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Volumn 100, Issue 1, 2010, Pages 14-22

Rich dynamics in a predator-prey model with both noise and periodic force

Author keywords

Frequency locking; Pattern formation; Predator prey

Indexed keywords

FUNCTIONAL RESPONSE; MODELING; NOISE; PREDATOR-PREY INTERACTION; SPATIAL ANALYSIS;

EID: 77249116130     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2009.12.003     Document Type: Article
Times cited : (39)

References (51)
  • 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. Theor. Biol. 245 (2007) 220-229
    • (2007) J. Theor. Biol. , vol.245 , pp. 220-229
    • Baurmann, M.1    Gross, T.2    Feudel, U.3
  • 2
    • 0035958646 scopus 로고    scopus 로고
    • Noisy clockwork: time series analysis of population fluctuations in animals
    • Bjornstad O.N., and Grenfell B.T. Noisy clockwork: time series analysis of population fluctuations in animals. Science 293 (2001) 638-643
    • (2001) Science , vol.293 , pp. 638-643
    • Bjornstad, O.N.1    Grenfell, B.T.2
  • 3
    • 0033609387 scopus 로고    scopus 로고
    • Complex dynamics and phase synchronization in spatially extended ecological systems
    • Blasius B., Huppert A., and Stone L. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399 (1999) 354-359
    • (1999) Nature , vol.399 , pp. 354-359
    • Blasius, B.1    Huppert, A.2    Stone, L.3
  • 4
    • 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
  • 5
    • 0038378805 scopus 로고    scopus 로고
    • Interannual variation in phytoplankton blooms and zooplankton productivity and abundance in the gulf of maine during winter
    • Durbin E.G., Campbell R.G., Casas M.C., Ohman M.D., Niehoff B., Runge J., and Wagner M. Interannual variation in phytoplankton blooms and zooplankton productivity and abundance in the gulf of maine during winter. Mar. Ecol. Prog. Ser. 254 (2003) 81-100
    • (2003) Mar. Ecol. Prog. Ser. , vol.254 , pp. 81-100
    • Durbin, E.G.1    Campbell, R.G.2    Casas, M.C.3    Ohman, M.D.4    Niehoff, B.5    Runge, J.6    Wagner, M.7
  • 7
    • 0036350561 scopus 로고    scopus 로고
    • Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish
    • Freund J.A., Schimansky-Geier L., Beisner B., Neiman A., Russell D.F., Yakusheva T., and Moss F. Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish. J. Theor. Biol. 214 (2002) 71-83
    • (2002) J. Theor. Biol. , vol.214 , pp. 71-83
    • Freund, J.A.1    Schimansky-Geier, L.2    Beisner, B.3    Neiman, A.4    Russell, D.F.5    Yakusheva, T.6    Moss, F.7
  • 9
    • 34848888912 scopus 로고    scopus 로고
    • Finite element approximations of spatially extended predator-prey interactions with the Holling type II functional response
    • Garvie M.R., and Trenchea C. Finite element approximations of spatially extended predator-prey interactions with the Holling type II functional response. Numerische Mathematik 107 (2007) 641-667
    • (2007) Numerische Mathematik , vol.107 , pp. 641-667
    • Garvie, M.R.1    Trenchea, C.2
  • 10
    • 33947514402 scopus 로고    scopus 로고
    • Finite-difference schemes for reaction"Cdiffusion equations modeling predator-prey interactions in matlab
    • Garvie M.R. Finite-difference schemes for reaction"Cdiffusion 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
    • 0033515831 scopus 로고    scopus 로고
    • Simple lessons from complexity
    • Goldenfeld N., and Kadano L.P. Simple lessons from complexity. Science 284 (1999) 87-89
    • (1999) Science , vol.284 , pp. 87-89
    • Goldenfeld, N.1    Kadano, L.P.2
  • 13
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • Higham D.J. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 43 (2001) 525-546
