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Volumn 8, Issue 6, 2013, Pages 96-106

Biological invasions in heterogeneous environments: The coupled map lattice framework

Author keywords

Biological invasions; Coupled map lattices; Fragmentation; Heterogeneous habitat

Indexed keywords

BIOLOGICAL INVASION; COUPLED MAP LATTICES; FRAGMENTATION; HETEROGENEOUS ENVIRONMENTS; HETEROGENEOUS HABITAT; POPULATION GROWTH RATES; SPATIAL CONFIGURATION; SPATIAL HETEROGENEITY;

EID: 84889839738     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20138607     Document Type: Article
Times cited : (2)

References (35)
  • 1
    • 16644386250 scopus 로고    scopus 로고
    • Analysis of the periodically fragmented environment model: II - Biological invasions and pulsating travelling fronts
    • DOI 10.1016/j.matpur.2004.10.006, PII S0021782404001345
    • H. Berestycki, F. Hamel, L. Roques. Analysis of the periodically fragmented environment model: II-biological invasions and pulsating travelling fronts. J. Math. Pures Appl. 84 (2005), 1101-1146. (Pubitemid 41051951)
    • (2005) Journal des Mathematiques Pures et Appliquees , vol.84 , Issue.8 , pp. 1101-1146
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 2
    • 70350452947 scopus 로고    scopus 로고
    • Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile
    • T. de-Camino-Beck, M.A. Lewis. Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile. Ecol. Model. 220 (2009), 3394-3403.
    • (2009) Ecol. Model. , vol.220 , pp. 3394-3403
    • De-Camino-Beck, T.1    Lewis, M.A.2
  • 3
    • 61849090729 scopus 로고    scopus 로고
    • Dispersal in heterogeneous habitats: Thresholds, spatial scales, and approximate rates of spread
    • C. Dewhirst, F. Lutscher. Dispersal in heterogeneous habitats: thresholds, spatial scales, and approximate rates of spread. Ecology 90 (2009), 1338-1345.
    • (2009) Ecology , vol.90 , pp. 1338-1345
    • Dewhirst, C.1    Lutscher, F.2
  • 4
    • 0036557552 scopus 로고    scopus 로고
    • Effect of habitat fragmentation on the extinction threshold: A synthesis
    • L. Fahrig. Effect of habitat fragmentation on the extinction threshold: a synthesis. Ecol. Appl. 12 (2002), No. 2, 346-353. (Pubitemid 36516660)
    • (2002) Ecological Applications , vol.12 , Issue.2 , pp. 346-353
    • Fahrig, L.1
  • 5
    • 0026268962 scopus 로고
    • Spatial structure and chaos in insect population dynamics
    • M.P. Hassell, H.N. Comins, R.M. May. Spatial structure and chaos in insect population dynamics. Nature 353 (1991), 255-258. (Pubitemid 21896765)
    • (1991) Nature , vol.353 , Issue.6341 , pp. 255-258
    • Hassell, M.P.1    Comins, H.N.2    May, R.M.3
  • 6
    • 0002244552 scopus 로고
    • Influence of vegetation texture on herbivore populations: Resource concentration and herbivore moviment
    • R. F. Denno and M. S. McClure (eds.) Academic Press, New York
    • P. Kareiva. Influence of Vegetation Texture on Herbivore Populations: Resource Concentration and Herbivore Moviment in R. F. Denno and M. S. McClure (eds.), Variable Plants and Herbivores in Natural and Managed Systems, 259-289. Academic Press, New York, 1983.
    • (1983) Variable Plants and Herbivores in Natural and Managed Systems , pp. 259-289
    • Kareiva, P.1
  • 7
    • 0002062876 scopus 로고
    • Trivial movement and foraging by crop colonizers
    • M. Kogan (ed.) John Wiley & Sons, New York
    • P. Kareiva. Trivial Movement and Foraging by Crop Colonizers in M. Kogan (ed.) Ecological Theory and Integrated Pest Manegement Practice, 59-82. John Wiley & Sons, New York, 1986.
    • (1986) Ecological Theory and Integrated Pest Manegement Practice , pp. 59-82
    • Kareiva, P.1
  • 8
    • 0023504111 scopus 로고
