메뉴 건너뛰기




Volumn 63, Issue 4, 2011, Pages 537-545

The effect of pulsed harvesting policy on the inshore-offshore fishery model with the impulsive diffusion

Author keywords

Globally asymptotical stability; Impulsive diffusion; Inshore offshore model; Periodic solution

Indexed keywords

ASYMPTOTICAL STABILITY; FISH POPULATIONS; FIXED TIME; IMPULSIVE DIFFUSION; INSHORE-OFFSHORE MODEL; NUMERICAL SIMULATION; PERIODIC SOLUTION; POSITIVE PERIODIC SOLUTION;

EID: 79952004546     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-009-9527-7     Document Type: Article
Times cited : (23)

References (22)
  • 2
    • 0029273568 scopus 로고
    • Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems
    • 10.1007/BF01182789 1309307
    • A.W. Lcung 1995 Optimal harvesting-coefficient control of steady-state prey-predator diffusive Volterra-Lotka systems Appl. Math. Optim. 31 219 10.1007/BF01182789 1309307
    • (1995) Appl. Math. Optim. , vol.31 , pp. 219
    • Lcung, A.W.1
  • 3
    • 0000121733 scopus 로고    scopus 로고
    • Optimal harvesting of stochastically fluctuating populations
    • H.R. Alvarez L.A. Shepp 1998 Optimal harvesting of stochastically fluctuating populations J. Math. (Pubitemid 128735598)
    • (1998) Journal of Mathematical Biology , vol.37 , Issue.2 , pp. 155-177
    • Alvarez, L.H.R.1    Shepp, L.A.2
  • 4
    • 12444292806 scopus 로고    scopus 로고
    • The effect of seasonal harvesting on stage-structured population models
    • 10.1007/s00285-003-0243-5 2065529
    • S.Y. Tang L.S. Chen 2003 The effect of seasonal harvesting on stage-structured population models J. Math. Biol. 48 357 74 10.1007/s00285-003- 0243-5 2065529
    • (2003) J. Math. Biol. , vol.48 , pp. 357-74
    • Tang, S.Y.1    Chen, L.S.2
  • 5
    • 79952005314 scopus 로고    scopus 로고
    • Some challenging mathematical problems in evolution of dispersal and population dynamics
    • A. Friedman (eds). Springer Berlin
    • Lou, Y.: Some challenging mathematical problems in evolution of dispersal and population dynamics. In: Friedman, A. (ed.) Tutorials in Mathematical Biosciences. Evolution and Ecology, vol. IV. Springer, Berlin (2008)
    • (2008) Tutorials in Mathematical Biosciences. Evolution and Ecology , vol.4
    • Lou, Y.1
  • 6
    • 0000839494 scopus 로고    scopus 로고
    • Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays
    • 10.1137/0148035 941104
    • E. Beretta Y. Takeuchi 1998 Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays SIAM J. Appl. Math. 48 627 51 10.1137/0148035 941104
    • (1998) SIAM J. Appl. Math. , vol.48 , pp. 627-51
    • Beretta, E.1    Takeuchi, Y.2
  • 7
    • 0023083590 scopus 로고
    • Global stability of single species diffusion Volterra models with continuous time delays
    • 908159 0627.92021
    • E. Beretta Y. Takeuchi 1987 Global stability of single species diffusion Volterra models with continuous time delays Bull. Math. Biol. 49 431 48 908159 0627.92021
    • (1987) Bull. Math. Biol. , vol.49 , pp. 431-48
    • Beretta, E.1    Takeuchi, Y.2
  • 8
    • 0000262789 scopus 로고
    • Global stability and predator dynamics in a model of prey dispersal in a patchy environment
    • 10.1016/0362-546X(89)90026-6 1009083
    • H.I. Freedman Y. Takeuchi 1989 Global stability and predator dynamics in a model of prey dispersal in a patchy environment Nonlinear Anal. 13 1002 993 10.1016/0362-546X(89)90026-6 1009083
    • (1989) Nonlinear Anal. , vol.13 , pp. 1002-993
    • Freedman, H.I.1    Takeuchi, Y.2
  • 9
    • 0000657160 scopus 로고
    • Single species migration in two habitats: Persistence and extinction
    • 10.1016/0270-0255(87)90689-0
    • H.I. Freedman 1987 Single species migration in two habitats: persistence and extinction Math. Model. 8 778 80 10.1016/0270-0255(87)90689-0
    • (1987) Math. Model. , vol.8 , pp. 778-80
    • Freedman, H.I.1
  • 10
    • 38249043753 scopus 로고
    • Mathematical models of population interactions with dispersal, II: Differential survival in a change of habitat
    • 10.1016/0022-247X(86)90029-6 835590 0588.92020
    • H.I. Freedman B. Rai P. Waltman 1986 Mathematical models of population interactions with dispersal, II: differential survival in a change of habitat J. Math. Anal. Appl. 115 140 54 10.1016/0022-247X(86)90029-6 835590 0588.92020
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 140-54
    • Freedman, H.I.1    Rai, B.2    Waltman, P.3
  • 11
    • 1842787588 scopus 로고    scopus 로고
    • Stabilizing effects in spatial parasitoid-host and predator-prey models: A review
    • DOI 10.1016/j.tpb.2003.11.001, PII S004058090400005X
    • C. Briggs M. Hoopes 2004 Stabilizing effects in spatial parasitoid-host and predator-prey models: a review Theor. Popul. Biol. 65 299 315 10.1016/j.tpb.2003.11.001 1109.92047 (Pubitemid 38458863)
