메뉴 건너뛰기




Volumn 32, Issue 3, 2000, Pages 504-521

Coexistence with chemotaxis

Author keywords

Chemotaxis; Cross diffusion; Fixed point index

Indexed keywords


EID: 0034353698     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099346779     Document Type: Article
Times cited : (18)

References (24)
  • 1
    • 0031230367 scopus 로고    scopus 로고
    • Properties of solutions for a chemotaxis system
    • W. ALLEGRETTO, H. XIE, AND S. YANG, Properties of solutions for a chemotaxis system, J. Math. Biol., 35 (1997), pp. 949-966.
    • (1997) J. Math. Biol. , vol.35 , pp. 949-966
    • Allegretto, W.1    Xie, H.2    Yang, S.3
  • 2
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. AMANN, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev., 18 (1976), pp. 620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 3
    • 58149321092 scopus 로고
    • Positive solutions for a three-species competition system with diffusion-Part I and Part II
    • E. N. DANCER AND Y. DU, Positive solutions for a three-species competition system with diffusion-Part I and Part II, Nonlinear Anal., 24 (1995), pp. 337-373.
    • (1995) Nonlinear Anal. , vol.24 , pp. 337-373
    • Dancer, E.N.1    Du, Y.2
  • 4
    • 0001002603 scopus 로고
    • On positive solutions of some pairs of differential equations
    • E. N. DANCER, On positive solutions of some pairs of differential equations, Trans. Amer. Math. Soc., 284 (1984), pp. 729-743.
    • (1984) Trans. Amer. Math. Soc. , vol.284 , pp. 729-743
    • Dancer, E.N.1
  • 6
    • 0002597536 scopus 로고    scopus 로고
    • Global attractors and steady state solutions for a class of reaction diffusion systems
    • L. DUNG, Global attractors and steady state solutions for a class of reaction diffusion systems, J. Differential Equations, 147 (1998), pp. 1-29.
    • (1998) J. Differential Equations , vol.147 , pp. 1-29
    • Dung, L.1
  • 7
    • 0033901963 scopus 로고    scopus 로고
    • Ultimately uniform boundedness of solutions and gradients for degenerate parabolic systems
    • L. DUNG, Ultimately uniform boundedness of solutions and gradients for degenerate parabolic systems, Nonlinear Anal., 39 (2000), pp. 157-171.
    • (2000) Nonlinear Anal. , vol.39 , pp. 157-171
    • Dung, L.1
  • 8
    • 0000654118 scopus 로고    scopus 로고
    • Dissipativity and global attractors for a class of quasilinear parabolic systems
    • L. DUNG, Dissipativity and global attractors for a class of quasilinear parabolic systems, Comm. Partial Differential Equations, 22 (1997), pp. 413-433.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 413-433
    • Dung, L.1
  • 9
    • 0007426107 scopus 로고    scopus 로고
    • On steady state solutions for a class of reaction diffusion systems
    • L. DUNG, On steady state solutions for a class of reaction diffusion systems, Canadian Appl. Math. Quart., 6 (1997), pp. 1-18.
    • (1997) Canadian Appl. Math. Quart. , vol.6 , pp. 1-18
    • Dung, L.1
  • 10
    • 0001236097 scopus 로고    scopus 로고
    • Steady states of models of microbial growth and competition with chemotaxis
    • L. DUNG AND H. SMITH, Steady states of models of microbial growth and competition with chemotaxis, J. Math. Anal. Appl., 229 (1999), pp. 295-318.
    • (1999) J. Math. Anal. Appl. , vol.229 , pp. 295-318
    • Dung, L.1    Smith, H.2
  • 11
    • 0030239605 scopus 로고    scopus 로고
    • On a parabolic system modelling microbial competition in an unmixed bio-reactor
    • L. DUNG AND H. L. SMITH, On a parabolic system modelling microbial competition in an unmixed bio-reactor, J. Differential Equations, 130 (1996), pp. 59-91.
    • (1996) J. Differential Equations , vol.130 , pp. 59-91
    • Dung, L.1    Smith, H.L.2
  • 14
    • 84979112025 scopus 로고
    • Stationary solutions of reaction-diffusion equations
    • K. P. HADELER, F. ROTHE, AND H. VOGT, Stationary solutions of reaction-diffusion equations, Math. Methods Appl. Sci., 1 (1979), pp. 418-431.
    • (1979) Math. Methods Appl. Sci. , vol.1 , pp. 418-431
    • Hadeler, K.P.1    Rothe, F.2    Vogt, H.3
  • 15
    • 0030334089 scopus 로고    scopus 로고
    • Chemotactic collapse for the Keller-Segel model
    • M. HERRERO AND J. VELÁZQUEZ, Chemotactic collapse for the Keller-Segel model, J. Math. Biol., 35 (1996), pp. 177-194.
    • (1996) J. Math. Biol. , vol.35 , pp. 177-194
    • Herrero, M.1    Velázquez, J.2
  • 16
    • 84966208077 scopus 로고
    • On explosion of solutions to a system of partial differential equations modelling chemotaxis
    • W. JÄGER AND S. LUCKHAUS, On explosion of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc., 329 (1992), pp. 819-824.
    • (1992) Trans. Amer. Math. Soc. , vol.329 , pp. 819-824
    • Jäger, W.1    Luckhaus, S.2
  • 17
    • 0014748565 scopus 로고
    • Initiation of slime mold aggregation viewed as an instability
    • E. F. KELLER AND L. A. SEGEL, Initiation of slime mold aggregation viewed as an instability, J. Theory Biol., 26 (1970), pp. 399-415.
    • (1970) J. Theory Biol. , vol.26 , pp. 399-415
    • Keller, E.F.1    Segel, L.A.2
  • 18
    • 0023680615 scopus 로고
    • Effect of bacterial chemotaxis on dynamics of microbial competition
    • F. KELLY, K. DAPSIS, AND D. LAUFFENBURGER, Effect of bacterial chemotaxis on dynamics of microbial competition, Microbial Ecology, 16 (1988), pp. 115-131.
    • (1988) Microbial Ecology , vol.16 , pp. 115-131
    • Kelly, F.1    Dapsis, K.2    Lauffenburger, D.3
  • 19
    • 51249174778 scopus 로고
    • Quantitative studies of bacterial chemotaxis and microbial population dynamics
    • D. LAUFFENBURGER, Quantitative studies of bacterial chemotaxis and microbial population dynamics, Microbial Ecology, 22 (1991), pp. 175-185.
    • (1991) Microbial Ecology , vol.22 , pp. 175-185
    • Lauffenburger, D.1
  • 20
    • 0020359914 scopus 로고
    • Effects of cell motility and chemotaxis on microbial population growth
    • D. LAUFFENBURGER, R. ARIS, AND K. KELLER, Effects of cell motility and chemotaxis on microbial population growth, Biophys. J., 40 (1982), pp. 209-219.
    • (1982) Biophys. J. , vol.40 , pp. 209-219
    • Lauffenburger, D.1    Aris, R.2    Keller, K.3
  • 21
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • C. S. LIN, W. M. NI, AND I. TAKAGI, Large amplitude stationary solutions to a chemotaxis system, J. Differential Equations, 72 (1988), pp. 1-27.
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.S.1    Ni, W.M.2    Takagi, I.3
  • 22
    • 0001373727 scopus 로고
    • Stationary solutions of chemotaxis systems
    • R. SCHAFF, Stationary solutions of chemotaxis systems, Trans. Amer. Math. Soc., 292 (1985), pp. 531-556.
    • (1985) Trans. Amer. Math. Soc. , vol.292 , pp. 531-556
    • Schaff, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.