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Volumn 3, Issue 4, 2009, Pages 410-429

Evolution of cross-diffusion and self-diffusion

Author keywords

Coexistence; Competition; Density dependent dispersal

Indexed keywords

ANIMAL; ANIMAL DISPERSAL; ARTICLE; DIFFUSION; EVOLUTION; PHYSIOLOGY; POPULATION DYNAMICS;

EID: 84856721078     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513750802491849     Document Type: Article
Times cited : (18)

References (51)
  • 1
    • 19144371938 scopus 로고    scopus 로고
    • Causes and consequences of animal dispersal strategies: Relating individual behavior to spatial dynamics
    • Bowler, D. E., and Benten, T. G., 2005. Causes and consequences of animal dispersal strategies:relating individual behavior to spatial dynamics. Biol. Rev., 80:205–225.
    • (2005) Biol. Rev. , vol.80 , pp. 205-225
    • Bowler, D.E.1    Benten, T.G.2
  • 3
    • 33645127351 scopus 로고    scopus 로고
    • Multiple reversals of competitive dominance in ecological reserves via external habitat degradation
    • Cantrell, R. S., Cosner, C., and Lou, Y., 2004. Multiple reversals of competitive dominance in ecological reserves via external habitat degradation. J. Dyn. Diff. Eqs., 16:973–1010.
    • (2004) J. Dyn. Diff. Eqs. , vol.16 , pp. 973-1010
    • Cantrell, R.S.1    Cosner, C.2    Lou, Y.3
  • 4
    • 33750697273 scopus 로고    scopus 로고
    • Movement towards better environments and the evolution of rapid diffusion
    • Cantrell, R. S., Cosner, C., and Lou, Y., 2006. Movement towards better environments and the evolution of rapid diffusion. Math Biosciences, 204:199–214.
    • (2006) Math Biosciences , vol.204 , pp. 199-214
    • Cantrell, R.S.1    Cosner, C.2    Lou, Y.3
  • 5
    • 45049088603 scopus 로고    scopus 로고
    • The ideal free distribution as an evolutionarily stable strategy
    • Cantrell, R. S., Cosner, C., DeAngelis, D. L., and Padrón, V., 2007. The ideal free distribution as an evolutionarily stable strategy. J. Biol. Dyn., 1:249–271.
    • (2007) J. Biol. Dyn. , vol.1 , pp. 249-271
    • Cantrell, R.S.1    Cosner, C.2    DeAngelis, D.L.3    Padrón, V.4
  • 6
    • 34547354459 scopus 로고    scopus 로고
    • Advection mediated coexistence of competing species
    • Cantrell, R. S., Cosner, C., and Lou, Y., 2007. Advection mediated coexistence of competing species. Proc. Roy. Soc. Edinb. A, 137:497–518.
    • (2007) Proc. Roy. Soc. Edinb. A , vol.137 , pp. 497-518
    • Cantrell, R.S.1    Cosner, C.2    Lou, Y.3
  • 7
    • 45049085238 scopus 로고    scopus 로고
    • Evolution of conditional dispersal: A reaction-diffusion-advection model
    • Chen, X. F., Hambrock, R., and Lou, Y., 2008. Evolution of conditional dispersal:a reaction-diffusion-advection model. J. Math. Biol., 57:361–386.
    • (2008) J. Math. Biol. , vol.57 , pp. 361-386
    • Chen, X.F.1    Hambrock, R.2    Lou, Y.3
  • 8
    • 45849090405 scopus 로고    scopus 로고
    • Principal eigenvalue and eigenfunction of elliptic operator with large convection and its application to a competition model
    • Chen, X. F., and Lou, Y., 2008. Principal eigenvalue and eigenfunction of elliptic operator with large convection and its application to a competition model. Indiana Univ. Math. J., 57:627–658.
