메뉴 건너뛰기




Volumn 83, Issue 1-2, 2016, Pages 811-819

Influence of isolation degree of spatial patterns on persistence of populations

Author keywords

Ecosystems collapse; Isolation degree; Pattern formation; Predator prey

Indexed keywords

ECOLOGY; POPULATION STATISTICS; TEXTILE PRINTING;

EID: 84940836005     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-015-2369-6     Document Type: Article
Times cited : (125)

References (45)
  • 2
    • 0026613691 scopus 로고
    • Evolutionary games and spatial chaos
    • Nowak, M.A., May, R.M.: Evolutionary games and spatial chaos. J. Anim. Ecol. 359, 826–829 (1992)
    • (1992) J. Anim. Ecol. , vol.359 , pp. 826-829
    • Nowak, M.A.1    May, R.M.2
  • 3
    • 0015442349 scopus 로고
    • Dissipative structure: an explanation and an ecological example
    • Segel, L., Jackson, J.: Dissipative structure: an explanation and an ecological example. J. Theor. Biol. 37, 545–559 (1972)
    • (1972) J. Theor. Biol. , vol.37 , pp. 545-559
    • Segel, L.1    Jackson, J.2
  • 4
    • 0027047080 scopus 로고
    • The spatial dynamics of host-parasitoid systems
    • Comins, H.N., Hassell, M.P., May, R.M.: The spatial dynamics of host-parasitoid systems. J. Anim. Ecol. 61, 735–748 (1992)
    • (1992) J. Anim. Ecol. , vol.61 , pp. 735-748
    • Comins, H.N.1    Hassell, M.P.2    May, R.M.3
  • 5
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing, A.M.: The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. B 237, 37–72 (1952)
    • (1952) Philos. Trans. R. Soc. Lond. B , vol.237 , pp. 37-72
    • Turing, A.M.1
  • 6
    • 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., Li, B.-L.: Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems. SIAM Rev. 44, 311–370 (2002)
    • (2002) SIAM Rev. , vol.44 , pp. 311-370
    • Medvinsky, A.B.1    Petrovskii, S.V.2    Tikhonova, I.A.3    Malchow, H.4    Li, B.-L.5
  • 7
    • 0039883314 scopus 로고
    • Unstable wavetrains and chaotic wakes in reaction–diffusion systems of lambda-omega type
    • Sherratt, J.A.: Unstable wavetrains and chaotic wakes in reaction–diffusion systems of lambda-omega type. Phys. D 82, 165–179 (1995)
    • (1995) Phys. D , vol.82 , pp. 165-179
    • Sherratt, J.A.1
  • 8
    • 0242540378 scopus 로고    scopus 로고
    • The effects of the size and shape of landscape features on the formation of traveling waves in cyclic populations
    • Sherratt, J.A., Lambin, X., Sherratt, T.N.: The effects of the size and shape of landscape features on the formation of traveling waves in cyclic populations. Am. Nat. 162, 503–513 (2003)
    • (2003) Am. Nat. , vol.162 , pp. 503-513
    • Sherratt, J.A.1    Lambin, X.2    Sherratt, T.N.3
  • 9
    • 53149140283 scopus 로고    scopus 로고
    • Generation of periodic waves by landscape features in cyclic predator–prey systems
    • Sherratt, J.A., Lambin, X., Thomas, C.J., Sherratt, T.N.: Generation of periodic waves by landscape features in cyclic predator–prey systems. Proc. R. Soc. Lond. B 269, 327–334 (2002)
    • (2002) Proc. R. Soc. Lond. B , vol.269 , pp. 327-334
    • Sherratt, J.A.1    Lambin, X.2    Thomas, C.J.3    Sherratt, T.N.4
  • 10
    • 84954271174 scopus 로고    scopus 로고
    • Influences of periodic mechanical deformation on pinned spiral waves
    • Chen, J.-X., Peng, L., Zheng, Q., Zhao, Y.-H., Ying, H.-P.: Influences of periodic mechanical deformation on pinned spiral waves. Chaos 24, 033103 (2014)
    • (2014) Chaos , vol.24 , pp. 033103
    • Chen, J.-X.1    Peng, L.2    Zheng, Q.3    Zhao, Y.-H.4    Ying, H.-P.5
  • 11
    • 84905843006 scopus 로고    scopus 로고
    • Liberation of a pinned spiral wave by a rotating electric pulse