    • Swarms of predators exhibit «preytaxis» if individuals use area-restricted search
    • P. Kareiva, G. Odell. Swarms of predators exhibit «preytaxis» if individuals use area-restricted search. Am. Nat. 130 (1987), No. 2, 233-270.
    • (1987) Am. Nat. , vol.130 , Issue.2 , pp. 233-270
    • Kareiva, P.1    Odell, G.2
  • 9
    • 34248182000 scopus 로고    scopus 로고
    • An integrodifference model for biological invasions in a periodically fragmented environment
    • K. Kawasaki, N. Shigesada. An integrodifference model for biological invasions in a periodically fragmented environment. Japan. J. Indust. Appl. Math. 24 (2007), 3-15.
    • (2007) Japan. J. Indust. Appl. Math. , vol.24 , pp. 3-15
    • Kawasaki, K.1    Shigesada, N.2
  • 10
    • 84861479834 scopus 로고    scopus 로고
    • Impact of directed movement on invasive spread in periodic patchy environments
    • K. Kawasaki, K. Asano, N. Shigesada. Impact of Directed Movement on Invasive Spread in Periodic Patchy Environments. Bull. Math. Biol. 74 (2012), 1448-1467.
    • (2012) Bull. Math. Biol. , vol.74 , pp. 1448-1467
    • Kawasaki, K.1    Asano, K.2    Shigesada, N.3
  • 11
    • 0035117132 scopus 로고    scopus 로고
    • Allee effects, invasion pinning, and species' borders
    • DOI 10.1086/318633
    • T.H. Keitt, M.A. Lewis, R.D. Holt. Allee effects, invasion pinning, and species borders. Am. Nat. 157 (2001), 203-216. (Pubitemid 32164214)
    • (2001) American Naturalist , vol.157 , Issue.2 , pp. 203-216
    • Keitt, T.H.1    Lewis, M.A.2    Holt, R.D.3
  • 12
    • 0346338087 scopus 로고    scopus 로고
    • Modeling biological invasions into periodically fragmented environments
    • DOI 10.1016/S0040-5809(03)00091-1
    • N. Kinezaki, K. Kawasaki, F. Takasu, N. Shigesada. Modeling biological invasions into periodically fragmented environments. Theor. Popul. Biol. 64 (2003), 291-302. (Pubitemid 38042751)
    • (2003) Theoretical Population Biology , vol.64 , Issue.3 , pp. 291-302
    • Kinezaki, N.1    Kawasaki, K.2    Takasu, F.3    Shigesada, N.4
  • 13
    • 34248191611 scopus 로고    scopus 로고
    • Spatial dynamics of invasion in sinusoidally varying environments
    • N. Kinezaki, K. Kawasaki, N. Shigesada. Spatial dynamics of invasion in sinusoidally varying environments. Popul. Ecol. 48 (2006) 263-270.
    • (2006) Popul. Ecol. , vol.48 , pp. 263-270
    • Kinezaki, N.1    Kawasaki, K.2    Shigesada, N.3
  • 14
    • 77958493759 scopus 로고    scopus 로고
    • The effect of the spatial configuration of habitat fragmentation on invasive spread
    • N. Kinezaki, K. Kawasaki, N. Shigesada. The effect of the spatial configuration of habitat fragmentation on invasive spread. Theor. Popul. Biol. 78 (2010), 298-308.
    • (2010) Theor. Popul. Biol. , vol.78 , pp. 298-308
    • Kinezaki, N.1    Kawasaki, K.2    Shigesada, N.3
  • 15
    • 0027101175 scopus 로고
    • The problem of pattern and scale in ecology
    • S. A. Levin. The Problem of Pattern and Scale in Ecology. Ecology 73 (1992), No. 6, 1943-1967. (Pubitemid 23399192)
    • (1992) Ecology , vol.73 , Issue.6 , pp. 1943-1967
    • Levin, S.A.1
  • 16
    • 0242631757 scopus 로고    scopus 로고
    • Biological Invasion of an Organism with Separate Mobile and Stationary States: Modeling and Analysis
    • M. A. Lewis, G. Schmitz. Biological Invasion of an Organism with Separate Mobile and Stationary States: Modeling and Analysis. Forma 11 (1996), 1-25.
    • (1996) Forma , vol.11 , pp. 1-25
    • Lewis, M.A.1    Schmitz, G.2
  • 17
    • 33750710746 scopus 로고    scopus 로고
    • Effects of heterogeneity on spread and persistence in rivers
    • DOI 10.1007/s11538-006-9100-1
