메뉴 건너뛰기




Volumn 51, Issue 9-10, 2010, Pages 1064-1070

An analysis of a predator-prey model with both diffusion and migration

Author keywords

Diffusion and migration; Dispersal relation; Frequency; Wave number

Indexed keywords

DIFFUSION AND MIGRATION; MATHEMATICAL ANALYSIS; MIGRATION MODEL; NUMERICAL SIMULATION; PHASE EQUATION; PREDATOR-PREY MODELS; REACTION DIFFUSION; WAVE BEHAVIOR; WAVE NUMBERS;

EID: 77649184496     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.12.010     Document Type: Article
Times cited : (22)

References (29)
  • 1
    • 33847055875 scopus 로고    scopus 로고
    • Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
    • Baurmann M., Gross T., and Feudel U. Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations. J. Theoret. Biol. 245 (2007) 220-229
    • (2007) J. Theoret. Biol. , vol.245 , pp. 220-229
    • Baurmann, M.1    Gross, T.2    Feudel, U.3
  • 2
    • 0036733930 scopus 로고    scopus 로고
    • Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems
    • Medvinsky A.B., et al. Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems. SIAM Rev. 44 (2002) 311-370
    • (2002) SIAM Rev. , vol.44 , pp. 311-370
    • Medvinsky, A.B.1
  • 4
    • 0027806283 scopus 로고
    • Diffusion-induced chaos in a spatial predator-prey system
    • Pascual M. Diffusion-induced chaos in a spatial predator-prey system. Proc. R. Soc. B 25 (1993) 1-7
    • (1993) Proc. R. Soc. B , vol.25 , pp. 1-7
    • Pascual, M.1
  • 5
    • 0036113356 scopus 로고    scopus 로고
    • Allee effect makes possible patchy invasion in a predator-prey system
    • Petrovskii S.V., Morozov A.Y., and Venturino E. Allee effect makes possible patchy invasion in a predator-prey system. Ecol. Lett. 5 (2002) 345-352
    • (2002) Ecol. Lett. , vol.5 , pp. 345-352
    • Petrovskii, S.V.1    Morozov, A.Y.2    Venturino, E.3
  • 6
    • 0035127918 scopus 로고    scopus 로고
    • Periodic travelling waves in cyclic predator-prey systems
    • Sherratt J.A. Periodic travelling waves in cyclic predator-prey systems. Ecol. Lett. 4 (2001) 30-37
    • (2001) Ecol. Lett. , vol.4 , pp. 30-37
    • Sherratt, J.A.1
  • 8
    • 0030814768 scopus 로고    scopus 로고
    • Oscillations and chaos behind predator-prey invasion: Mathematical artifact or ecological reality?
    • Sherratt J.A., Eagan B.T., and Lewis M.A. Oscillations and chaos behind predator-prey invasion: Mathematical artifact or ecological reality?. Phil. Trans. R. Soc. B 352 (1997) 21-38
    • (1997) Phil. Trans. R. Soc. B , vol.352 , pp. 21-38
    • Sherratt, J.A.1    Eagan, B.T.2    Lewis, M.A.3
  • 10
    • 23944516790 scopus 로고    scopus 로고
    • Invasion waves in populations with excitable dynamics
    • Brindley J., Biktashev V.N., and Tsyganov M.A. Invasion waves in populations with excitable dynamics. Biol. Inv. 7 (2005) 807-816
    • (2005) Biol. Inv. , vol.7 , pp. 807-816
    • Brindley, J.1    Biktashev, V.N.2    Tsyganov, M.A.3
  • 11
    • 33947514402 scopus 로고    scopus 로고
    • Finite difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
    • Garvie M.R. Finite difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Bull. Math. Biol. 69 (2007) 931-956
    • (2007) Bull. Math. Biol. , vol.69 , pp. 931-956
    • Garvie, M.R.1
  • 12
    • 0031662774 scopus 로고    scopus 로고
    • Circles and spirals: Population persistence in a spatially explicit predator-prey model
    • Gurney W.S.C., et al. Circles and spirals: Population persistence in a spatially explicit predator-prey model. Ecology 79 (1998) 2516-2530
    • (1998) Ecology , vol.79 , pp. 2516-2530
    • Gurney, W.S.C.1
  • 13
    • 3042846003 scopus 로고    scopus 로고
    • Bifurcations and chaos in a predator-prey system with the Allee effect
    • Morozov A.Y., Petrovskii S.V., and Li B.-L. Bifurcations and chaos in a predator-prey system with the Allee effect. Proc. R. Soc. B 271 (2004) 1407-1414
    • (2004) Proc. R. Soc. B , vol.271 , pp. 1407-1414
    • Morozov, A.Y.1    Petrovskii, S.V.2    Li, B.-L.3
  • 14
    • 54049134367 scopus 로고    scopus 로고
    • Dynamical complexity of a spatial predator-prey model with migration
    • Sun G.Q., et al. Dynamical complexity of a spatial predator-prey model with migration. Ecol. Model. 219 (2008) 248-255
    • (2008) Ecol. Model. , vol.219 , pp. 248-255
    • Sun, G.Q.1
  • 15
    • 64749094725 scopus 로고    scopus 로고
    • Spatial pattern in a predator-prey system with both self- and cross-diffusion
