Article Contents
Article Contents

# Oscillations in a plasmid turbidostat model with delayed feedback control

• A model of competition between plasmid-bearing and plasmid-free organisms in a turbidostat with delayed feedback control is investigated. By choosing the delay in the measurement of the optical sensor to the turbidity of the fluid as a bifurcation parameter, we show that Hopf bifurcations can occur as the delay crosses some critical values. The direction and stability of the bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem. Computer simulations illustrate the results.
Mathematics Subject Classification: Primary: 92A15, 34K45; Secondary: 37G15, 92C45.

 Citation:

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