    • (2008) Indiana Univ. Math. J. , vol.57 , pp. 627-658
    • Chen, X.F.1    Lou, Y.2
  • 9
    • 0038446673 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
    • Choi, Y. S., Lui, R., and Yamada, Y., 2003. Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion. Disc. Cont. Dyn. Syst. A, 9:1193–1200.
    • (2003) Disc. Cont. Dyn. Syst. A , vol.9 , pp. 1193-1200
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 10
    • 1042267866 scopus 로고    scopus 로고
    • Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
    • Choi, Y. S., Lui, R., and Yamada, Y., 2004. Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion. Disc. Cont. Dyn. Syst. A, 10:719–730.
    • (2004) Disc. Cont. Dyn. Syst. A , vol.10 , pp. 719-730
    • Choi, Y.S.1    Lui, R.2    Yamada, Y.3
  • 11
    • 0002086916 scopus 로고    scopus 로고
    • The evolution of slow dispersal rates: A reaction-diffusion model
    • Dockery, J., Hutson, V., Mischaikow, K., and Pernarowski, M., 1998. The evolution of slow dispersal rates:a reaction-diffusion model. J. Math. Biol., 37:61–83.
    • (1998) J. Math. Biol. , vol.37 , pp. 61-83
    • Dockery, J.1    Hutson, V.2    Mischaikow, K.3    Pernarowski, M.4
  • 12
    • 0029137041 scopus 로고
    • Dispersal and dynamics
    • Doebeli, M., 1995. Dispersal and dynamics. Theor. Pop. Biol., 47:82–106.
    • (1995) Theor. Pop. Biol. , vol.47 , pp. 82-106
    • Doebeli, M.1
  • 13
    • 0030868689 scopus 로고    scopus 로고
    • Balanced dispersal between spatially varying local populations: An alternative to the source-sink model
    • Doncaster, C. P., Clobert, J., Doligez, B., Gustafsson, L., and Danchin, E., 1997. Balanced dispersal between spatially varying local populations:an alternative to the source-sink model. Am. Nat., 150:425–445.
    • (1997) Am. Nat. , vol.150 , pp. 425-445
    • Doncaster, C.P.1    Clobert, J.2    Doligez, B.3    Gustafsson, L.4    Danchin, E.5
  • 14
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • Gidas, B., and Spruck, J., 1981. A priori bounds for positive solutions of nonlinear elliptic equations. Comm. Partial Diff. Eq., 6:883–901.
    • (1981) Comm. Partial Diff. Eq. , vol.6 , pp. 883-901
    • Gidas, B.1    Spruck, J.2
  • 16
    • 33846860534 scopus 로고    scopus 로고
    • Two-species competition with high dispersal: The winning strategy
    • Gourley, S., and Kuang, Y., 2005. Two-species competition with high dispersal:the winning strategy. Math. Biosci. Eng., 2:345–362.
    • (2005) Math. Biosci. Eng. , vol.2 , pp. 345-362
    • Gourley, S.1    Kuang, Y.2
  • 17
    • 43149099964 scopus 로고
    • Can spatial variation alone lead to selection for dispersal?
    • Hastings, A., 1983. Can spatial variation alone lead to selection for dispersal?. Theor. Pop. Biol., 33:311–314.
    • (1983) Theor. Pop. Biol. , vol.33 , pp. 311-314
    • Hastings, A.1
  • 18
    • 0000201867 scopus 로고
    • Population dynamics in two-patch environments: Some anomalous consequences of an optimal habitat distribution
    • Holt, R. D., 1985. Population dynamics in two-patch environments:some anomalous consequences of an optimal habitat distribution. Theor. Pop. Biol., 28:181–208.
    • (1985) Theor. Pop. Biol. , vol.28 , pp. 181-208
    • Holt, R.D.1
  • 19
    • 0030389963 scopus 로고    scopus 로고
    • Chaotic population dynamics favors the evolution of dispersal
    • Holt, R. D., and McPeek, M. A., 1996. Chaotic population dynamics favors the evolution of dispersal. Am. Nat., 148:709–718.