    • (2001) SIAM Rev. , vol.43 , pp. 525-546
    • Higham, D.J.1
  • 14
    • 0027041491 scopus 로고
    • Variation in herbivore response to chemical defenses: zooplankton foraging on toxic cyanobacteria
    • Kirk K.L., and Gilbert J.J. Variation in herbivore response to chemical defenses: zooplankton foraging on toxic cyanobacteria. Ecology 73 (1992) 2208-2217
    • (1992) Ecology , vol.73 , pp. 2208-2217
    • Kirk, K.L.1    Gilbert, J.J.2
  • 15
    • 44949229124 scopus 로고    scopus 로고
    • Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces
    • Liu Q.-X., Jin Z., and Li B.-L. Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces. J. Stat. Mech. (2008) 05011
    • (2008) J. Stat. Mech. , pp. 05011
    • Liu, Q.-X.1    Jin, Z.2    Li, B.-L.3
  • 16
    • 0034697624 scopus 로고    scopus 로고
    • Motional instabilities in predator-prey systems
    • Malchow H. Motional instabilities in predator-prey systems. J. Theor. Biol. 204 (2000) 639-647
    • (2000) J. Theor. Biol. , vol.204 , pp. 639-647
    • Malchow, H.1
  • 17
    • 41349105879 scopus 로고    scopus 로고
    • Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems
    • Mankin R., Ainsaar A., Haljas A., and Reiter E. Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems. Phys. Rev. E 65 (2002) 051108
    • (2002) Phys. Rev. E , vol.65 , pp. 051108
    • Mankin, R.1    Ainsaar, A.2    Haljas, A.3    Reiter, E.4
  • 18
    • 37649029946 scopus 로고    scopus 로고
    • Colored-noise-induced discontinuous transitions in symbiotic ecosystems
    • Mankin R., Sauga A., Ainsaar A., Haljas A., and Paunel K. Colored-noise-induced discontinuous transitions in symbiotic ecosystems. Phys. Rev. E 69 (2004) 061106
    • (2004) Phys. Rev. E , vol.69 , pp. 061106
    • Mankin, R.1    Sauga, A.2    Ainsaar, A.3    Haljas, A.4    Paunel, K.5
  • 19
    • 0001328967 scopus 로고
    • Stochastic resonance in a tunnel diode
    • Mantegna R.N., and Spagnolo B. Stochastic resonance in a tunnel diode. Phys. Rev. E 49 (1994) R1792-R1795
    • (1994) Phys. Rev. E , vol.49
    • Mantegna, R.N.1    Spagnolo, B.2
  • 20
    • 0001141743 scopus 로고    scopus 로고
    • Noise enhanced stability in an unstable system
    • Mantegna R.N., and Spagnolo B. Noise enhanced stability in an unstable system. Phys. Rev. Lett. 76 (1996) 563-566
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 563-566
    • Mantegna, R.N.1    Spagnolo, B.2
  • 22
    • 0036733930 scopus 로고    scopus 로고
    • Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems
    • Medvinsky A.B., Petrovskii S.V., Tikhonova I.A., Malchow H., and Li B.-L. Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems. SIAM Rev. 44 3 (2002) 311-370
    • (2002) SIAM Rev. , vol.44 , Issue.3 , pp. 311-370
    • Medvinsky, A.B.1    Petrovskii, S.V.2    Tikhonova, I.A.3    Malchow, H.4    Li, B.-L.5
  • 23
    • 64449084527 scopus 로고    scopus 로고
    • Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
    • Morozov A.Y., and Petrovskii S.V. Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bull. Math. Biol. 71 (2009) 863-887
    • (2009) Bull. Math. Biol. , vol.71 , pp. 863-887
    • Morozov, A.Y.1    Petrovskii, S.V.2
  • 24
    • 0000518462 scopus 로고    scopus 로고
    • Scenarios of domain pattern formation in a reaction-diffusion system
    • Muratov C.B., and Osipov V.V. Scenarios of domain pattern formation in a reaction-diffusion system. Phys. Rev. E 54 (1996) 4860-4879
    • (1996) Phys. Rev. E , vol.54 , pp. 4860-4879
    • Muratov, C.B.1    Osipov, V.V.2
  • 25
    • 0000203591 scopus 로고    scopus 로고
    • Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor
    • Muratov C.B. Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor. Phys. Rev. E 4 (1996) 3369-3376
    • (1996) Phys. Rev. E , vol.4 , pp. 3369-3376
    • Muratov, C.B.1
  • 27
    • 12944314880 scopus 로고    scopus 로고
    • Transition to spatiotemporal chaos can resolve the paradox of enrichment
    • Petrovskii S., Li B.L., and Malchow H. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complex. 1 (2004) 37-47
    • (2004) Ecol. Complex. , vol.1 , pp. 37-47
    • Petrovskii, S.1    Li, B.L.2    Malchow, H.3
  • 28
    • 16344366772 scopus 로고    scopus 로고
    • Regimes of biological invasion in a predator-prey system with the Allee effect
    • Petrovskii S., Morozov A., and Li B.L. Regimes of biological invasion in a predator-prey system with the Allee effect. Bull. Math. Biol. 67 (2005) 637-661
    • (2005) Bull. Math. Biol. , vol.67 , pp. 637-661
    • Petrovskii, S.1    Morozov, A.2    Li, B.L.3
  • 30
    • 67349111805 scopus 로고    scopus 로고
    • Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing. Chaos
    • Rao F., Wang W., and Li Z. Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing. Chaos. Solitons and Fractals 41 (2009) 1634-1644
    • (2009) Solitons and Fractals , vol.41 , pp. 1634-1644
    • Rao, F.1    Wang, W.2    Li, Z.3
  • 31
    • 36849066945 scopus 로고    scopus 로고
    • Noise and correlations in a spatial population model with cyclic competition
    • Reichenbach T., Mobilia M., and Frey E. Noise and correlations in a spatial population model with cyclic competition. Phys. Rev. Lett. 99 (2007) 238105
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 238105
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 32
    • 34548305141 scopus 로고    scopus 로고
    • Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
    • Reichenbach T., Mobilia M., and Frey E. Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games. Nature 448 (2007) 1046-1049
    • (2007) Nature , vol.448 , pp. 1046-1049
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 33
    • 44949114942 scopus 로고    scopus 로고
    • Self-organization of mobile populations in cyclic competition
    • Preprint
    • Reichenbach, T., Mobilia, M., Frey, E., 2008. Self-organization of mobile populations in cyclic competition. Preprint.
    • (2008)
    • Reichenbach, T.1    Mobilia, M.2    Frey, E.3
  • 34
    • 60249100324 scopus 로고    scopus 로고
    • Spatio-temporal patterns of gene flow and dispersal under temperature increase
    • Richter O. Spatio-temporal patterns of gene flow and dispersal under temperature increase. Math. Biosci. 218 (2009) 15-23
    • (2009) Math. Biosci. , vol.218 , pp. 15-23
    • Richter, O.1
  • 36
    • 85194563561 scopus 로고    scopus 로고
    • See the special section on Ecology Through Time, 2001. Science 293, 623.
    • See the special section on "Ecology Through Time", 2001. Science 293, 623.
  • 37
    • 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?. Philos. Trans. R. Soc. Lond. B 352 (1997) 21-38
    • (1997) Philos. Trans. R. Soc. Lond. B , vol.352 , pp. 21-38
    • Sherratt, J.A.1    Eagan, B.T.2    Lewis, M.A.3
  • 38
    • 38349080821 scopus 로고    scopus 로고
    • Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing
    • Si F.N., Liu Q.X., Zhang J.Z., and Zhou L.Q. Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing. Eur. Phys. J. B 60 (2007) 507-513
    • (2007) Eur. Phys. J. B , vol.60 , pp. 507-513
    • Si, F.N.1    Liu, Q.X.2    Zhang, J.Z.3    Zhou, L.Q.4
  • 41
    • 0035516421 scopus 로고    scopus 로고
    • Spatial and temporal noise spectra of spatially extended systems with order-disorder phase transitions
    • Staliunas K. Spatial and temporal noise spectra of spatially extended systems with order-disorder phase transitions. Int. J. Bifurcat. Chaos 11 (2001) 2845-2852
