| In this paper, we mainly study a predator-prey system with Beddington-DeAngelisfunctional response, which involves the continuous time system and discrete time one. Byapplying weighted escape policy and threshold policies to this model, we discuss the stabilityand sustainable production in detail. For weighted escape policy, by using switch control andchoosing a series of reasonable control parameter, we explore the stability of system andachieve the locally asymptotic stability of the model. For threshold policies, by using controlLyapunov function, we explore the stability of system and achieve the global asymptoticstability of the model. we study the threshold policy being applyed to a species or two speciesin predator-prey system, which also has very important application in the renewable resourcesand sustainable yield. |
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