Global behavior of a dynamic model with biodegradation of Microcystins |
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| Authors: | Keying Song Wanbiao Ma and Ke Guo |
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| Institution: | School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China,School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China and School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | 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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| Keywords: | Microcystins global stability Hopf bifurcation permanence |
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