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Volume 9, Number 4, 2019, Pages 1261-1276                                                                DOI:10.11948/2156-907X.20180215
Global behavior of a dynamic model with biodegradation of Microcystins
Keying Song,Wanbiao Ma,Ke Guo
Keywords:Microcystins, global stability, Hopf bifurcation, permanence.
      Considering the biodegradation pathway of Microcystins, in this paper, we propose a model described by a system of ordinary differential equations. We firstly investigate the local stability of the positive equilibrium and the existence of Hopf bifurcations. Then, 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.
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