    • (2001) Int. J. Bifurcat. Chaos , vol.11 , pp. 2845-2852
    • Staliunas, K.1
  • 42
    • 38049009460 scopus 로고    scopus 로고
    • Pattern formation in a spatial s-i model with non-linear incidence rates
    • Sun G., Jin Z., Liu Q.-X., and Li L. Pattern formation in a spatial s-i model with non-linear incidence rates. J. Stat. Mech. 11 (2007) 11011
    • (2007) J. Stat. Mech. , vol.11 , pp. 11011
    • Sun, G.1    Jin, Z.2    Liu, Q.-X.3    Li, L.4
  • 43
    • 54049134367 scopus 로고    scopus 로고
    • Dynamical complexity of a spatial predator-prey model with migration
    • Sun G.-Q., Jin Z., Liu Q.-X., and Li L. 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    Jin, Z.2    Liu, Q.-X.3    Li, L.4
  • 44
    • 51349145145 scopus 로고    scopus 로고
    • Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate
    • Sun G.-Q., Jin Z., Liu Q.-X., and Li L. Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate. J. Stat. Mech. 08 (2008) 08011
    • (2008) J. Stat. Mech. , vol.8 , pp. 08011
    • Sun, G.-Q.1    Jin, Z.2    Liu, Q.-X.3    Li, L.4
  • 45
    • 64749094725 scopus 로고    scopus 로고
    • Spatial pattern in a predator-prey system with both self- and cross-diffusion
    • Sun G.-Q., Jin Z., Zhao Y.G., Liu Q.-X., and Li L. Spatial pattern in a predator-prey system with both self- and cross-diffusion. Int. J. Mod. Phys. C 20 (2009) 71-84
    • (2009) Int. J. Mod. Phys. C , vol.20 , pp. 71-84
    • Sun, G.-Q.1    Jin, Z.2    Zhao, Y.G.3    Liu, Q.-X.4    Li, L.5
  • 46
    • 0242607004 scopus 로고    scopus 로고
    • Stochastic resonance and noise delayed extinction in a model of two competing species
    • Valenti D., Fiasconaro A., and Spagnolo B. Stochastic resonance and noise delayed extinction in a model of two competing species. Physica A 331 (2004) 477-486
    • (2004) Physica A , vol.331 , pp. 477-486
    • Valenti, D.1    Fiasconaro, A.2    Spagnolo, B.3
  • 47
    • 0000607420 scopus 로고    scopus 로고
    • Effects of noise in symmetric two-species competition
    • Vilar J.M.G., and Solé R.V. Effects of noise in symmetric two-species competition. Phys. Rev. Lett. 80 (1998) 4099
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4099
    • Vilar, J.M.G.1    Solé, R.V.2
  • 48
    • 13944265092 scopus 로고    scopus 로고
    • Coexistence of cycling and dispersing consumer species: Armstrong and Mcgehee in space
    • Wilson W., and Abrams P. Coexistence of cycling and dispersing consumer species: Armstrong and Mcgehee in space. Am. Nat. 165 2 (2005) 193-205
    • (2005) Am. Nat. , vol.165 , Issue.2 , pp. 193-205
    • Wilson, W.1    Abrams, P.2
  • 49
    • 0031889278 scopus 로고    scopus 로고
    • Resolving discrepancies between population models and individual-based simulations
    • Wilson W.G. Resolving discrepancies between population models and individual-based simulations. Am. Nat. 151 (1998) 116-134
    • (1998) Am. Nat. , vol.151 , pp. 116-134
    • Wilson, W.G.1
  • 50
    • 67349271650 scopus 로고    scopus 로고
    • Spatiotemporal complexity of a predator-prey system with constant harvest rate.
    • Zhang L., Wang W., and Xue Y. Spatiotemporal complexity of a predator-prey system with constant harvest rate. Chaos Solitions Fract. 41 (2009) 38-46
    • (2009) Chaos Solitions Fract. , vol.41 , pp. 38-46
    • Zhang, L.1    Wang, W.2    Xue, Y.3
  • 51
    • 0001884203 scopus 로고    scopus 로고
    • Complex systems: life after chaos
    • Zimmer C. Complex systems: life after chaos. Science 284 (1999) 83-86
    • (1999) Science , vol.284 , pp. 83-86
    • Zimmer, C.1


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