    • (1996) Am. Nat. , vol.148 , pp. 709-718
    • Holt, R.D.1    McPeek, M.A.2
  • 22
    • 0035747963 scopus 로고    scopus 로고
    • The evolution of dispersal rates in a heterogeneous time-periodic environment
    • Hutson, V., Mischaikow, K., and Poláčik, P., 2001. The evolution of dispersal rates in a heterogeneous time-periodic environment. J. Math. Biol., 43:501–533.
    • (2001) J. Math. Biol. , vol.43 , pp. 501-533
    • Hutson, V.1    Mischaikow, K.2    Poláčik, P.3
  • 23
    • 33748291529 scopus 로고    scopus 로고
    • Diffusion, cross-diffusion and competitive interaction
    • Iida, M., Mimura, M., and Ninomiya, H., 2006. Diffusion, cross-diffusion and competitive interaction. J. Math. Biol., 53:617–641.
    • (2006) J. Math. Biol. , vol.53 , pp. 617-641
    • Iida, M.1    Mimura, M.2    Ninomiya, H.3
  • 24
    • 33747201324 scopus 로고    scopus 로고
    • On the evolution of dispersal in patchy environments
    • Kirkland, S., Li, C.-K., and Schreiber, S. J., 2006. On the evolution of dispersal in patchy environments. SIAM J. Appl. Math., 66:1366–1382.
    • (2006) SIAM J. Appl. Math. , vol.66 , pp. 1366-1382
    • Kirkland, S.1    Li, C.-K.2    Schreiber, S.J.3
  • 25
    • 39349116728 scopus 로고    scopus 로고
    • Global attractors for cross diffusion systems on domains of arbitrary dimension
    • Kuiper, H., and Le D. 2007. Global attractors for cross diffusion systems on domains of arbitrary dimension. Rocky Mountain J. Math, 37:1645–1668.
    • (2007) Rocky Mountain J. Math , vol.37 , pp. 1645-1668
    • Kuiper, H.1    Le, D.2
  • 26
    • 31744452122 scopus 로고    scopus 로고
    • Global existence for a class of strongly coupled parabolic systems
    • Le D. 2006. Global existence for a class of strongly coupled parabolic systems. Ann. Mat. Pura Appl., 185:133–154.
    • (2006) Ann. Mat. Pura Appl. , vol.185 , pp. 133-154
    • Le, D.1
  • 27
    • 22544441869 scopus 로고    scopus 로고
    • Global existence for a class of triangular parabolic systems on domains of arbitrary dimension
    • Le D. and Nguyen, T. T., 2005. Global existence for a class of triangular parabolic systems on domains of arbitrary dimension. Proc. Amer. Math. Soc., 133:1985–1992.
    • (2005) Proc. Amer. Math. Soc. , vol.133 , pp. 1985-1992
    • Le, D.1    Nguyen, T.T.2
  • 29
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • Lin, C. S., Ni, W. M., and Takagi, I., 1988. Large amplitude stationary solutions to a chemotaxis system. J. Diff. Eq., 72:1–27.
    • (1988) J. Diff. Eq. , vol.72 , pp. 1-27
    • Lin, C.S.1    Ni, W.M.2    Takagi, I.3
  • 30
    • 0030579038 scopus 로고    scopus 로고
    • Diffusion, self-diffusion and cross-diffusion
    • Lou, Y., and Ni, W. M., 1996. Diffusion, self-diffusion and cross-diffusion. J. Diff. Eqs., 131:79–131.
    • (1996) J. Diff. Eqs. , vol.131 , pp. 79-131
    • Lou, Y.1    Ni, W.M.2
  • 31
    • 0033130048 scopus 로고    scopus 로고
    • Diffusion vs. cross-diffusion: An elliptic approach
    • Lou, Y., and Ni, W. M., 1999. Diffusion vs. cross-diffusion:an elliptic approach. J. Diff. Eqs., 154:157–190.
