OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

doi:10.1016/S0252-9602(07)60040-X

Acta mathematica scientia,Series B

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OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

Dong Lingzhen; Chen Lansun; Sun Lihua

Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

Received:2005-04-04 Revised:2005-11-21 Online:2007-04-20 Published:2007-04-20
Contact: Dong Lingzhen

Abstract

Abstract:

This article studies the inshore-offshore fishery model with impulsive diffusion. The existence and global asymptotic stability of both the trivial
periodic solution and the positive periodic solution are obtained. The complexity of this system is also analyzed. Moreover, the optimal harvesting policy are given for the inshore subpopulation, which includes the maximum sustainable yield and the corresponding harvesting effort.

Key words: Impulsive diffusion, inshore-offshore fishery model, global asymptotic stability, periodic solution, optimal harvesting policy

CLC Number:

92D30

Dong Lingzhen; Chen Lansun; Sun Lihua. OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION[J].Acta mathematica scientia,Series B, 2007, 27(2): 405-412.

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OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

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