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Volumn 41, Issue 4, 2009, Pages 1634-1644

Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGY;

EID: 67349111805     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.07.005     Document Type: Article
Times cited : (21)

References (52)
  • 2
    • 0037718520 scopus 로고    scopus 로고
    • Correlated noise in a logistic growth model
    • Ai B., Wang X., Liu G., and Liu L. Correlated noise in a logistic growth model. Phys Rev E 67 (2003) 022903
    • (2003) Phys Rev E , vol.67 , pp. 022903
    • Ai, B.1    Wang, X.2    Liu, G.3    Liu, L.4
  • 3
    • 0036141801 scopus 로고    scopus 로고
    • Mutual interference between predators can give rise to Turing spatial patterns
    • Alonso D., Bartumeus F., and Catalan J. Mutual interference between predators can give rise to Turing spatial patterns. Ecology 83 (2002) 28-34
    • (2002) Ecology , vol.83 , pp. 28-34
    • Alonso, D.1    Bartumeus, F.2    Catalan, J.3
  • 4
    • 0348234288 scopus 로고    scopus 로고
    • Noise perturbation of the thermostat in constant temperature molecular dynamics simulations
    • Andreadis I., and Karakasidis T. Noise perturbation of the thermostat in constant temperature molecular dynamics simulations. Chaos, Solitons & Fractals 20 (2004) 1165-1172
    • (2004) Chaos, Solitons & Fractals , vol.20 , pp. 1165-1172
    • Andreadis, I.1    Karakasidis, T.2
  • 5
    • 0025946035 scopus 로고
    • Functional response and heterogeneities: an experimental test with cladocerans
    • Arditi R., Perrin N., and Saiah H. Functional response and heterogeneities: an experimental test with cladocerans. OIKOS 60 (1991) 69-75
    • (1991) OIKOS , vol.60 , pp. 69-75
    • Arditi, R.1    Perrin, N.2    Saiah, H.3
  • 6
    • 0036936402 scopus 로고    scopus 로고
    • Spatio-temporal patterns in population dynamics
    • Barbera A., and Spagnoloa B. Spatio-temporal patterns in population dynamics. Phys A 314 (2002) 120-124
    • (2002) Phys A , vol.314 , pp. 120-124
    • Barbera, A.1    Spagnoloa, B.2
  • 7
    • 0027075622 scopus 로고
    • The origins and evolution of predator-prey theory
    • Berryman A. The origins and evolution of predator-prey theory. Ecology 75 (1992) 1530-1535
    • (1992) Ecology , vol.75 , pp. 1530-1535
    • Berryman, A.1
  • 8
    • 65549146375 scopus 로고    scopus 로고
    • Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling
    • Buric N., Todorovic K., and Vasovic N. Dynamics of noisy FitzHugh-Nagumo neurons with delayed coupling. Chaos, Solitons & Fractals 40 (2009) 2405-2413
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 2405-2413
    • Buric, N.1    Todorovic, K.2    Vasovic, N.3
  • 10
    • 0017431525 scopus 로고
    • Periodic time-dependent predator-prey system
    • Cushing J. Periodic time-dependent predator-prey system. SIAM J Appl Math 32 (1977) 82-95
    • (1977) SIAM J Appl Math , vol.32 , pp. 82-95
    • Cushing, J.1
  • 11
    • 84855625278 scopus 로고    scopus 로고
    • Ordering chaos by random shortcuts
    • Feng Q., Zhong H., and Hou X. Ordering chaos by random shortcuts. Phys Rev Lett 91 (2003) 064102
    • (2003) Phys Rev Lett , vol.91 , pp. 064102
    • Feng, Q.1    Zhong, H.2    Hou, X.3
  • 12
    • 34547221045 scopus 로고    scopus 로고
    • Spatiotemporal order out of noise
    • Francesc S., José M., and Jordi G. Spatiotemporal order out of noise. Rev Mod Phys 79 (2007) 829
    • (2007) Rev Mod Phys , vol.79 , pp. 829
    • Francesc, S.1    José, M.2    Jordi, G.3
  • 13
    • 24944521082 scopus 로고    scopus 로고
    • Dynamics of modified Leslie-Gower type predator-prey model with seasonally varying parameters
    • Gakkhar S., and Singh B. Dynamics of modified Leslie-Gower type predator-prey model with seasonally varying parameters. Chaos, Solitons & Fractals 27 (2006) 1239-1255
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1239-1255
    • Gakkhar, S.1    Singh, B.2
  • 14
    • 33745190018 scopus 로고    scopus 로고
    • Noise-induced chaos in a quadratically nonlinear oscillator
    • Gan C. Noise-induced chaos in a quadratically nonlinear oscillator. Chaos, Solitons & Fractals 30 (2006) 920-929
    • (2006) Chaos, Solitons & Fractals , vol.30 , pp. 920-929
    • Gan, C.1