    • Sun G.Q., et al. Spatial pattern in a predator-prey system with both self- and cross-diffusion. Internat. J. Modern Phys. B 20 (2009) 71
    • (2009) Internat. J. Modern Phys. B , vol.20 , pp. 71
    • Sun, G.Q.1
  • 17
    • 0024219255 scopus 로고
    • Dynamic optimization of combined harvesting of a two-species fishery
    • Chaudhuri K. Dynamic optimization of combined harvesting of a two-species fishery. Ecol. Model. 41 (1988) 17-25
    • (1988) Ecol. Model. , vol.41 , pp. 17-25
    • Chaudhuri, K.1
  • 18
    • 51349145145 scopus 로고    scopus 로고
    • Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate
    • P08011
    • Sun G.-Q., et al. Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate. J. Stat. Mech. Theory Exp. (2008) P08011
    • (2008) J. Stat. Mech. Theory Exp.
    • Sun, G.-Q.1
  • 19
    • 38049009460 scopus 로고    scopus 로고
    • Pattern formation in a spatial S-I model with nonlinear incidence rates
    • P11011
    • Sun G., et al. Pattern formation in a spatial S-I model with nonlinear incidence rates. J. Stat. Mech. Theory Exp. (2007) P11011
    • (2007) J. Stat. Mech. Theory Exp.
    • Sun, G.1
  • 20
    • 0035892962 scopus 로고    scopus 로고
    • Xmds: Extensible multi-dimensional simulator
    • Collecutt G., and Drummond P.D. Xmds: Extensible multi-dimensional simulator. Comput. Phys. Comm. 142 (2001) 219-223
    • (2001) Comput. Phys. Comm. , vol.142 , pp. 219-223
    • Collecutt, G.1    Drummond, P.D.2
  • 21
    • 77649183508 scopus 로고    scopus 로고
    • P.T. Cochrane, et al. Xmds: An open source numerical simulation package. Version 1.6.4, 2008
    • P.T. Cochrane, et al. Xmds: An open source numerical simulation package. Version 1.6.4, 2008. www.xmds.org
  • 22
    • 0000944744 scopus 로고
    • Formation of dissipative structures in reaction-diffusion systems-reductive perturbation approach
    • Kuramoto Y., and Tsuzuki T. Formation of dissipative structures in reaction-diffusion systems-reductive perturbation approach. Progr. Theoret. Phys. 54 (1975) 687-699
    • (1975) Progr. Theoret. Phys. , vol.54 , pp. 687-699
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 23
    • 34249653152 scopus 로고    scopus 로고
    • Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
    • Yamada H., et al. Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold. J. Math. Biol. 54 (2007) 745-760
    • (2007) J. Math. Biol. , vol.54 , pp. 745-760
    • Yamada, H.1
  • 24
    • 36849104210 scopus 로고
    • Phase waves in oscillatory chemical reactions
    • Ortoleva P., and Ross J. Phase waves in oscillatory chemical reactions. J. Chem. Phys. 58 (1973) 5673-5680
    • (1973) J. Chem. Phys. , vol.58 , pp. 5673-5680
    • Ortoleva, P.1    Ross, J.2
  • 25
    • 0039450317 scopus 로고
    • Pattern formation in oscillatory chemical-reactions
    • Kuramoto Y., and Yamada T. Pattern formation in oscillatory chemical-reactions. Progr. Theoret. Phys. 56 (1976) 724-740
    • (1976) Progr. Theoret. Phys. , vol.56 , pp. 724-740
    • Kuramoto, Y.1    Yamada, T.2
  • 26
    • 34249747656 scopus 로고
    • Local phase and renormalized frequency in inhomogeneous chemioscillations
    • Ortoleva P. Local phase and renormalized frequency in inhomogeneous chemioscillations. J. Chem. Phys. 64 (1976) 1395-1406
    • (1976) J. Chem. Phys. , vol.64 , pp. 1395-1406
    • Ortoleva, P.1
  • 27
    • 36749116674 scopus 로고
    • On a variety of wave phenomena in chemical-reactions
    • Ortoleva P., and Ross J. On a variety of wave phenomena in chemical-reactions. J. Chem. Phys. 60 (1974) 5090-5107
    • (1974) J. Chem. Phys. , vol.60 , pp. 5090-5107
    • Ortoleva, P.1    Ross, J.2
  • 28
    • 0000403040 scopus 로고
    • Oscillation phase dynamics in the Belousov-Zhabotinsky reaction-implementation to image-processing
    • Aliev R.R. Oscillation phase dynamics in the Belousov-Zhabotinsky reaction-implementation to image-processing. J. Phys. Chem. 98 (1994) 3999-4002
    • (1994) J. Phys. Chem. , vol.98 , pp. 3999-4002
    • Aliev, R.R.1
  • 29
    • 0011545546 scopus 로고
    • Dynamics of the oscillation phase distribution in the BZ reaction
    • Aliev R.R., and Biktashev V.N. Dynamics of the oscillation phase distribution in the BZ reaction. J. Phys. Chem. 98 (1994) 9676-9681
    • (1994) J. Phys. Chem. , vol.98 , pp. 9676-9681
    • Aliev, R.R.1    Biktashev, V.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.