Analysis of a chemostat model in the presence of viral infection expressed by a general infection rate

Yuan Tian, Haiting Sun, Andrzej Kasperski

Abstract


Viral are present greater abundance than bacteria in marine and lake environments. Inorder to analyze the viral infection on the dynamics of the bioprocess, the paper dealswith the problem of a substrate-biomass interaction chemostat model where biomass isdivided into susceptible and infected groups. The general nutrient uptake functions andinfection rate function are taken into account. Conditions for biomass extinction andcoexistence are derived by taking the dilution rate as a control parameter. The results show that when the dilution rate is kept in a proper level, the susceptible biomass can be sustained while the infected biomass is eliminated. It is also observed that the threecomponent system may persist for a certain range of dilution rate.

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Published: 2015-07-16

How to Cite this Article:

Yuan Tian, Haiting Sun, Andrzej Kasperski, Analysis of a chemostat model in the presence of viral infection expressed by a general infection rate, Communications in Mathematical Biology and Neuroscience, Vol 2015 (2015), Article ID 23

Copyright © 2015 Yuan Tian, Haiting Sun, Andrzej Kasperski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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