  • 15
    • 0035658752 scopus 로고    scopus 로고
    • Functional responses with predator interference: viable alternatives to the Holling-type II model
    • Garrick A., and James F. Functional responses with predator interference: viable alternatives to the Holling-type II model. Ecology 82 (2001) 3083-3092
    • (2001) Ecology , vol.82 , pp. 3083-3092
    • Garrick, A.1    James, F.2
  • 16
    • 33947514402 scopus 로고    scopus 로고
    • Finite-difference schemes for reaction-diffusion equations modelling predator-prey interactions in matlab
    • Garvie M. Finite-difference schemes for reaction-diffusion equations modelling predator-prey interactions in matlab. Bull Math Biol 69 (2007) 931-956
    • (2007) Bull Math Biol , vol.69 , pp. 931-956
    • Garvie, M.1
  • 17
    • 0031957495 scopus 로고    scopus 로고
    • Assuming reproduction to be a function of consumption raises doubts about some popular predator-prey models
    • Ginzburg L. Assuming reproduction to be a function of consumption raises doubts about some popular predator-prey models. J Animal Ecol 67 (1998) 325-327
    • (1998) J Animal Ecol , vol.67 , pp. 325-327
    • Ginzburg, L.1
  • 18
    • 35948995023 scopus 로고    scopus 로고
    • Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games
    • Guan J., Wu Z., and Wang Y. Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games. Phys Rev E 76 (2007) 056101
    • (2007) Phys Rev E , vol.76 , pp. 056101
    • Guan, J.1    Wu, Z.2    Wang, Y.3
  • 19
    • 11544287677 scopus 로고    scopus 로고
    • Noise induced pattern transition and spatiotemporal stochastic resonance
    • Hou Z., Yang L., Zuo X., and Xin H. Noise induced pattern transition and spatiotemporal stochastic resonance. Phys Rev Lett 81 (1998) 2854-2857
    • (1998) Phys Rev Lett , vol.81 , pp. 2854-2857
    • Hou, Z.1    Yang, L.2    Zuo, X.3    Xin, H.4
  • 20
    • 65349139446 scopus 로고    scopus 로고
    • Bifurcations and chaos in three-well Duffing system with one external forcing
    • Huang J., and Jing Z. Bifurcations and chaos in three-well Duffing system with one external forcing. Chaos, Solitons & Fractals 40 (2009) 1449-1466
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 1449-1466
    • Huang, J.1    Jing, Z.2
  • 22
    • 0000607420 scopus 로고    scopus 로고
    • Effects of noise in symmetric two-species competition
    • Jose V., and Ricard V. Effects of noise in symmetric two-species competition. Phys Rev Lett 80 (1998) 4099-4102
    • (1998) Phys Rev Lett , vol.80 , pp. 4099-4102
    • Jose, V.1    Ricard, V.2
  • 23
    • 0342592532 scopus 로고    scopus 로고
    • Cycles, chaos, and noise in predator-prey dynamics
    • Kendall B. Cycles, chaos, and noise in predator-prey dynamics. Chaos, Solitons & Fractals 12 (2001) 321-332
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 321-332
    • Kendall, B.1
  • 24
    • 0030103140 scopus 로고    scopus 로고
    • A predator-prey model with Ivlev's functional response
    • Kooij R. A predator-prey model with Ivlev's functional response. J Math Anal Appl 198 (1996) 473-489
    • (1996) J Math Anal Appl , vol.198 , pp. 473-489
    • Kooij, R.1
  • 25
    • 44949229124 scopus 로고    scopus 로고
    • Resonance and frequency-locking phenomena in a spatially extended phytoplankton-zooplankton system with additive noise and periodic forces
    • Liu Q., Li B., and Jin Z. Resonance and frequency-locking phenomena in a spatially extended phytoplankton-zooplankton system with additive noise and periodic forces. J Stat Mech (2008) P05011
    • (2008) J Stat Mech
    • Liu, Q.1    Li, B.2    Jin, Z.3
  • 27
    • 2942657814 scopus 로고    scopus 로고
    • Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system
    • Malchow H., Hilker F., and Petrovskii S. Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system. Disc Cont Dyn Syst B 4 (2004) 705-711
    • (2004) Disc Cont Dyn Syst B , vol.4 , pp. 705-711
    • Malchow, H.1    Hilker, F.2    Petrovskii, S.3
  • 28
    • 33746830791 scopus 로고    scopus 로고
    • Colored-noise-induced Hopf bifurcations in predator-prey communities
    • Mankin R., Laas T., Sauga A., and Ainsaar A. Colored-noise-induced Hopf bifurcations in predator-prey communities. Phys Rev E 74 (2006) 021101
