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Volumn 51, Issue 4, 2005, Pages 367-388

Periodic solutions in modelling lagoon ecological interactions

Author keywords

Lagoon ecology; Mathematical model; Nutrient; oxygen; Parameter estimation; Periodic solutions periodic parabolic eigenvalue; Phytoplankton; Zooplankton

Indexed keywords

OXYGEN;

EID: 26444576444     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0325-7     Document Type: Article
Times cited : (23)

References (39)
  • 1
    • 0036812105 scopus 로고    scopus 로고
    • Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system
    • Abdllaoui, A.El, Chattopadhyay, J., Arino, O. Comparisons, by models, of some basic mechanisms acting on the dynamics of the zooplankton-toxic phytoplankton system. Math. Models Meth. Appl. Sci. 12, 1421-1451 (2002)
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 1421-1451
    • Abdllaoui, A.E.1    Chattopadhyay, J.2    Arino, O.3
  • 3
    • 0346574857 scopus 로고
    • A comparison theorem for nonlinear operators
    • Allegretto, W.: A comparison theorem for nonlinear operators. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 25 (1971), 41-46 (1971)
    • (1971) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.25 , Issue.1971 , pp. 41-46
    • Allegretto, W.1
  • 7
    • 0033375165 scopus 로고    scopus 로고
    • Oxygen dynamics in a highly trophic aquatic environment. The case of Orbetello coastal lagoon
    • Buffoni, G., Cappelletti, A.: Oxygen dynamics in a highly trophic aquatic environment. The case of Orbetello coastal lagoon. Estuarine, Coastal and Shelf Science 49, 763-774 (1999)
    • (1999) Estuarine, Coastal and Shelf Science , vol.49 , pp. 763-774
    • Buffoni, G.1    Cappelletti, A.2
  • 8
    • 0036974777 scopus 로고    scopus 로고
    • Conditional persistence in logistic models via nonlinear diffusion
    • Edinburgh
    • Cantrell, R., Cosner, C.: Conditional persistence in logistic models via nonlinear diffusion. Proc. Roy. Soc. Edinburgh 132A, 267-281 (2002)
    • (2002) Proc. Roy. Soc. , vol.132 A , pp. 267-281
    • Cantrell, R.1    Cosner, C.2
  • 9
    • 0035310967 scopus 로고    scopus 로고
    • Management strategies for the control of eutrophication processes in Fogliano Lagoon (Italy): A long-term analysis using a mathematical model
    • Cioffi, F., Gallerano, F.: Management strategies for the control of eutrophication processes in Fogliano Lagoon (Italy): a long-term analysis using a mathematical model. Appl. Math. Mod. 25, 385-426 (2001)
    • (2001) Appl. Math. Mod. , vol.25 , pp. 385-426
    • Cioffi, F.1    Gallerano, F.2
  • 10
    • 26444599678 scopus 로고
    • Un modello trofico tridimensionale per gli ambienti acquatici lagunari-possibili applicazioni in alcune aree dell'alto Adriatico
    • Urbino
    • Cioffi, F., Gallerano, F., Hull, V., Izzo, G.: Un modello trofico tridimensionale per gli ambienti acquatici lagunari-possibili applicazioni in alcune aree dell'alto Adriatico. Proceedings of Protezione Ecological dell'Adriatico, Urbino, pp. 89-112, 1991
    • (1991) Proceedings of Protezione Ecological dell'Adriatico , pp. 89-112
    • Cioffi, F.1    Gallerano, F.2    Hull, V.3    Izzo, G.4
  • 11
    • 84966251421 scopus 로고
    • On the existence and uniqueness of positive solutions for competitive species models with diffusion
    • Dancer, E.N.: On the existence and uniqueness of positive solutions for competitive species models with diffusion. Trans. Am. Math. Soc. 326, 829-859 (1991)
