Abstract
In this paper, a mathematical model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor is investigated. The model is in the form of a system of nonlinear differential equations. By using qualitative methods, the conditions for the existence and local stability of the equilibria are obtained. The existence and stability of periodic solutions of the Hopf type are studied. Numerical simulations about the Hopf bifurcation value and Hopf limit cycle are also given.
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Almocera, L.S., Zhujun, J. & Sy, P.W. Hopf bifurcation and analysis of equilibrium for a third-order differential equation in a model of competition. Acta Mathematicae Applicatae Sinica 17, 68–80 (2001). https://doi.org/10.1007/BF02669686
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DOI: https://doi.org/10.1007/BF02669686