    • (2006) Phys Rev E , vol.74 , pp. 021101
    • Mankin, R.1    Laas, T.2    Sauga, A.3    Ainsaar, A.4
  • 29
    • 33646351077 scopus 로고    scopus 로고
    • Coherence resonance in a spatial prisoner's dilemma
    • Matjaz P. Coherence resonance in a spatial prisoner's dilemma. New J Phys 8 (2006) 22
    • (2006) New J Phys , vol.8 , pp. 22
    • Matjaz, P.1
  • 31
    • 0006443949 scopus 로고
    • A gentle introduction to structured population models: three worked examples
    • The dynamics of physiological structured populations. Metz J., and Diekmann O. (Eds), Springer, Berlin
    • Metz J., and Diekmann O. A gentle introduction to structured population models: three worked examples. In: Metz J., and Diekmann O. (Eds). The dynamics of physiological structured populations. Lecture notes in biomathematics vol. 68 (1986), Springer, Berlin 3-45
    • (1986) Lecture notes in biomathematics , vol.68 , pp. 3-45
    • Metz, J.1    Diekmann, O.2
  • 32
    • 14244268198 scopus 로고    scopus 로고
    • Mathematical biology. II. Spatial models and biomedical applications
    • Springer, New York
    • Murray J. Mathematical biology. II. Spatial models and biomedical applications. Interdisciplinary applied mathematics. 3rd ed. vol. 18 (2003), Springer, New York
    • (2003) Interdisciplinary applied mathematics. 3rd ed. , vol.18
    • Murray, J.1
  • 33
    • 0242446784 scopus 로고    scopus 로고
    • Mathematical challenges in spatial ecology
    • Neuhauser C. Mathematical challenges in spatial ecology. Noti Am Math Soc 47 (2001) 1304-1314
    • (2001) Noti Am Math Soc , vol.47 , pp. 1304-1314
    • Neuhauser, C.1
  • 35
    • 33746085172 scopus 로고    scopus 로고
    • Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications
    • Pearce I., Chaplain M., Schofield P., Anderson A., and Hubbard S. Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. J Theo Biol 241 (2006) 876-886
    • (2006) J Theo Biol , vol.241 , pp. 876-886
    • Pearce, I.1    Chaplain, M.2    Schofield, P.3    Anderson, A.4    Hubbard, S.5
  • 36
    • 34249776348 scopus 로고    scopus 로고
    • Disease induced dynamics in host-parasitoid systems: chaos and coexistence
    • Preedy K., Schofield P., Chaplain M., and Hubbard S. Disease induced dynamics in host-parasitoid systems: chaos and coexistence. J Roy Soc Int 4 14 (2007) 463-471
    • (2007) J Roy Soc Int , vol.4 , Issue.14 , pp. 463-471
    • Preedy, K.1    Schofield, P.2    Chaplain, M.3    Hubbard, S.4
  • 37
    • 0035847473 scopus 로고    scopus 로고
    • On the influence of noise on the critical and oscillatory behavior of a predator-prey model: coherent stochastic resonance at the proper frequency of the system
    • Rozenfeld A., Tessone C., Albano E., and Wio H. On the influence of noise on the critical and oscillatory behavior of a predator-prey model: coherent stochastic resonance at the proper frequency of the system. Phys Lett A 280 (2001) 45-52
    • (2001) Phys Lett A , vol.280 , pp. 45-52
    • Rozenfeld, A.1    Tessone, C.2    Albano, E.3    Wio, H.4
  • 38
    • 0034839054 scopus 로고    scopus 로고
    • Global analysis in a predator-prey system with nonmonotonic functional response
    • Ruan S., and Xiao D. Global analysis in a predator-prey system with nonmonotonic functional response. SIAM J Appl Math 61 (2001) 1445-1472
    • (2001) SIAM J Appl Math , vol.61 , pp. 1445-1472
    • Ruan, S.1    Xiao, D.2
  • 39
    • 33744906286 scopus 로고    scopus 로고
    • Regular patterns in dichotomically driven activator-inhibitor dynamics
    • Sailer X., Hennig D., Beato V., Engel H., and Schimansky G. Regular patterns in dichotomically driven activator-inhibitor dynamics. Phys Rev E 73 (2006) 05620
    • (2006) Phys Rev E , vol.73 , pp. 05620
    • Sailer, X.1    Hennig, D.2    Beato, V.3    Engel, H.4    Schimansky, G.5
  • 40
    • 0028921952 scopus 로고
    • Ecological chaos in the wake of invasion, Proc
    • Sherratt J., Lewis M., and Fowler A. Ecological chaos in the wake of invasion, Proc. Nat Acad Sci 92 (1995) 2524-2528
    • (1995) Nat Acad Sci , vol.92 , pp. 2524-2528
    • Sherratt, J.1    Lewis, M.2    Fowler, A.3
  • 41
    • 0030814768 scopus 로고    scopus 로고
    • Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?