    • Chen, J.-X., Peng, L., Ma, J., Ying, H.-P.: Liberation of a pinned spiral wave by a rotating electric pulse. EPL 107, 38001 (2014)
    • (2014) EPL , vol.107 , pp. 38001
    • Chen, J.-X.1    Peng, L.2    Ma, J.3    Ying, H.-P.4
  • 13
    • 0037406626 scopus 로고    scopus 로고
    • Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems
    • Petrovskii, S., Li, B.L., Malchow, H.: Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems. Bull. Math. Biol. 65, 425–446 (2003)
    • (2003) Bull. Math. Biol. , vol.65 , pp. 425-446
    • Petrovskii, S.1    Li, B.L.2    Malchow, H.3
  • 14
    • 3042846003 scopus 로고    scopus 로고
    • Bifurcations and chaos in a predator–prey system with the Allee effect
    • Morozov, A., Petrovskii, S., Li, B.L.: Bifurcations and chaos in a predator–prey system with the Allee effect. Proc. R. Soc. Lond. B 271, 1407–1414 (2004)
    • (2004) Proc. R. Soc. Lond. B , vol.271 , pp. 1407-1414
    • Morozov, A.1    Petrovskii, S.2    Li, B.L.3
  • 15
    • 0036141801 scopus 로고    scopus 로고
    • Mutual interference between predators can give rise to Turing spatial patterns
    • Alonso, D., Bartumeus, F., Catalan, J.: Mutual interference between predators can give rise to Turing spatial patterns. Ecology 83, 28–34 (2002)
    • (2002) Ecology , vol.83 , pp. 28-34
    • Alonso, D.1    Bartumeus, F.2    Catalan, J.3
  • 16
    • 33847055875 scopus 로고    scopus 로고
    • Instabilities in spatially extended predator-prey systems: spatiotemporal patterns in the neighborhood of Turing–Hopf bifurcations
    • Baurmann, M., Gross, T., Feudel, U.: Instabilities in spatially extended predator-prey systems: spatiotemporal patterns in the neighborhood of Turing–Hopf bifurcations. J. Theor. Biol. 245, 220–229 (2007)
    • (2007) J. Theor. Biol. , vol.245 , pp. 220-229
    • Baurmann, M.1    Gross, T.2    Feudel, U.3
  • 17
    • 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, 931–956 (2007)
    • (2007) Bull. Math. Biol. , vol.69 , pp. 931-956
    • Garvie, M.R.1
  • 18
    • 0031662774 scopus 로고    scopus 로고
    • Circles and spirals: population persistence in a spatially explicit predator–prey model
    • Gurney, W.S.C., Veitch, A.R., Cruickshank, I., Mcgeachin, G.: Circles and spirals: population persistence in a spatially explicit predator–prey model. Ecology 79, 2516–2530 (1998)
    • (1998) Ecology , vol.79 , pp. 2516-2530
    • Gurney, W.S.C.1    Veitch, A.R.2    Cruickshank, I.3    Mcgeachin, G.4
  • 20
    • 17644420032 scopus 로고    scopus 로고
    • Impact of predator pursuit and prey evasion on synchrony and spatial patterns in metapopulation
    • Li, Z.-Z., Gao, M., Hui, C., Han, X.-Z., Shi, H.: Impact of predator pursuit and prey evasion on synchrony and spatial patterns in metapopulation. Ecol. Model. 185, 245–254 (2005)
    • (2005) Ecol. Model. , vol.185 , pp. 245-254
    • Li, Z.-Z.1    Gao, M.2    Hui, C.3    Han, X.-Z.4    Shi, H.5
  • 21
    • 0034697624 scopus 로고    scopus 로고
    • Motional instabilities in predator–prey systems
    • Malchow, H.: Motional instabilities in predator–prey systems. J. Theor. Biol. 204, 639–647 (2000)
    • (2000) J. Theor. Biol. , vol.204 , pp. 639-647
    • Malchow, H.1
  • 22
    • 84891557948 scopus 로고    scopus 로고
    • Simulating electric activities of neurons by using PSPICE
    • Wu, X., Ma, J., Yuan, L., Liu, Y.: Simulating electric activities of neurons by using PSPICE. Nonlinear Dyn. 75, 113–126 (2013)
    • (2013) Nonlinear Dyn. , vol.75 , pp. 113-126
    • Wu, X.1    Ma, J.2    Yuan, L.3    Liu, Y.4
  • 24
    • 84892634738 scopus 로고    scopus 로고
