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Volumn 74, Issue 6, 2012, Pages 1448-1467

Impact of Directed Movement on Invasive Spread in Periodic Patchy Environments

Author keywords

Advection diffusion reaction; Biological invasion; Directed movement; Fragmented environment; Traveling periodic wave

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; ECOSYSTEM; MATHEMATICAL COMPUTING; POPULATION DYNAMICS;

EID: 84861479834     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-011-9714-9     Document Type: Article
Times cited : (16)

References (50)
  • 1
    • 0034920909 scopus 로고    scopus 로고
    • Directed movement of predators and the emergence of density-dependence in predator-prey models
    • Arditi, R., Tyutyunov, Y., Morgulis, A., Govorukhin, V., & Senina, I. (2001). Directed movement of predators and the emergence of density-dependence in predator-prey models. Theor. Popul. Biol., 59, 207-221.
    • (2001) Theor. Popul. Biol. , vol.59 , pp. 207-221
    • Arditi, R.1    Tyutyunov, Y.2    Morgulis, A.3    Govorukhin, V.4    Senina, I.5
  • 2
    • 0035820664 scopus 로고    scopus 로고
    • Directed motion in the sea: efficient swimming by reef fish larvae
    • Armsworth, P. R. (2001). Directed motion in the sea: efficient swimming by reef fish larvae. J. Theor. Biol., 210, 81-91.
    • (2001) J. Theor. Biol. , vol.210 , pp. 81-91
    • Armsworth, P.R.1
  • 3
    • 12944266460 scopus 로고    scopus 로고
    • The consequences of non-passive advection and directed motion for population dynamics
    • Armsworth, P. R., & Bode, L. (1999). The consequences of non-passive advection and directed motion for population dynamics. Proc. R. Soc. Lond. A, 455, 4045-4060.
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 4045-4060
    • Armsworth, P.R.1    Bode, L.2
  • 4
    • 17044421702 scopus 로고    scopus 로고
    • The impact of directed versus random movement on population dynamics and biodiversity patterns
    • Armsworth, P. R., & Roughgarden, J. E. (2005). The impact of directed versus random movement on population dynamics and biodiversity patterns. Am. Nat., 165, 449-465.
    • (2005) Am. Nat. , vol.165 , pp. 449-465
    • Armsworth, P.R.1    Roughgarden, J.E.2
  • 5
    • 0023527526 scopus 로고
    • Parameter estimation techniques for interaction and redistribution models: a predator-prey example
    • Banks, H. T., Kareiva, P. M., & Murphy, K. A. (1987). Parameter estimation techniques for interaction and redistribution models: a predator-prey example. Oecologia, 74, 356-362.
    • (1987) Oecologia , vol.74 , pp. 356-362
    • Banks, H.T.1    Kareiva, P.M.2    Murphy, K.A.3
  • 6
    • 0001016744 scopus 로고
    • The effects of dispersal along environmental gradients on the dynamics of populations in heterogeneous environments
    • Belgacem, F., & Cosner, C. (1995). The effects of dispersal along environmental gradients on the dynamics of populations in heterogeneous environments. Can. Appl. Math. Q., 3, 379-397.
    • (1995) Can. Appl. Math. Q. , vol.3 , pp. 379-397
    • Belgacem, F.1    Cosner, C.2
  • 7
    • 22244440170 scopus 로고    scopus 로고
    • Analysis of the periodically fragmented environment model: I-Species persistence
    • Berestycki, H., Hamel, F., & Roques, L. (2005a). Analysis of the periodically fragmented environment model: I-Species persistence. J. Math. Biol., 51, 75-113.
    • (2005) J. Math. Biol. , vol.51 , pp. 75-113
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 8
    • 16644386250 scopus 로고    scopus 로고
    • Analysis of the periodically fragmented environment model: II-biological invasions and pulsating travelling fronts
    • Berestycki, H., Hamel, F., & Roques, L. (2005b). Analysis of the periodically fragmented environment model: II-biological invasions and pulsating travelling fronts. J. Math. Pures Appl., 84, 1101-1146.
    • (2005) J. Math. Pures Appl. , vol.84 , pp. 1101-1146
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 9
    • 16644384785 scopus 로고    scopus 로고
    • The speed of propagation for KPP type problems. I: Periodic framework
    • Berestycki, H., Hamel, F., & Nadirashvili, N. (2005c). The speed of propagation for KPP type problems. I: Periodic framework. J. Eur. Math. Soc., 7, 173-213.