    • (1991) Trans. Am. Math. Soc. , vol.326 , pp. 829-859
    • Dancer, E.N.1
  • 13
    • 0031286911 scopus 로고    scopus 로고
    • Periodic-parabolic eigenvalue problems with indefinite weight functions
    • Daners, D.: Periodic-parabolic eigenvalue problems with indefinite weight functions. Arch. Math. 68, 388-397 (1997)
    • (1997) Arch. Math. , vol.68 , pp. 388-397
    • Daners, D.1
  • 15
    • 0036268974 scopus 로고    scopus 로고
    • NPZ Models of plankton dynamics, their construction, coupling to physics and application
    • Franks, P.: NPZ Models of plankton dynamics, their construction, coupling to physics and application. J. Oceanography 58, 379-387 (2002)
    • (2002) J. Oceanography , vol.58 , pp. 379-387
    • Franks, P.1
  • 16
    • 26444528990 scopus 로고    scopus 로고
    • Diffusion-mediated permanence problem for a heterogeneous Lotka-Volterra competition model
    • Edinburgh
    • Furter, J., Lopez-Gomez, J.: Diffusion-mediated permanence problem for a heterogeneous Lotka-Volterra competition model. Proc. Roy. Soc. Edinburgh 127, 281-336 (1997)
    • (1997) Proc. Roy. Soc. , vol.127 , pp. 281-336
    • Furter, J.1    Lopez-Gomez, J.2
  • 17
  • 18
    • 84990585735 scopus 로고
    • Uniqueness and nonuniqueness of coexistence states in the Lotka-Volterra competition model
    • Gui, C., Lou, Y.: Uniqueness and nonuniqueness of coexistence states in the Lotka-Volterra competition model. Commun. Pure Appl. Math. 47, 1571-1594 (1994)
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 1571-1594
    • Gui, C.1    Lou, Y.2
  • 20
    • 0037054955 scopus 로고    scopus 로고
    • A nutrient-prey-predator model with intratrophic predation
    • Jang, S., Baglama, J.: A nutrient-prey-predator model with intratrophic predation. Appl. Math. Comput. 129, 517-536 (2002)
    • (2002) Appl. Math. Comput. , vol.129 , pp. 517-536
    • Jang, S.1    Baglama, J.2
  • 23
    • 0034747506 scopus 로고    scopus 로고
    • Global bifurcation and longtime behaviour of the Volterra-Lotka ecological model
    • Li, K., Wang, L.: Global bifurcation and longtime behaviour of the Volterra-Lotka ecological model. International Journal of Bifurcation and Chaos 11, 133-142 (2001)
    • (2001) International Journal of Bifurcation and Chaos , vol.11 , pp. 133-142
    • Li, K.1    Wang, L.2
  • 24
    • 0034143390 scopus 로고    scopus 로고
    • Oxygen dynamics in coastal and lagoon ecosystems
    • Lunardini, F., DiCola, G.: Oxygen dynamics in coastal and lagoon ecosystems. Math. Comput. Modelling 31, 135-141 (2000)
    • (2000) Math. Comput. Modelling , vol.31 , pp. 135-141
    • Lunardini, F.1    DiCola, G.2
  • 25
    • 0034882591 scopus 로고    scopus 로고
    • Annual variation of environmental variables, plytoplankton species composition and photosynthetic parameters in a coastal lagoon
    • Macedo, M., Duarte, P., Mendes, P., Ferreira, J.G.: Annual variation of environmental variables, plytoplankton species composition and photosynthetic parameters in a coastal lagoon. Journal of Plankton Research 23, 719-732 (2001)
    • (2001) Journal of Plankton Research , vol.23 , pp. 719-732
    • Macedo, M.1    Duarte, P.2    Mendes, P.3    Ferreira, J.G.4
  • 27
    • 0037173605 scopus 로고    scopus 로고
    • A mathematical model for a spatial predator-prey interaction
