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Volumn 104, Issue 1, 2011, Pages 48-56

The effect of colored noise on spatiotemporal dynamics of biological invasion in a diffusive predator-prey system

Author keywords

Biological invasion; Colored noise; Predator prey; Spatiotemporal dynamics

Indexed keywords

BIOLOGICAL INVASION; COLOR; EXTINCTION; IDENTIFICATION METHOD; MATHEMATICAL ANALYSIS; NOISE; NUMERICAL MODEL; PREDATOR-PREY INTERACTION; SIGNAL; SPATIOTEMPORAL ANALYSIS;

EID: 79952311338     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2010.12.011     Document Type: Article
Times cited : (12)

References (34)
  • 1
    • 0017907478 scopus 로고
    • Response of predator-prey nutrient enrichment and proportional harvesting
    • Brauer F., Soudack A.C. Response of predator-prey nutrient enrichment and proportional harvesting. Int. J. Control 1978, 27:65-86.
    • (1978) Int. J. Control , vol.27 , pp. 65-86
    • Brauer, F.1    Soudack, A.C.2
  • 2
    • 0028971661 scopus 로고
    • Red, white and blue: environmental variance spectra and coexistence in metapopulations
    • Caswell H., Cohen J.E. Red, white and blue: environmental variance spectra and coexistence in metapopulations. J. Theor. Biol. 1995, 176:301-316.
    • (1995) J. Theor. Biol. , vol.176 , pp. 301-316
    • Caswell, H.1    Cohen, J.E.2
  • 3
    • 0028179780 scopus 로고
    • Predicting extinction times from environmental stochasticity and carrying capacity
    • Foley P. Predicting extinction times from environmental stochasticity and carrying capacity. Conserv. Biol. 1994, 8:124-137.
    • (1994) Conserv. Biol. , vol.8 , pp. 124-137
    • Foley, P.1
  • 4
    • 0002711814 scopus 로고    scopus 로고
    • Spread of organisms: can travelling and dispersive waves be distinguished?
    • Frantzen J., van den Bosch F. Spread of organisms: can travelling and dispersive waves be distinguished?. Basic Appl. Ecol. 2000, 1:83-91.
    • (2000) Basic Appl. Ecol. , vol.1 , pp. 83-91
    • Frantzen, J.1    van den Bosch, F.2
  • 5
    • 37049248026 scopus 로고
    • Enriched predator-prey systems: theoretical stability
    • Gilpin M.E. Enriched predator-prey systems: theoretical stability. Science 1972, 177:902-904.
    • (1972) Science , vol.177 , pp. 902-904
    • Gilpin, M.E.1
  • 7
    • 0030251402 scopus 로고    scopus 로고
    • Models of spatial spread: a synthesis
    • Hastings A. Models of spatial spread: a synthesis. Biol. Conserv. 1996, 78:143-148.
    • (1996) Biol. Conserv. , vol.78 , pp. 143-148
    • Hastings, A.1
  • 9
    • 0002054228 scopus 로고
    • Resilience and stability of ecological systems
    • Holling C.S. Resilience and stability of ecological systems. Ann. Rev. Ecolog. Syst. 1973, 4:1-23.
    • (1973) Ann. Rev. Ecolog. Syst. , vol.4 , pp. 1-23
    • Holling, C.S.1
  • 10
    • 0028176208 scopus 로고
    • Partial differential equations in ecology: spatial interactions and population dynamics
    • Holmes E.E., Lewis M.A., Banks J.E., Veit R.R. Partial differential equations in ecology: spatial interactions and population dynamics. Ecology 1994, 75:17-29.
    • (1994) Ecology , vol.75 , pp. 17-29
    • Holmes, E.E.1    Lewis, M.A.2    Banks, J.E.3    Veit, R.R.4
  • 12
    • 0035117132 scopus 로고    scopus 로고
    • Allee effects, invasion pinning, and species_ borders
    • Keitt T.H., Lewis M.A., Holt R.D. Allee effects, invasion pinning, and species_ borders. Am. Nat. 2001, 157:203-216.
    • (2001) Am. Nat. , vol.157 , pp. 203-216
    • Keitt, T.H.1    Lewis, M.A.2    Holt, R.D.3
  • 13
    • 0027331845 scopus 로고
    • Risks of population extinction from demographic and environmental stochasticity and random catastrophes
    • Lande R. Risks of population extinction from demographic and environmental stochasticity and random catastrophes. Am. Nat. 1993, 142:911-922.
    • (1993) Am. Nat. , vol.142 , pp. 911-922
    • Lande, R.1
  • 14
    • 0023488262 scopus 로고
    • A recent increase in jellyfish populations: a predator-prey model and its implications
    • Legovic T. A recent increase in jellyfish populations: a predator-prey model and its implications. Ecol. Modell. 1987, 38:243-256.
    • (1987) Ecol. Modell. , vol.38 , pp. 243-256
    • Legovic, T.1
  • 15
    • 0034328329 scopus 로고    scopus 로고
    • Spread rate for a nonlinear stochastic invasion
    • Lewis M.A. Spread rate for a nonlinear stochastic invasion. J. Math. Biol. 2000, 41:430-454.
    • (2000) J. Math. Biol. , vol.41 , pp. 430-454
    • Lewis, M.A.1
  • 16
    • 0034327966 scopus 로고    scopus 로고
    • Modeling and analysis of stochastic invasion processes
    • Lewis M.A., Pacala S. Modeling and analysis of stochastic invasion processes. J. Math. Biol. 2000, 41:387-429.
    • (2000) J. Math. Biol. , vol.41 , pp. 387-429
    • Lewis, M.A.1    Pacala, S.2
  • 17
    • 0027845917 scopus 로고
