Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/216378

Title

Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling

Author(s)

Yuan, Sanling;  Zhang, Tonghua

Abstract

A model of competition between plasmid-bearing and plasmid-free organisms in the chemostat with periodic input of nutrient and two distributed delays is investigated. The delays model the fact that the nutrient is partially recycled after the death of the biomass by bacterial decomposition. It is assumed that there is inter-specific competition between the plasmid-bearing and plasmid-free organisms as well as intra-specific competition within each population. Analysis of the extinction of the organisms, including plasmid-bearing and plasmid-free organisms, and the permanence of the system are carried out. Furthermore, sufficient conditions ensuring the existence and global stability of the positive periodic solution are established. Numerical simulations illustrate the theoretical results. Finally, we present a procedure by which one can control the parameters of the model to keep the plasmid-bearing organism stay eventually in a desired set.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences

Source

Nonlinear Analysis: Real World Applications, Vol. 13, no. 5 (Oct 2012), pp. 2104-2119

Publication year

2012

FOR Code(s)

0102 Applied Mathematics

Keyword(s)

Chemostat;  Nutrient recycling;  Periodic solution;  Permanence;  Plasmid-bearing

Publisher

Elsevier

ISSN

1468-1218

Publisher URL

http://dx.doi.org/10.1016/j.nonrwa.2012.01.006

Copyright

Copyright © 2012 Elsevier Ltd. All rights reserved.

Peer reviewed