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

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.