    • Palumbo, A., Valenti, G.: A mathematical model for a spatial predator-prey interaction. Math. Meth. Appl. Sci. 25, 945-954 (2002)
    • (2002) Math. Meth. Appl. Sci. , vol.25 , pp. 945-954
    • Palumbo, A.1    Valenti, G.2
  • 28
    • 0033120656 scopus 로고    scopus 로고
    • A minimal model of pattern formation in a prey-predator system
    • Petrovskii, S.V., Malchow, H.: A minimal model of pattern formation in a prey-predator system. Math. Comput. Model. 29, 49-63 (1999)
    • (1999) Math. Comput. Model. , vol.29 , pp. 49-63
    • Petrovskii, S.V.1    Malchow, H.2
  • 29
    • 0036133033 scopus 로고    scopus 로고
    • The numerical simulation of the hydrodynamics of Barbamarco Lagoon. Italy
    • Ramirez, I., Imberger, J.: The numerical simulation of the hydrodynamics of Barbamarco Lagoon. Italy, Appl. Numer. Math. 40, 273-289 (2002)
    • (2002) Appl. Numer. Math. , vol.40 , pp. 273-289
    • Ramirez, I.1    Imberger, J.2
  • 32
    • 0030617785 scopus 로고    scopus 로고
    • Modelling macroalgae (ulva rigida) in the Venice lagoon: Model structure identification and first parameter estimation
    • Solidoro, C., Pecenik, G., Pastres, R., Franco, D., Dejak, C.: Modelling macroalgae (ulva rigida) in the Venice lagoon: Model structure identification and first parameter estimation. Ecological Modelling 94, 191-206 (1997)
    • (1997) Ecological Modelling , vol.94 , pp. 191-206
    • Solidoro, C.1    Pecenik, G.2    Pastres, R.3    Franco, D.4    Dejak, C.5
  • 33
    • 0036677909 scopus 로고    scopus 로고
    • Qualitative analysis of a chemotactic diffusion model for two species competing for a limited resource
    • Wang, X., Wu, Y.: Qualitative analysis of a chemotactic diffusion model for two species competing for a limited resource. Quarterly of Applied Mathematics 60, 505-531 (2002)
    • (2002) Quarterly of Applied Mathematics , vol.60 , pp. 505-531
    • Wang, X.1    Wu, Y.2
  • 35
    • 0011421483 scopus 로고
    • 2,μ(Ω) estimate to the mixed boundary value problem for second order elliptic equations, and its application in the thermistor problem
    • 2,μ(Ω) estimate to the mixed boundary value problem for second order elliptic equations, and its application in the thermistor problem. Nonlinear Anal. T.M.A. 24, 9-27 (1995)
    • (1995) Nonlinear Anal. , vol.T.M.A. 24 , pp. 9-27
    • Xie, H.1
  • 36
    • 0011479743 scopus 로고    scopus 로고
    • 2,μ(Ω) estimates for parabolic equations and applications
    • 2,μ(Ω) estimates for parabolic equations and applications. J. Partial Diff. Eqs. 10, 31-44 (1997)
    • (1997) J. Partial Diff. Eqs. , vol.10 , pp. 31-44
    • Yin, H.1
  • 37
    • 0030413307 scopus 로고    scopus 로고
    • Permanence and global stability for a two-species cooperative system with time delays in a two-patch environment
    • Zhang, J., Chen, L. Permanence and global stability for a two-species cooperative system with time delays in a two-patch environment. Computers Math. Applic. 32, 101-108 (1996)
    • (1996) Computers Math. Applic. , vol.32 , pp. 101-108
    • Zhang, J.1    Chen, L.2
  • 38
    • 0024922804 scopus 로고
    • Modelling photosynthesis and oxygen in a shallow, hypertrophic lake
    • Van Duin, E.H.S., Lijklema, L.: Modelling photosynthesis and oxygen in a shallow, hypertrophic lake. Ecological Modelling 45-4, 243-260 (1989)
    • (1989) Ecological Modelling , vol.45 , Issue.4 , pp. 243-260
    • Van Duin, E.H.S.1    Lijklema, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.