Wang, Baozhen& Pang, Liuyong& Chen, Ying. Bifurcation Analysis of a Chemostat Model of Plasmid-Bearing and Plasmid-Free Competition with Pulsed Input. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-464419

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-464419