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Global behavior of a dynamic model with biodegradation of Microcystins
Keying Song,Wanbiao Ma,Ke Guo
Keywords:Microcystins, Global stability, Hopf bifurcation, Permanence
Abstract:
      In this paper, we focus on the biodegradation pathway of Microcystins and consider an ordinary differential equation model. At first, the local stability of the positive equilibrium and the existence of Hopf bifurcations are studied. Furthermore, the global stability of the positive equilibrium and the permanence of the model are considered. Finally, numerical simulations are carried out to illustrate the obtained results and we also consider the control strategy by changing the parameters in the model.