    • F. Lutscher, M. A. Lewis, E. McCauley. The effects of heterogeneity on population persistence and invasion in rivers. Bull. Math. Biol. 68 (2006), No. 8, 2129-2160. (Pubitemid 44705862)
    • (2006) Bulletin of Mathematical Biology , vol.68 , Issue.8 , pp. 2129-2160
    • Lutscher, F.1    Lewis, M.A.2    McCauley, E.3
  • 18
    • 77951206903 scopus 로고    scopus 로고
    • Extinction and chaotic patterns in map lattices under hostile conditions
    • V. Méndez, I. Llopis, D. Campos, W. Horsthemke. Extinction and chaotic patterns in map lattices under hostile conditions. Bull. Math. Biol. 72 (2010), 432-443.
    • (2010) Bull. Math. Biol. , vol.72 , pp. 432-443
    • Méndez, V.1    Llopis, I.2    Campos, D.3    Horsthemke, W.4
  • 19
    • 70350366051 scopus 로고    scopus 로고
    • The Role of Spatial Refuges in Coupled Map Lattice Model for Host-Parasitoid Systems
    • D.C. Mistro, L. A. D. Rodrigues, M. C. Varriale. The Role of Spatial Refuges in Coupled Map Lattice Model for Host-Parasitoid Systems. Bull. Math. Biol. 71 (2009), 1934-1953.
    • (2009) Bull. Math. Biol. , vol.71 , pp. 1934-1953
    • Mistro, D.C.1    Rodrigues, L.A.D.2    Varriale, M.C.3
  • 20
    • 84856504736 scopus 로고    scopus 로고
    • Spatiotemporal complexity of biological invasion in a space-and time-discrete predator-prey system with the strong Allee effect
    • D.C. Mistro, L.A.D. Rodrigues, S. Petrovskii. Spatiotemporal complexity of biological invasion in a space-and time-discrete predator-prey system with the strong Allee effect. Ecol. Comp. 9 (2012), 16-32.
    • (2012) Ecol. Comp. , vol.9 , pp. 16-32
    • Mistro, D.C.1    Rodrigues, L.A.D.2    Petrovskii, S.3
  • 21
    • 0026360188 scopus 로고
    • Dependence of epidemic and population velocities on basic parameters
    • DOI 10.1016/0025-5564(91)90009-8
    • D. Mollison. Dependence of epidemic and population velocities on basic parameters. Math. Biosci. 107 (1991), 255-287. (Pubitemid 23396931)
    • (1991) Mathematical Biosciences , vol.107 , Issue.2 , pp. 255-287
    • Mollison, D.1
  • 22
    • 28444465570 scopus 로고    scopus 로고
    • Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect
    • DOI 10.1016/j.jtbi.2005.05.021, PII S0022519305002237
    • A. Morozov, S. Petrovskii, B.-L. Li. Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect. J. theor. Biol. 238 (2006), 18-35. (Pubitemid 41737794)
    • (2006) Journal of Theoretical Biology , vol.238 , Issue.1 , pp. 18-35
    • Morozov, A.1    Petrovskii, S.2    Li, B.-L.3
  • 24
    • 79959574497 scopus 로고    scopus 로고
    • Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space-and time-discrete predator-prey system
    • L. A. D. Rodrigues, D. C. Mistro, S. V. Petrovskii. Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space-and time-discrete predator-prey system. Bull. Math. Biol. 73 (2011), 1812-1840.
    • (2011) Bull. Math. Biol. , vol.73 , pp. 1812-1840
    • Rodrigues, L.A.D.1    Mistro, D.C.2    Petrovskii, S.V.3
  • 25
    • 84856466811 scopus 로고    scopus 로고
    • Pattern formation in a space-and time-discrete predator-prey system with a strong Allee effect
    • L. A. D. Rodrigues, D. C. Mistro, S. V. Petrovskii. Pattern formation in a space-and time-discrete predator-prey system with a strong Allee effect. Theor. Ecol. 5 (2012), 341-362.
    • (2012) Theor. Ecol. , vol.5 , pp. 341-362
    • Rodrigues, L.A.D.1    Mistro, D.C.2    Petrovskii, S.V.3
  • 26
    • 84887166522 scopus 로고    scopus 로고
    • Spatiotemporal dynamics of an insect population in response to chemical substances
    • accepted
    • L. A. D. Rodrigues, M. C. Varriale, W. A. C. Godoy, D. C. Mistro. Spatiotemporal dynamics of an insect population in response to chemical substances. Ecol. Comp. (2013) accepted.