    • Force exerted on the spiral tip by the heterogeneity in an excitable medium
    • Liu, T.-B., Ma, J., Zhao, Q., Tang, J.: Force exerted on the spiral tip by the heterogeneity in an excitable medium. EPL 104, 58005 (2013)
    • (2013) EPL , vol.104 , pp. 58005
    • Liu, T.-B.1    Ma, J.2    Zhao, Q.3    Tang, J.4
  • 25
    • 84902545269 scopus 로고    scopus 로고
    • Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice
    • Ma, J., Wu, X., Chu, R., Zhang, L.: Selection of multi-scroll attractors in Jerk circuits and their verification using Pspice. Nonlinear Dyn. 76, 1951–1962 (2014)
    • (2014) Nonlinear Dyn. , vol.76 , pp. 1951-1962
    • Ma, J.1    Wu, X.2    Chu, R.3    Zhang, L.4
  • 26
    • 78650016107 scopus 로고    scopus 로고
    • Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin–Huxley neurons
    • Ma, J., Wang, C.N., Jin, W.Y., Wu, Y.: Transition from spiral wave to target wave and other coherent structures in the networks of Hodgkin–Huxley neurons. Appl. Math. Comput. 217, 3844–3852 (2010)
    • (2010) Appl. Math. Comput. , vol.217 , pp. 3844-3852
    • Ma, J.1    Wang, C.N.2    Jin, W.Y.3    Wu, Y.4
  • 27
    • 0034173379 scopus 로고    scopus 로고
    • Elimination of spiral waves in cardiac tissue by multiple electrical shocks
    • Panfilov, A.V., Muller, S.C., Zykov, V.S., Keener, J.P.: Elimination of spiral waves in cardiac tissue by multiple electrical shocks. Phys. Rev. E 21, 4644–4647 (2000)
    • (2000) Phys. Rev. E , vol.21 , pp. 4644-4647
    • Panfilov, A.V.1    Muller, S.C.2    Zykov, V.S.3    Keener, J.P.4
  • 28
    • 0036711265 scopus 로고    scopus 로고
    • Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity
    • Fenton, F.H., Cherry, E.M., Hastings, H.M., Evans, S.J.: Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity. Chaos 12, 852 (2002)
    • (2002) Chaos , vol.12 , pp. 852
    • Fenton, F.H.1    Cherry, E.M.2    Hastings, H.M.3    Evans, S.J.4
  • 29
    • 84907835190 scopus 로고    scopus 로고
    • Spatial symmetry breaking determines spiral wave chirality
    • Quail, T., Shrier, A., Glass, L.: Spatial symmetry breaking determines spiral wave chirality. Phys. Rev. Lett. 113, 158101 (2014)
    • (2014) Phys. Rev. Lett. , vol.113 , pp. 158101
    • Quail, T.1    Shrier, A.2    Glass, L.3
  • 30
    • 11544287677 scopus 로고    scopus 로고
    • Noise induced pattern transition and spatiotemporal stochastic resonance
    • Hou, Z., Yang, L., Zuo, X., Xin, H.: Noise induced pattern transition and spatiotemporal stochastic resonance. Phys. Rev. Lett. 81, 2854–2857 (1998)
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2854-2857
    • Hou, Z.1    Yang, L.2    Zuo, X.3    Xin, H.4
  • 32
    • 84918491991 scopus 로고    scopus 로고
    • Pattern selection in growing tubular tissues
    • Ciarletta, P., Balbi, V., Kuhl, E.: Pattern selection in growing tubular tissues. Phys. Rev. Lett. 113, 248101 (2014)
    • (2014) Phys. Rev. Lett. , vol.113 , pp. 248101
    • Ciarletta, P.1    Balbi, V.2    Kuhl, E.3
  • 33
    • 84868356909 scopus 로고    scopus 로고
    • Turing patterns and apparent competition in predator–prey food webs on networks
    • Fernandes, L.D., de Aguiar, M.A.M.: Turing patterns and apparent competition in predator–prey food webs on networks. Phys. Rev. E 86, 056203 (2012)
    • (2012) Phys. Rev. E , vol.86 , pp. 056203
    • Fernandes, L.D.1    de Aguiar, M.A.M.2
  • 34
    • 79959574497 scopus 로고    scopus 로고
    • Pattern formation, long-term transients, and the Turing–Hopf bifurcation in a space-and time-discrete predator–prey system