    • Spatio-temporal pattern formation in nonlinear nonequilibrium plankton dynamics
    • Malchow H. Spatio-temporal pattern formation in nonlinear nonequilibrium plankton dynamics. Proc. R. Soc. Lond. B 1993, 251:103-109.
    • (1993) Proc. R. Soc. Lond. B , vol.251 , pp. 103-109
    • Malchow, H.1
  • 18
    • 0036534034 scopus 로고    scopus 로고
    • Numerical study of plankton-fish dynamics in a spatially structured and noisy environment
    • Malchow H., Petrovskii S.V., Medvinsky A.B. Numerical study of plankton-fish dynamics in a spatially structured and noisy environment. Ecol. Modell. 2002, 149:247-255.
    • (2002) Ecol. Modell. , vol.149 , pp. 247-255
    • Malchow, H.1    Petrovskii, S.V.2    Medvinsky, A.B.3
  • 19
    • 0039645998 scopus 로고
    • Limit cycles in predator-prey communities
    • May R.M. Limit cycles in predator-prey communities. Science 1972, 177:900-902.
    • (1972) Science , vol.177 , pp. 900-902
    • May, R.M.1
  • 21
    • 28444465570 scopus 로고    scopus 로고
    • Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect
    • Morozov A., Petrovskii S.V., Li B.L. Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect. J. Theor. Biol. 2006, 238:18-35.
    • (2006) J. Theor. Biol. , vol.238 , pp. 18-35
    • Morozov, A.1    Petrovskii, S.V.2    Li, B.L.3
  • 22
    • 56949094265 scopus 로고    scopus 로고
    • Patterns of patchy spread in multi-species reaction-diffusion models
    • Morozov A., Ruan S., Li B.L. Patterns of patchy spread in multi-species reaction-diffusion models. Ecol. Complex. 2008, 5:313-328.
    • (2008) Ecol. Complex. , vol.5 , pp. 313-328
    • Morozov, A.1    Ruan, S.2    Li, B.L.3
  • 24
    • 0031583983 scopus 로고    scopus 로고
    • Effects of population persistence: the interaction between environmental noise colour, intraspecific competition and space
    • Petchey O.L., Gonzalez A., Wilson H.B. Effects of population persistence: the interaction between environmental noise colour, intraspecific competition and space. Proc. R. Soc. Lond. B 1997, 264:1841-1847.
    • (1997) Proc. R. Soc. Lond. B , vol.264 , pp. 1841-1847
    • Petchey, O.L.1    Gonzalez, A.2    Wilson, H.B.3
  • 25
    • 0032860454 scopus 로고    scopus 로고
    • Plankton front waves accelerated by marine turbulence
    • Petrovskii S.V. Plankton front waves accelerated by marine turbulence. J. Marine Systems 1999, 21:179-188.
    • (1999) J. Marine Systems , vol.21 , pp. 179-188
    • Petrovskii, S.V.1
  • 26
    • 23944452335 scopus 로고    scopus 로고
    • Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control
    • Petrovskii S.V., Malchow H., Hilker F., Venturino E. Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control. Biol. Invasions 2005, 7:771-793.
    • (2005) Biol. Invasions , vol.7 , pp. 771-793
    • Petrovskii, S.V.1    Malchow, H.2    Hilker, F.3    Venturino, E.4
  • 27
    • 0036113356 scopus 로고    scopus 로고
    • Allee effect makes possible patchy invasion in a predator-prey system
    • Petrovskii S.V., Morozov A.Y., Venturino E. Allee effect makes possible patchy invasion in a predator-prey system. Ecol. Lett. 2002, 5:345-352.
    • (2002) Ecol. Lett. , vol.5 , pp. 345-352
    • Petrovskii, S.V.1    Morozov, A.Y.2    Venturino, E.3
  • 28
    • 16344366772 scopus 로고    scopus 로고
    • Regimes of biological invasion in a predator-prey system with the Allee effect
    • Petrovskii S.V., Morozov A.Y., Li B.L. Regimes of biological invasion in a predator-prey system with the Allee effect. Bull. Math. Biol. 2005, 67:637-661.
    • (2005) Bull. Math. Biol. , vol.67 , pp. 637-661
    • Petrovskii, S.V.1    Morozov, A.Y.2    Li, B.L.3
  • 29
    • 0030411203 scopus 로고    scopus 로고
    • Noise colour and the risk of population extinction
    • Ripa J., Lundberg P. Noise colour and the risk of population extinction. Proc. R. Soc. Lond. B 1996, 263:1751-1753.
    • (1996) Proc. R. Soc. Lond. B , vol.263 , pp. 1751-1753
    • Ripa, J.1    Lundberg, P.2
  • 30
    • 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. 2001, 4:30-37.
    • (2001) Ecol. Lett. , vol.4 , pp. 30-37
    • Sherratt, J.A.1
  • 33
    • 64749087718 scopus 로고    scopus 로고
    • The role of noise in a predator-prey model with Allee effect
    • Sun G.Q., Jin Z., Li L., Liu Q.X. The role of noise in a predator-prey model with Allee effect. J. Biol. Phys. 2009, 35:185-196.
    • (2009) J. Biol. Phys. , vol.35 , pp. 185-196
    • Sun, G.Q.1    Jin, Z.2    Li, L.3    Liu, Q.X.4
  • 34
    • 0037351907 scopus 로고    scopus 로고
    • Population dynamics and the color of environmental noise: a study on a three-species food chain system
    • Xu C., Li Z. Population dynamics and the color of environmental noise: a study on a three-species food chain system. Ecol. Res. 2003, 18:145-154.
    • (2003) Ecol. Res. , vol.18 , pp. 145-154
    • Xu, C.1    Li, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.