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Volumn 6, Issue 1, 2000, Pages 175-190

On 3 x 3 Lotka-Volterra competition systems with cross-diffusion

Author keywords

A priori estimates; Competition diffusion systems; Cross diffusion; Degree theory

Indexed keywords


EID: 0347055376     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (69)

References (14)
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    • (1993) Function Spaces, Differential Operator and Nonlinear Analysis , vol.13 , pp. 9-126
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  • 3
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    • Experimental evidence of a sustained Turing-type equilibrium chemical pattern
    • V. Castets, E. Dulos, J. Boissonade and P. DeKepper, Experimental evidence of a sustained Turing-type equilibrium chemical pattern, Phys. Rev. Lett. 64 (1990), 2953-2956.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2953-2956
    • Castets, V.1    Dulos, E.2    Boissonade, J.3    DeKepper, P.4
  • 4
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    • (1972) Kybernetik , vol.12 , pp. 30-39
    • Gierer, A.1    Meinhardt, H.2
  • 5
    • 0030579038 scopus 로고    scopus 로고
    • Diffusion, self-diffusion and cross-diffusion
    • Y. Lou and W.-M. Ni, Diffusion, self-diffusion and cross-diffusion, J. Differential Equations 131 (1996), 79-131.
    • (1996) J. Differential Equations , vol.131 , pp. 79-131
    • Lou, Y.1    Ni, W.-M.2
  • 6
    • 0033130048 scopus 로고    scopus 로고
    • Diffusion vs. cross-diffusion: An elliptic approach
    • Y. Lou and W.-M. Ni, Diffusion vs. cross-diffusion: an elliptic approach, J. Differential Equations 154 (1999), 157-190.
    • (1999) J. Differential Equations , vol.154 , pp. 157-190
    • Lou, Y.1    Ni, W.-M.2
  • 8
    • 0003002827 scopus 로고    scopus 로고
    • Diffusion, cross-diffusion and their spike-layer steady states
    • W.-M. Ni, Diffusion, cross-diffusion and their spike-layer steady states, Notices Amer. Math. Soc. 45 (1998), no 1, 9-18.
    • (1998) Notices Amer. Math. Soc. , vol.45 , Issue.1 , pp. 9-18
    • Ni, W.-M.1
  • 10
    • 36449002257 scopus 로고
    • Dependence of Turing pattern wavelength on diffusion rate
    • Q. Ouyang, R. Li, G. Li and H.L. Swinney, Dependence of Turing pattern wavelength on diffusion rate, J. Chem. Phys. 102 (1995), 2551-2555.
    • (1995) J. Chem. Phys. , vol.102 , pp. 2551-2555
    • Ouyang, Q.1    Li, R.2    Li, G.3    Swinney, H.L.4
  • 13
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    • The chemical basis of morphogenesis
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  • 14
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    • Hopf bifurcations in competitive three dimensional Lotka-Volterra systems
    • M.L. Zeeman, Hopf bifurcations in competitive three dimensional Lotka-Volterra systems, Dynam. Stability of Systems, Vol. 8, No. 3 (1993), 189-217.
    • (1993) Dynam. Stability of Systems , vol.8 , Issue.3 , pp. 189-217
    • Zeeman, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.