    • Rodrigues, L.A.D., Mistro, D.C., Petrovskii, S.: Pattern formation, long-term transients, and the Turing–Hopf bifurcation in a space-and time-discrete predator–prey system. Bull. Math. Biol. 73, 1812–1840 (2010)
    • (2010) Bull. Math. Biol. , vol.73 , pp. 1812-1840
    • Rodrigues, L.A.D.1    Mistro, D.C.2    Petrovskii, S.3
  • 35
    • 70349218900 scopus 로고    scopus 로고
    • Predator cannibalism can give rise to regular spatial pattern in a predator–prey system
    • Sun, G.-Q., Zhang, G., Jin, Z., Li, L.: Predator cannibalism can give rise to regular spatial pattern in a predator–prey system. Nonlinear Dyn. 58, 75–84 (2009)
    • (2009) Nonlinear Dyn. , vol.58 , pp. 75-84
    • Sun, G.-Q.1    Zhang, G.2    Jin, Z.3    Li, L.4
  • 36
    • 84866089195 scopus 로고    scopus 로고
    • Spatial patterns of a predator–prey model with cross diffusion
    • Sun, G.-Q., Jin, Z., Li, L., Haque, M., Li, B.-L.: Spatial patterns of a predator–prey model with cross diffusion. Nonlinear Dyn. 69, 1631–1638 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1631-1638
    • Sun, G.-Q.1    Jin, Z.2    Li, L.3    Haque, M.4    Li, B.-L.5
  • 37
    • 54049134367 scopus 로고    scopus 로고
    • Dynamical complexity of a spatial predator–prey model with migration
    • Sun, G.-Q., Jin, Z., Liu, Q.-X., Li, L.: Dynamical complexity of a spatial predator–prey model with migration. Ecol. Model. 219, 248–255 (2009)
    • (2009) Ecol. Model. , vol.219 , pp. 248-255
    • Sun, G.-Q.1    Jin, Z.2    Liu, Q.-X.3    Li, L.4
  • 38
    • 84905453183 scopus 로고    scopus 로고
    • Size-dependent diffusion promotes the emergence of spatiotemporal patterns
    • Zhang, L., Thygesen, U., Banerjee, M.: Size-dependent diffusion promotes the emergence of spatiotemporal patterns. Phys. Rev. E 90, 012904 (2014)
    • (2014) Phys. Rev. E , vol.90 , pp. 012904
    • Zhang, L.1    Thygesen, U.2    Banerjee, M.3
  • 39
  • 41
    • 3242888035 scopus 로고    scopus 로고
    • Stationary patterns for a prey–predator model with prey-dependent and ratio-dependent functional responses and diffusion
    • Wang, M.X.: Stationary patterns for a prey–predator model with prey-dependent and ratio-dependent functional responses and diffusion. Phys. D 196, 172–192 (2004)
    • (2004) Phys. D , vol.196 , pp. 172-192
    • Wang, M.X.1
  • 42
    • 35348966287 scopus 로고    scopus 로고
    • Stationary pattern of a ratio-dependent food chain model with diffusion
    • Peng, R., Shi, J.P., Wang, M.X.: Stationary pattern of a ratio-dependent food chain model with diffusion. SIAM J. Appl. Math. 67, 1479–1503 (2007)
    • (2007) SIAM J. Appl. Math. , vol.67 , pp. 1479-1503
    • Peng, R.1    Shi, J.P.2    Wang, M.X.3
  • 43
    • 46649092955 scopus 로고    scopus 로고
    • The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification
    • Yochelis, A., Tintut, Y., Demer, L.L., Garfinkel, A.: The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification. New J. Phys. 10, 055002 (2008)
    • (2008) New J. Phys. , vol.10 , pp. 055002
    • Yochelis, A.1    Tintut, Y.2    Demer, L.L.3    Garfinkel, A.4
  • 44
    • 40049087110 scopus 로고    scopus 로고
    • The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification
    • Rietkerk, M., van de Koppel, J.: The formation of labyrinths, spots and stripe patterns in a biochemical approach to cardiovascular calcification. Trends Ecol. Evol. 23, 169–175 (2008)
    • (2008) Trends Ecol. Evol. , vol.23 , pp. 169-175
    • Rietkerk, M.1    van de Koppel, J.2
  • 45
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross, M.C., Hohenberg, P.C.: Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851–1112 (1993)
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.