    • (1999) J. Diff. Eqs. , vol.154 , pp. 157-190
    • Lou, Y.1    Ni, W.M.2
  • 32
    • 0032388194 scopus 로고    scopus 로고
    • On the global existence of a cross-diffusion system
    • Lou, Y., Ni, W. M., and Wu, Y. P., 1998. On the global existence of a cross-diffusion system. Disc. Cont. Dyn. Sys. A, 4:193–203.
    • (1998) Disc. Cont. Dyn. Sys. A , vol.4 , pp. 193-203
    • Lou, Y.1    Ni, W.M.2    Wu, Y.P.3
  • 33
    • 0347055376 scopus 로고    scopus 로고
    • On 3×3 Lotka-Volterra competition systems with cross-diffusion
    • Lou, Y., Martinez, S., and Ni, W. M., 2000. On 3×3 Lotka-Volterra competition systems with cross-diffusion. Dis. Cont. Dyn. Sys. A, 6:175–190.
    • (2000) Dis. Cont. Dyn. Sys. A , vol.6 , pp. 175-190
    • Lou, Y.1    Martinez, S.2    Ni, W.M.3
  • 34
    • 85019475060 scopus 로고    scopus 로고
    • On a limiting system in the Lotka-Volterra competition with cross-diffusion
    • Lou, Y., Ni, W. M., and Yotsutani, S., 2004. On a limiting system in the Lotka-Volterra competition with cross-diffusion. Dis. Cont. Dyn. Sys. A, 10:435–458.
    • (2004) Dis. Cont. Dyn. Sys. A , vol.10 , pp. 435-458
    • Lou, Y.1    Ni, W.M.2    Yotsutani, S.3
  • 35
    • 33748619749 scopus 로고    scopus 로고
    • Loops and branches of coexistence states in a Lotka-Volterra competition model
    • Lou, Y., Martinez, S., and Poláčik, P., 2006. Loops and branches of coexistence states in a Lotka-Volterra competition model. J. Diff. Eqs., 230:720–742.
    • (2006) J. Diff. Eqs. , vol.230 , pp. 720-742
    • Lou, Y.1    Martinez, S.2    Poláčik, P.3
  • 36
    • 28244486431 scopus 로고    scopus 로고
    • The effect of dispersal patterns on stream populations
    • Lutscher, F., Pachepsky, E., and Lewis, M., 2005. The effect of dispersal patterns on stream populations. SIAM Rev., 47:749–772.
    • (2005) SIAM Rev. , vol.47 , pp. 749-772
    • Lutscher, F.1    Pachepsky, E.2    Lewis, M.3
  • 37
    • 84998211051 scopus 로고
    • Pattern formation in competition-diffusion systems in non-convex domains
    • Matano, H., and Mimura, M., 1983. Pattern formation in competition-diffusion systems in non-convex domains. Publ. RIMS. Kyoto Univ., 19:1049–1079.
    • (1983) Publ. RIMS. Kyoto Univ. , vol.19 , pp. 1049-1079
    • Matano, H.1    Mimura, M.2
  • 38
    • 0027079496 scopus 로고
    • The evolution of dispersal in spatially and temporally varying environments
    • McPeek, M. A., and Holt, R. D., 1992. The evolution of dispersal in spatially and temporally varying environments. Am. Nat., 140:1010–1027.
    • (1992) Am. Nat. , vol.140 , pp. 1010-1027
    • McPeek, M.A.1    Holt, R.D.2
  • 39
    • 84972502084 scopus 로고
    • Stationary pattern of some density-dependent diffusion system with competitive dynamics
    • Mimura, M., 1981. Stationary pattern of some density-dependent diffusion system with competitive dynamics. Hiroshima Math. J., 11:621–635.
