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Dynamics of water eutrophication model with control

Jianjun Jiao, Pei Li, Dahe Feng

Advances in Difference Equations · 2018

doi:10.1186/s13662-018-1755-z (opens in a new tab)

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Abstract

Abstract In this work, we consider a water eutrophication model with impulsive dredging. We prove that all solutions of the investigated system are uniformly bounded. There exists globally asymptotically stable periodic solution of microorganism-extinction when some condition is satisfied. The condition for permanence of the system is also obtained. It is concluded that the approach of impulsive dredging provides a reliable theoretical basis for the management of water eutrophication.

Abstract licence: CC BY

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