    • (2013) Ecol. Comp.
    • Rodrigues, L.A.D.1    Varriale, M.C.2    Godoy, W.A.C.3    Mistro, D.C.4
  • 27
    • 0346174871 scopus 로고    scopus 로고
    • Invasion and the range expansion of species: Effects of long-distance dispersal
    • Bullock, J., Kenward, R., Hails, R. (Eds.) Dispersal Oxford
    • N. Shigesada, K. Kawasaki. Invasion and the range expansion of species: effects of long-distance dispersal. In: Bullock, J., Kenward, R., Hails, R. (Eds.), Dispersal. Blackwell Science, Oxford, pp. 350-373, 2002.
    • (2002) Blackwell Science , pp. 350-373
    • Shigesada, N.1    Kawasaki, K.2
  • 28
    • 33645087891 scopus 로고
    • Traveling periodic waves in heterogeneous environments
    • N. Shigesada, K. Kawasaki, E. Teramoto. Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol. 30 (1986), 143-160.
    • (1986) Theor. Popul. Biol. , vol.30 , pp. 143-160
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 29
    • 0343024691 scopus 로고
    • The speeds of traveling frontal waves in Heterogeneous environments.
    • Teramoto, E., Yamaguti, M. (Eds.) Mathematical Topics in Population Biology, Morphogenesis and Neurosciences Springer, Berlin
    • N. Shigesada, K. Kawasaki, E. Teramoto. The speeds of traveling frontal waves in Heterogeneous environments. In: Teramoto, E., Yamaguti, M. (Eds.), Mathematical Topics in Population Biology, Morphogenesis and Neurosciences. In: Lecture Notes in Biomathematics, vol. 71. Springer, Berlin, pp. 87-97, 1987.
    • (1987) Lecture Notes in Biomathematics , vol.71 , pp. 87-97
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 31
    • 0031031167 scopus 로고    scopus 로고
    • Integrodifference models for persistence in fragmented habitats
    • R. W. Van Kirk, M. A. Lewis. Integrodifference models for persistence in fragmented habitats. Bull. Math. Biol. 59 (1997), No. 1, 107-137. (Pubitemid 27065392)
    • (1997) Bulletin of Mathematical Biology , vol.59 , Issue.1 , pp. 107-137
    • Van Kirk, R.W.1    Lewis, M.A.2
  • 32
    • 0348143251 scopus 로고    scopus 로고
    • On spreading speeds and traveling waves for growth and migration models in a periodic habitat
    • DOI 10.1007/s00285-002-0169-3
    • H.F. Weinberger. On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol. 45 (2002), 511-548. (Pubitemid 44200145)
    • (2002) Journal of Mathematical Biology , vol.45 , Issue.6 , pp. 511-548
    • Weinberger, H.F.1
  • 33
    • 45049084575 scopus 로고    scopus 로고
    • Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions
    • H.F. Weinberger, K. Kawasaki, N. Shigesada. Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. J. Math. Biol. 57 (2008), 387-411.
    • (2008) J. Math. Biol. , vol.57 , pp. 387-411
    • Weinberger, H.F.1    Kawasaki, K.2    Shigesada, N.3
  • 34
    • 0036794195 scopus 로고    scopus 로고
    • The landscape ecology of invasive spread
    • DOI 10.1046/j.1523-1739.2002.01064.x
    • K. A. With. The landscape ecology of invasive spread. Cons. Biol. 16 (2002), 1192-1203. (Pubitemid 35169626)
    • (2002) Conservation Biology , vol.16 , Issue.5 , pp. 1192-1203
    • With, K.A.1
  • 35
    • 20344392687 scopus 로고    scopus 로고
    • Relating coupled map lattices to integro-difference equations: Dispersal-driven instabilities in coupled map lattices
    • DOI 10.1016/j.jtbi.2005.01.026, PII S0022519305000536
    • S.M. White, K.A.J. White. Relating coupled map lattices to integro-difference equations: dispersal-driven instabilities in coupled map lattices. J. Theor. Biol. 235 (2005), 463-475. (Pubitemid 40780936)
    • (2005) Journal of Theoretical Biology , vol.235 , Issue.4 , pp. 463-475
    • White, S.M.1    White, K.A.J.2


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