    • (1981) Hiroshima Math. J. , vol.11 , pp. 621-635
    • Mimura, M.1
  • 40
    • 0018830043 scopus 로고
    • Spatial segregation in competitive interaction-diffusion equations
    • Mimura, M., and Kawasaki, K., 1980. Spatial segregation in competitive interaction-diffusion equations. J. Math. Biol., 9:49–64.
    • (1980) J. Math. Biol. , vol.9 , pp. 49-64
    • Mimura, M.1    Kawasaki, K.2
  • 41
    • 84972584509 scopus 로고
    • Coexistence problem for two competing species models with density-dependent diffusion
    • Mimura, M., Nishiura, Y., Tesei, A., and Tsujikawa, T., 1984. Coexistence problem for two competing species models with density-dependent diffusion. Hiroshima Math. J., 14:425–449.
    • (1984) Hiroshima Math. J. , vol.14 , pp. 425-449
    • Mimura, M.1    Nishiura, Y.2    Tesei, A.3    Tsujikawa, T.4
  • 42
    • 8744256531 scopus 로고    scopus 로고
    • Dispersal among habitats varying in fitness: Reciprocating migration through ideal habitat selection
    • Morris, D. W., Diffendorfer, J. E., and Lundberg, P., 2004. Dispersal among habitats varying in fitness:reciprocating migration through ideal habitat selection. Oioks, 107:559–575.
    • (2004) Oioks , vol.107 , pp. 559-575
    • Morris, D.W.1    Diffendorfer, J.E.2    Lundberg, P.3
  • 43
    • 38349114802 scopus 로고    scopus 로고
    • On global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems in domains of arbitrary dimensions
    • Phan, T. V., 2007. On global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems in domains of arbitrary dimensions. Proc. Amer. Math. Soc., 135:3933–3941.
    • (2007) Proc. Amer. Math. Soc. , vol.135 , pp. 3933-3941
    • Phan, T.V.1
  • 46
    • 0018783879 scopus 로고
    • Spatial segregation of interacting species
    • Shigesada, N., Kawasaki, K., and Teramoto, E., 1979. Spatial segregation of interacting species. J. Theo. Biol., 79:83–99.
    • (1979) J. Theo. Biol. , vol.79 , pp. 83-99
    • Shigesada, N.1    Kawasaki, K.2    Teramoto, E.3
  • 47
    • 0037057996 scopus 로고    scopus 로고
    • Uniform boundedness and convergence of solutions to cross-diffusion systems
    • Shim, S. A., 2002. Uniform boundedness and convergence of solutions to cross-diffusion systems. J. Diff. Eqs., 185:281–305.
    • (2002) J. Diff. Eqs. , vol.185 , pp. 281-305
    • Shim, S.A.1
  • 48
    • 84972539057 scopus 로고
    • Center manifolds for quasilinear reaction-diffusion systems
    • Simonett, G., 1995. Center manifolds for quasilinear reaction-diffusion systems. Diff. Int. Eqs., 8:753–796.
    • (1995) Diff. Int. Eqs. , vol.8 , pp. 753-796
    • Simonett, G.1
  • 49
    • 0033531720 scopus 로고    scopus 로고
    • Habitat persistence, habitat availability and the evolution of dispersal
    • Travis, J. M.J., and Dytham, C., 1999. Habitat persistence, habitat availability and the evolution of dispersal. Proc. Roy. Soc. Lond. B, 266:723–728.
    • (1999) Proc. Roy. Soc. Lond. B , vol.266 , pp. 723-728
    • Travis, J.M.J.1    Dytham, C.2
  • 50
    • 0034113965 scopus 로고    scopus 로고
    • Dispersal functions and spatial models: Expanding our dispersal toolbox
    • Travis, J. M.J., and French, D. R., 2000. Dispersal functions and spatial models:expanding our dispersal toolbox. Ecology Letters, 3:163–165.
    • (2000) Ecology Letters , vol.3 , pp. 163-165
    • Travis, J.M.J.1    French, D.R.2


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