    • (2005) J. Eur. Math. Soc. , vol.7 , pp. 173-213
    • Berestycki, H.1    Hamel, F.2    Nadirashvili, N.3
  • 10
    • 77749289459 scopus 로고    scopus 로고
    • The speed of propagation for KPP type problems. II: General domains
    • Berestycki, H., Hamel, F., & Nadirashvili, N. (2010). The speed of propagation for KPP type problems. II: General domains. J. Am. Math. Soc., 23, 1-34.
    • (2010) J. Am. Math. Soc. , vol.23 , pp. 1-34
    • Berestycki, H.1    Hamel, F.2    Nadirashvili, N.3
  • 11
    • 33750697273 scopus 로고    scopus 로고
    • Movement toward better environments and the evolution of rapid diffusion
    • Cantrell, R. S., Cosner, C., & Lou, Y. (2006). Movement toward better environments and the evolution of rapid diffusion. Math. Biosci., 204, 199-214.
    • (2006) Math. Biosci. , vol.204 , pp. 199-214
    • Cantrell, R.S.1    Cosner, C.2    Lou, Y.3
  • 12
    • 34547354459 scopus 로고    scopus 로고
    • Advection-mediated coexistence of competing species
    • Cantrell, R. S., Cosner, C., & Lou, Y. (2007). Advection-mediated coexistence of competing species. Proc. R. Soc. Edinb., 137A, 497-518.
    • (2007) Proc. R. Soc. Edinb. , vol.137 A , pp. 497-518
    • Cantrell, R.S.1    Cosner, C.2    Lou, Y.3
  • 14
    • 0037439482 scopus 로고    scopus 로고
    • Does movement toward better environments always benefit a population?
    • Cosner, C., & Lou, Y. (2003). Does movement toward better environments always benefit a population? J. Math. Anal. Appl., 277, 489-503.
    • (2003) J. Math. Anal. Appl. , vol.277 , pp. 489-503
    • Cosner, C.1    Lou, Y.2
  • 15
    • 61849090729 scopus 로고    scopus 로고
    • Dispersal in heterogeneous habitats: thresholds, spatial scales, and approximate rates of spread
    • Dewhirst, S., & Lutscher, F. (2009). Dispersal in heterogeneous habitats: thresholds, spatial scales, and approximate rates of spread. Ecology, 90, 1338-1345.
    • (2009) Ecology , vol.90 , pp. 1338-1345
    • Dewhirst, S.1    Lutscher, F.2
  • 16
    • 61849167461 scopus 로고    scopus 로고
    • Interspecific variation in critical patch size and gap-crossing ability as determinants of geographic range size distributions
    • Fagan, W. F., Cantrell, R. S., Cosner, C., & Ramakrishnan, S. (2009). Interspecific variation in critical patch size and gap-crossing ability as determinants of geographic range size distributions. Am. Nat., 173, 363-375.
    • (2009) Am. Nat. , vol.173 , pp. 363-375
    • Fagan, W.F.1    Cantrell, R.S.2    Cosner, C.3    Ramakrishnan, S.4
  • 17
    • 0016753474 scopus 로고
    • The regulation of inhomogeneous populations
    • Gurney, W. S. C., & Nisbet, R. M. (1975). The regulation of inhomogeneous populations. J. Theor. Biol., 52, 441-457.
    • (1975) J. Theor. Biol. , vol.52 , pp. 441-457
    • Gurney, W.S.C.1    Nisbet, R.M.2
  • 19
    • 13444273614 scopus 로고    scopus 로고
    • Theoretical models of species' borders: single species approaches
    • Holt, R. D., Keitt, T. H., Lewis, M. A., Maurer, B. A., & Taper, M. L. (2005). Theoretical models of species' borders: single species approaches. Oikos, 108, 18-27.
    • (2005) Oikos , vol.108 , pp. 18-27
    • Holt, R.D.1    Keitt, T.H.2    Lewis, M.A.3    Maurer, B.A.4    Taper, M.L.5
  • 20
    • 34248182000 scopus 로고    scopus 로고
    • An integrodifference model for biological invasions in a periodically fragmented environment
    • Kawasaki, K., & Shigesada, N. (2007). An integrodifference model for biological invasions in a periodically fragmented environment. Jpn. J. Ind. Appl. Math., 24, 3-15.
    • (2007) Jpn. J. Ind. Appl. Math. , vol.24 , pp. 3-15
    • Kawasaki, K.1    Shigesada, N.2
  • 21
    • 33746434353 scopus 로고    scopus 로고
    • How does stochasticity in colonization accelerate the speed of invasion in a cellular automaton model?
    • Kawasaki, K., Takasu, F., Caswell, H., & Shigesada, N. (2006). How does stochasticity in colonization accelerate the speed of invasion in a cellular automaton model? Ecol. Res., 21, 334-345.
    • (2006) Ecol. Res. , vol.21 , pp. 334-345
    • Kawasaki, K.1    Takasu, F.2    Caswell, H.3    Shigesada, N.4
  • 22
