2019 Volume 9 Issue 4
Article Contents

Keying Song, Wanbiao Ma, Ke Guo. GLOBAL BEHAVIOR OF A DYNAMIC MODEL WITH BIODEGRADATION OF MICROCYSTINS[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1261-1276. doi: 10.11948/2156-907X.20180215
Citation: Keying Song, Wanbiao Ma, Ke Guo. GLOBAL BEHAVIOR OF A DYNAMIC MODEL WITH BIODEGRADATION OF MICROCYSTINS[J]. Journal of Applied Analysis & Computation, 2019, 9(4): 1261-1276. doi: 10.11948/2156-907X.20180215

GLOBAL BEHAVIOR OF A DYNAMIC MODEL WITH BIODEGRADATION OF MICROCYSTINS

  • Corresponding author: Email address: wanbiao_ma@ustb.edu.cn(W. Ma) 
  • Fund Project: The authors were supported by the National Key R&D Program of China (No. 2017YFF0207401), the National Natural Science Foundation of China (No. 11471034) and Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science
  • 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.
    MSC: 92B05, 34D20
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