    • Sherratt J., Eagan B., and Lewis M. Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?. Phil Trans Roy Soc Lond-B 352 (1997) 21-38
    • (1997) Phil Trans Roy Soc Lond-B , vol.352 , pp. 21-38
    • Sherratt, J.1    Eagan, B.2    Lewis, M.3
  • 43
    • 38349080821 scopus 로고    scopus 로고
    • Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing
    • Si F., Liu Q., Zhang J., and Zhou L. 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.1    Liu, Q.2    Zhang, J.3    Zhou, L.4
  • 44
    • 0037112845 scopus 로고    scopus 로고
    • Role of the noise on the transient dynamics of an ecosystem of interacting species
    • Spagnolo B., and Barbera A. Role of the noise on the transient dynamics of an ecosystem of interacting species. Phys A 315 (2002) 114-124
    • (2002) Phys A , vol.315 , pp. 114-124
    • Spagnolo, B.1    Barbera, A.2
  • 45
    • 0035685802 scopus 로고    scopus 로고
    • Spatial and temporal spectra of noise driven stripe patterns
    • Staliunas K. Spatial and temporal spectra of noise driven stripe patterns. Phys Rev E 64 (2001) 066129
    • (2001) Phys Rev E , vol.64 , pp. 066129
    • Staliunas, K.1
  • 46
    • 0001628540 scopus 로고    scopus 로고
    • Two-parameter bifurcation in a predator-prey system of Ivlev-type
    • Sugie J. Two-parameter bifurcation in a predator-prey system of Ivlev-type. J Math Anal Appl 217 (1998) 349-371
    • (1998) J Math Anal Appl , vol.217 , pp. 349-371
    • Sugie, J.1
  • 47
    • 32644486853 scopus 로고    scopus 로고
    • Toward standard parameterization in marine biological modeling
    • Tian R. Toward standard parameterization in marine biological modeling. Ecol Model 193 (2006) 363-386
    • (2006) Ecol Model , vol.193 , pp. 363-386
    • Tian, R.1
  • 48
    • 35648941690 scopus 로고    scopus 로고
    • Turing pattern formation with two kinds of cells and a diffusive chemical
    • Uriu K., and Iwasa Y. Turing pattern formation with two kinds of cells and a diffusive chemical. Bull Math Biol 69 8 (2007) 2515-2536
    • (2007) Bull Math Biol , vol.69 , Issue.8 , pp. 2515-2536
    • Uriu, K.1    Iwasa, Y.2
  • 49
    • 0000607420 scopus 로고    scopus 로고
    • Effects of noise in symmetric two-species competition
    • Vilar J., and Solé R. Effects of noise in symmetric two-species competition. Phys Rev Lett 80 (1998) 4099-4102
    • (1998) Phys Rev Lett , vol.80 , pp. 4099-4102
    • Vilar, J.1    Solé, R.2
  • 50
    • 45849121404 scopus 로고    scopus 로고
    • The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect
    • Wang H., and Wang W. The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect. Chaos, Solitons & Fractals 38 (2008) 1168-1176
    • (2008) Chaos, Solitons & Fractals , vol.38 , pp. 1168-1176
    • Wang, H.1    Wang, W.2
  • 51
    • 67349218151 scopus 로고    scopus 로고
    • Wang W, Zhang L, Wang H, Li Z. Pattern formation of a predator-prey system with Ivlev-type functional response. arXiv:0801.0796.
    • Wang W, Zhang L, Wang H, Li Z. Pattern formation of a predator-prey system with Ivlev-type functional response. arXiv:0801.0796.
  • 52
    • 23344449522 scopus 로고    scopus 로고
    • Noise-sustained and controlled synchronization of stirred excitable media by external forcing
    • Zhou C., and Kurths J. Noise-sustained and controlled synchronization of stirred excitable media by external forcing. New J Phys 7 (2005) 18
    • (2005) New J Phys , vol.7 , pp. 18
    • Zhou, C.1    Kurths, J.2


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