    • 0035117132 scopus 로고    scopus 로고
    • Allee effects, invasion pinning, and species' borders
    • Keitt, T. H., Lewis, M. A., & Holt, R. D. (2001). Allee effects, invasion pinning, and species' borders. Am. Nat., 157, 203-216.
    • (2001) Am. Nat. , vol.157 , pp. 203-216
    • Keitt, T.H.1    Lewis, M.A.2    Holt, R.D.3
  • 23
    • 0346338087 scopus 로고    scopus 로고
    • Modeling biological invasions into periodically fragmented environments
    • Kinezaki, N., Kawasaki, K., Takasu, F., & Shigesada, N. (2003). Modeling biological invasions into periodically fragmented environments. Theor. Popul. Biol., 64, 291-302.
    • (2003) Theor. Popul. Biol. , vol.64 , pp. 291-302
    • Kinezaki, N.1    Kawasaki, K.2    Takasu, F.3    Shigesada, N.4
  • 24
    • 34248191611 scopus 로고    scopus 로고
    • Spatial dynamics of invasion in sinusoidally varying environments
    • Kinezaki, N., Kawasaki, K., & Shigesada, N. (2006). Spatial dynamics of invasion in sinusoidally varying environments. Popul. Ecol., 48, 263-270.
    • (2006) Popul. Ecol. , vol.48 , pp. 263-270
    • Kinezaki, N.1    Kawasaki, K.2    Shigesada, N.3
  • 25
    • 77958493759 scopus 로고    scopus 로고
    • The effect of the spatial configuration of habitat fragmentation on invasive spread
    • Kinezaki, N., Kawasaki, K., & Shigesada, N. (2010). The effect of the spatial configuration of habitat fragmentation on invasive spread. Theor. Popul. Biol., 78, 298-308.
    • (2010) Theor. Popul. Biol. , vol.78 , pp. 298-308
    • Kinezaki, N.1    Kawasaki, K.2    Shigesada, N.3
  • 26
    • 0027524391 scopus 로고
    • Allee dynamics and the spread of invading organisms
    • Lewis, M. A., & Kareiva, P. (1993). Allee dynamics and the spread of invading organisms. Theor. Popul. Biol., 43, 141-158.
    • (1993) Theor. Popul. Biol. , vol.43 , pp. 141-158
    • Lewis, M.A.1    Kareiva, P.2
  • 27
    • 38349007073 scopus 로고    scopus 로고
    • Density-dependent dispersal in integrodifference equations
    • Lutscher, F. (2008). Density-dependent dispersal in integrodifference equations. J. Math. Biol., 56, 499-524.
    • (2008) J. Math. Biol. , vol.56 , pp. 499-524
    • Lutscher, F.1
  • 28
    • 33750710746 scopus 로고    scopus 로고
    • Effects of heterogeneity on spread and persistence in rivers
    • Lutscher, F., Lewis, M. A., & McCauley, E. (2006). Effects of heterogeneity on spread and persistence in rivers. Bull. Math. Biol., 68, 2129-2160.
    • (2006) Bull. Math. Biol. , vol.68 , pp. 2129-2160
    • Lutscher, F.1    Lewis, M.A.2    McCauley, E.3
  • 29
    • 0034697624 scopus 로고    scopus 로고
    • Motional instabilities in prey-predator systems
    • Malchow, H. (2000). Motional instabilities in prey-predator systems. J. Theor. Biol., 204, 639-647.
    • (2000) J. Theor. Biol. , vol.204 , pp. 639-647
    • Malchow, H.1
  • 31
    • 77950794741 scopus 로고    scopus 로고
    • The effect of the Schwarz rearrangement on the periodic principal eigenvalue of a nonsymmetric operator
    • Nadin, G. (2009). The effect of the Schwarz rearrangement on the periodic principal eigenvalue of a nonsymmetric operator. SIAM J. Math. Anal., 41, 2388-2406.
    • (2009) SIAM J. Math. Anal. , vol.41 , pp. 2388-2406
    • Nadin, G.1
  • 33
    • 51249193541 scopus 로고
    • Random walk with persistence and external bias
    • Patlack, C. S. (1953). Random walk with persistence and external bias. Bull. Math. Biophys., 15, 311-338.
    • (1953) Bull. Math. Biophys. , vol.15 , pp. 311-338
    • Patlack, C.S.1
  • 35
    • 0142053105 scopus 로고    scopus 로고
    • An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect
    • Petrovskii, S., & Li, B. L. (2003). An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect. Math. Biosci., 186, 79-91.
    • (2003) Math. Biosci. , vol.186 , pp. 79-91
    • Petrovskii, S.1    Li, B.L.2
  • 36
    • 35248856029 scopus 로고    scopus 로고
    • Mathematical analysis of the optimal habitat configurations for species persistence
    • Roques, L., & Hamel, F. (2007). Mathematical analysis of the optimal habitat configurations for species persistence. Math. Biosci., 210, 34-59.
    • (2007) Math. Biosci. , vol.210 , pp. 34-59
    • Roques, L.1    Hamel, F.2