    • (2004) Theoretical Population Biology , vol.65 , Issue.3 , pp. 299-315
    • Briggs, C.J.1    Hoopes, M.F.2
  • 12
    • 0028359362 scopus 로고
    • Predator-prey dynamics in models of prey dispersal in two path environments
    • 10.1016/0025-5564(94)90038-8 1281745
    • Y. Kuang Y. Takeuchi 1994 Predator-prey dynamics in models of prey dispersal in two path environments Math. Biosci. 120 98 77 10.1016/0025-5564(94) 90038-8 1281745
    • (1994) Math. Biosci. , vol.120 , pp. 98-77
    • Kuang, Y.1    Takeuchi, Y.2
  • 13
    • 0000655047 scopus 로고
    • Permeance and global stability for cooperative Lotka-Volterra diffusion systems
    • 1192275
    • Z.Y. Lu Y. Takeuchi 1992 Permeance and global stability for cooperative Lotka-Volterra diffusion systems Nonlinear Anal. 10 963 75 1192275
    • (1992) Nonlinear Anal. , vol.10 , pp. 963-75
    • Lu, Z.Y.1    Takeuchi, Y.2
  • 14
    • 0001363099 scopus 로고
    • Mathematical models of population interactions with dispersal, I: Stability of two habitats with and without a predator
    • 10.1137/0132052 496839
    • H.I. Freedman P. Waltman 1977 Mathematical models of population interactions with dispersal, I: stability of two habitats with and without a predator SIAM J. Appl. Math. 32 63 48 10.1137/0132052 496839
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 63-48
    • Freedman, H.I.1    Waltman, P.2
  • 15
    • 0020420302 scopus 로고
    • Dynamics of a single species in a spatially varying environment: The stability role of high dispersal rates
    • 693372
    • A. Hastings 1982 Dynamics of a single species in a spatially varying environment: the stability role of high dispersal rates J. Math. Biol. 16 55 49 693372
    • (1982) J. Math. Biol. , vol.16 , pp. 55-49
    • Hastings, A.1
  • 16
    • 0000201867 scopus 로고
    • Population dynamics in two-patch environments: Some anomalous consequences of optional habitat selection
    • 10.1016/0040-5809(85)90027-9 809777
    • R.D. Holt 1985 Population dynamics in two-patch environments: some anomalous consequences of optional habitat selection Theor. Popul. Biol. 28 208 181 10.1016/0040-5809(85)90027-9 809777
    • (1985) Theor. Popul. Biol. , vol.28 , pp. 208-181
    • Holt, R.D.1
  • 17
    • 84863116421 scopus 로고    scopus 로고
    • Permanence and global stability in an impulsive Lotka-Volterra N-species competitive system with both discrete delays and continuous delays
    • 10.1142/S1793524508000151 2444295 1155.92356
    • X.Z. Meng L.S. Chen 2008 Permanence and global stability in an impulsive Lotka-Volterra N-species competitive system with both discrete delays and continuous delays Int. J. Biomath. 1 2 179 196 10.1142/S1793524508000151 2444295 1155.92356
    • (2008) Int. J. Biomath. , vol.1 , Issue.2 , pp. 179-196
    • Meng, X.Z.1    Chen, L.S.2
  • 18
    • 84863116818 scopus 로고    scopus 로고
    • An impulsive predator-prey system with Beddington-Deangelis functional response and time delay
    • 10.1142/S1793524508000072 2419643 1155.92045
    • H. Zhang P. Georgescu L.S. Chen 2008 An impulsive predator-prey system with Beddington-Deangelis functional response and time delay Int. J. Biomath. (IJB) 1 1 17 10.1142/S1793524508000072 2419643 1155.92045
    • (2008) Int. J. Biomath. (IJB) , vol.1 , pp. 1-17
    • Zhang, H.1    Georgescu, P.2    Chen, L.S.3
  • 19
    • 34247382368 scopus 로고    scopus 로고
    • On the study of chemostat model with pulsed in a polluted environment
    • ID 90158
    • Zhao, Z., Song, X.Y.: On the study of chemostat model with pulsed in a polluted environment. Discrete Dyn. Nat. Soc. (2007). ID 90158, 12 pages
    • (2007) Discrete Dyn. Nat. Soc. , pp. 12
    • Zhao, Z.1    Song, X.Y.2
  • 20
    • 31444436956 scopus 로고    scopus 로고
    • Dynamic complexities in a periodically pulsed ratio-dependent predator-prey ecosystem modeled on a chemostat
    • DOI 10.1016/j.chaos.2005.08.036, PII S0960077905006697
    • J. Hui L.S. Chen 2006 Dynamic complexities in a periodically pulsed ratio-dependent predator-prey ecosystem modeled on a chemostat Chaos, Solitons Fractals 29 407 416 10.1016/j.chaos.2005.08.036 2211477 1095.92066 (Pubitemid 43152208)
    • (2006) Chaos, Solitons and Fractals , vol.29 , Issue.2 , pp. 407-416
    • Hui, J.1    Chen, L.2
  • 21
    • 0007452641 scopus 로고
    • Cooperative systems of differential equations with concave nonlinearities
    • 10.1016/0362-546X(86)90087-8
    • H.L. Smith 1986 Cooperative systems of differential equations with concave nonlinearities Nonlinear Anal. TMA 10 1052 1037 10.1016/0362-546X(86) 90087-8
    • (1986) Nonlinear Anal. TMA , vol.10 , pp. 1052-1037
    • Smith, H.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.