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

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

Acta mathematica scientia,Series B

• Articles • Previous Articles Next Articles

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.

Trendmd

[1]	Ziwei WANG, Lin SUN, Fanchao KONG, Rathinasamy SAKTHIVEL. PERIODICITY AND FIXED-TIME STABILIZATION OF DISCONTINUOUS NEURAL NETWORKS WITH MIXED DELAYS: UNBOUNDED DELAY-DEPENDENT CRITERIA [J]. Acta mathematica scientia,Series B, 2025, 45(3): 1188-1204.
[2]	Xue YANG, Jiamin XING, Yong LI. A GENERAL AVERAGING METHOD FOR AFFINE PERIODIC SOLUTIONS [J]. Acta mathematica scientia,Series B, 2024, 44(6): 2207-2224.
[3]	Maoan HAN, Yan YE. ON THE STABILITY OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC DIFFERENTIAL EQUATIONS [J]. Acta mathematica scientia,Series B, 2024, 44(4): 1524-1535.
[4]	Shuang Chen, Shanshan Guo, Qiuju Xu. THE EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NON-ISOTHERMAL MODEL FOR COMPRESSIBLE NEMATIC LIQUID CRYSTALS IN A PERIODIC DOMAIN [J]. Acta mathematica scientia,Series B, 2024, 44(3): 947-972.
[5]	Jinxia CEN, Stanis law MIGÓRSKI, Emilio VILCHES, Shengda ZENG. TIME PERIODIC SOLUTIONS TO THE EVOLUTIONARY OSEEN MODEL FOR A GENERALIZED NEWTONIAN INCOMPRESSIBLE FLUID^∗ [J]. Acta mathematica scientia,Series B, 2023, 43(4): 1645-1667.
[6]	Thieu Huy NGUYEN, Truong Xuan PHAM, Thi Ngoc Ha VU, The Sac LE. EXISTENCE AND STABILITY OF PERIODIC AND ALMOST PERIODIC SOLUTIONS TO THE BOUSSINESQ SYSTEM IN UNBOUNDED DOMAINS [J]. Acta mathematica scientia,Series B, 2022, 42(5): 1875-1901.
[7]	Lei SHI, Longxing QI, Sulan ZHAI. PERIODIC AND ALMOST PERIODIC SOLUTIONS FOR A NON-AUTONOMOUS RESPIRATORY DISEASE MODEL WITH A LAG EFFECT [J]. Acta mathematica scientia,Series B, 2022, 42(1): 187-211.
[8]	Mingwei WANG, Fei GUO. MULTIPLICITY OF PERIODIC SOLUTIONS FOR SECOND ORDER HAMILTONIAN SYSTEMS WITH MIXED NONLINEARITIES [J]. Acta mathematica scientia,Series B, 2021, 41(2): 371-380.
[9]	Haochuan HUANG, Rui HUANG. ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE CHAFEE-INFANTE EQUATION [J]. Acta mathematica scientia,Series B, 2020, 40(2): 425-441.
[10]	Hairong YUAN. TIME-PERIODIC ISENTROPIC SUPERSONIC EULER FLOWS IN ONE-DIMENSIONAL DUCTS DRIVING BY PERIODIC BOUNDARY CONDITIONS [J]. Acta mathematica scientia,Series B, 2019, 39(2): 403-412.
[11]	Changyou WANG, Nan LI, Yuqian ZHOU, Xingcheng PU, Rui LI. ON A MULTI-DELAY LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH FEEDBACK CONTROLS AND PREY DIFFUSION [J]. Acta mathematica scientia,Series B, 2019, 39(2): 429-448.
[12]	Wenyan CUI, Lufang MI, Li YIN. KAM TORI FOR DEFOCUSING KDV-MKDV EQUATION [J]. Acta mathematica scientia,Series B, 2019, 39(1): 243-258.
[13]	Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL. WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS [J]. Acta mathematica scientia,Series B, 2016, 36(6): 1662-1682.
[14]	Chunhua JIN, Tong YANG. TIME PERIODIC SOLUTION TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN A PERIODIC DOMAIN [J]. Acta mathematica scientia,Series B, 2016, 36(4): 1015-1029.
[15]	Adnène ARBI, Farouk CHÉRIF, Chaouki AOUITI, Abderrahmen TOUATI. DYNAMICS OF NEW CLASS OF HOPFIELD NEURAL NETWORKS WITH TIME-VARYING AND DISTRIBUTED DELAYS [J]. Acta mathematica scientia,Series B, 2016, 36(3): 891-912.

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

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0