  • 37
    • 34547331298 scopus 로고    scopus 로고
    • Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments
    • Roques, L., & Stoica, R. S. (2007). Species persistence decreases with habitat fragmentation: an analysis in periodic stochastic environments. J. Math. Biol., 55, 189-205.
    • (2007) J. Math. Biol. , vol.55 , pp. 189-205
    • Roques, L.1    Stoica, R.S.2
  • 38
    • 64549140665 scopus 로고    scopus 로고
    • The limitation of species range: a consequence of searching along resource gradients
    • Rowell, J. T. (2009). The limitation of species range: a consequence of searching along resource gradients. Theor. Popul. Biol., 75, 216-227.
    • (2009) Theor. Popul. Biol. , vol.75 , pp. 216-227
    • Rowell, J.T.1
  • 39
    • 0018833318 scopus 로고
    • Spatial distribution of dispersing animals
    • Shigesada, N. (1980). Spatial distribution of dispersing animals. J. Math. Biol., 9, 85-96.
    • (1980) J. Math. Biol. , vol.9 , pp. 85-96
    • Shigesada, N.1
  • 40
    • 0002786781 scopus 로고
    • Spatial distribution of rapidly dispersing animals in heterogeneous environments
    • Shigesada, N. (1984). Spatial distribution of rapidly dispersing animals in heterogeneous environments. Lect. Notes Biomath., 54, 478-491.
    • (1984) Lect. Notes Biomath. , vol.54 , pp. 478-491
    • Shigesada, N.1
  • 42
    • 0346174871 scopus 로고    scopus 로고
    • Invasion and the range expansion of species: effects of long-distance dispersal
    • J. Bullock, R. Kenward, and R. Hails (Eds.), Oxford: Blackwell Sci
    • Shigesada, N., & Kawasaki, K. (2002). Invasion and the range expansion of species: effects of long-distance dispersal. In J. Bullock, R. Kenward & R. Hails (Eds.), Dispersal ecology. The 42 symposium of the British ecological society (pp. 350-373). Oxford: Blackwell Sci.
    • (2002) Dispersal Ecology. The 42 Symposium of the British Ecological Society , pp. 350-373
    • Shigesada, N.1    Kawasaki, K.2
  • 43
    • 0006478083 scopus 로고
    • The role of rapid dispersal in the population dynamics of competition
    • Shigesada, N., & Roughgarden, J. (1982). The role of rapid dispersal in the population dynamics of competition. Theor. Popul. Biol., 21, 353-372.
    • (1982) Theor. Popul. Biol. , vol.21 , pp. 353-372
    • Shigesada, N.1    Roughgarden, J.2
  • 45
    • 33645087891 scopus 로고
    • Traveling periodic waves in heterogeneous environments
    • Shigesada, N., Kawasaki, K., & Teramoto, E. (1986). Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol., 30, 143-160.
    • (1986) Theor. Popul. Biol. , vol.30 , pp. 143-160
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 46
    • 0343024691 scopus 로고
    • The speeds of traveling frontal waves in Heterogeneous environments
    • E. Teramoto and M. Yamaguti (Eds.), Berlin: Springer
    • Shigesada, N., Kawasaki, K., & Teramoto, E. (1987). The speeds of traveling frontal waves in Heterogeneous environments. In E. Teramoto & M. Yamaguti (Eds.), Lecture notes in biomathematics (Vol. 71, pp. 87-97). Berlin: Springer.
    • (1987) Lecture Notes in Biomathematics , vol.71 , pp. 87-97
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 47
  • 48
    • 0031031167 scopus 로고    scopus 로고
    • Integrodifference models for persistence in fragmented habitats
    • van Kirk, R. W., & Lewis, M. A. (1997). Integrodifference models for persistence in fragmented habitats. Bull. Math. Biol., 59, 107-137.
    • (1997) Bull. Math. Biol. , vol.59 , pp. 107-137
    • van Kirk, R.W.1    Lewis, M.A.2
  • 49
    • 0348143251 scopus 로고    scopus 로고
    • On spreading speeds and traveling waves for growth and migration models in a periodic habitat
    • Weinberger, H. F. (2002). On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol., 45, 511-548.
    • (2002) J. Math. Biol. , vol.45 , pp. 511-548
    • Weinberger, H.F.1
  • 50
    • 4544312843 scopus 로고    scopus 로고
    • Assessing the risk of invasive spread in fragmented landscape
    • With, K. A. (2004). Assessing the risk of invasive spread in fragmented landscape. Risk Anal., 24, 803-815.
    • (2004) Risk Anal. , vol.24 , pp. 803-815
    • With, K.A.1


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