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Volumn 338, Issue 2, 2008, Pages 902-924

Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities

Author keywords

Banach spaces; Existence; Stability; Traveling wave

Indexed keywords


EID: 34848914832     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.05.066     Document Type: Article
Times cited : (33)

References (26)
  • 1
    • 0000469757 scopus 로고
    • Travelling wave solutions to combustion models and their singular limits
    • Berestycki H., Nicolaenko B., and Scheurer B. Travelling wave solutions to combustion models and their singular limits. SIAM J. Math. 16 (1985) 1207-1242
    • (1985) SIAM J. Math. , vol.16 , pp. 1207-1242
    • Berestycki, H.1    Nicolaenko, B.2    Scheurer, B.3
  • 3
    • 17144411847 scopus 로고    scopus 로고
    • Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species
    • Brown S., Dockery J., and Pernarowski M. Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species. Math. Biosci. 194 (2005) 21-36
    • (2005) Math. Biosci. , vol.194 , pp. 21-36
    • Brown, S.1    Dockery, J.2    Pernarowski, M.3
  • 4
    • 0000329668 scopus 로고
    • An application of the generalized Morse index to traveling wave solutions of a competitive reaction diffusion model
    • Conley C., and Gardner R. An application of the generalized Morse index to traveling wave solutions of a competitive reaction diffusion model. Indiana Univ. Math. J. 33 (1984) 319-345
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 319-345
    • Conley, C.1    Gardner, R.2
  • 6
    • 0039840007 scopus 로고    scopus 로고
    • Traveling waves in a model of species migration
    • Feltham D., and Chaplain M. Traveling waves in a model of species migration. Appl. Math. Lett. 13 (2000) 67-73
    • (2000) Appl. Math. Lett. , vol.13 , pp. 67-73
    • Feltham, D.1    Chaplain, M.2
  • 7
    • 0001171846 scopus 로고
    • Local stability of critical fronts in nonlinear parabolic partial differential equations
    • Galley T. Local stability of critical fronts in nonlinear parabolic partial differential equations. Nonlinearity 7 (1994) 741-764
    • (1994) Nonlinearity , vol.7 , pp. 741-764
    • Galley, T.1
  • 8
    • 0346415941 scopus 로고
    • Existence of traveling wave solutions of competing models. A degree theoretic approach
    • Gardner R. Existence of traveling wave solutions of competing models. A degree theoretic approach. J. Differential Equations 44 (1982) 343-364
    • (1982) J. Differential Equations , vol.44 , pp. 343-364
    • Gardner, R.1
  • 9
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer-Verlag, New York
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. vol. 840 (1981), Springer-Verlag, New York
    • (1981) Lecture Notes in Math. , vol.840
    • Henry, D.1
  • 11
    • 33745294237 scopus 로고    scopus 로고
    • Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations
    • Hou X., and Li Y. Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations. Discrete Contin. Dyn. Syst. 15 (2006) 681-701
    • (2006) Discrete Contin. Dyn. Syst. , vol.15 , pp. 681-701
    • Hou, X.1    Li, Y.2
  • 12
    • 0037101519 scopus 로고    scopus 로고
    • Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays
    • Huang J., and Zou X. Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays. J. Math. Anal. Appl. 271 (2002) 455-466
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 455-466
    • Huang, J.1    Zou, X.2
  • 13
    • 44049118931 scopus 로고
    • On the nonlinear dynamics of travelling fronts
    • Kirchgassner K. On the nonlinear dynamics of travelling fronts. J. Differential Equations 96 (1992) 256-278
    • (1992) J. Differential Equations , vol.96 , pp. 256-278
    • Kirchgassner, K.1
  • 16
  • 18
    • 0000814275 scopus 로고
    • On the stability of waves of nonlinear parabolic systems
    • Sattinger D.H. On the stability of waves of nonlinear parabolic systems. Adv. Math. 22 (1976) 312-355
    • (1976) Adv. Math. , vol.22 , pp. 312-355
    • Sattinger, D.H.1
  • 21
    • 0003147834 scopus 로고
    • Propagating fronts for competing species with diffusion
    • Tang M., and Fife P. Propagating fronts for competing species with diffusion. Arch. Ration. Mech. Anal. 73 (1978) 69-77
    • (1978) Arch. Ration. Mech. Anal. , vol.73 , pp. 69-77
    • Tang, M.1    Fife, P.2
  • 22
    • 0001526441 scopus 로고
    • The existence of traveling plane waves in a general class of competition-diffusive systems
    • Van Vuuren J. The existence of traveling plane waves in a general class of competition-diffusive systems. IMA J. Appl. Math. 55 (1995) 135-148
    • (1995) IMA J. Appl. Math. , vol.55 , pp. 135-148
    • Van Vuuren, J.1
  • 23
    • 0001412911 scopus 로고
    • Traveling Wave Solutions of Parabolic Systems
    • Amer. Math. Soc., Providence, RI
    • Volpert I., Volpert V., and Volpert V. Traveling Wave Solutions of Parabolic Systems. Transl. Math. Monogr. vol. 140 (1994), Amer. Math. Soc., Providence, RI
    • (1994) Transl. Math. Monogr. , vol.140
    • Volpert, I.1    Volpert, V.2    Volpert, V.3
  • 24
    • 33646842193 scopus 로고    scopus 로고
    • A mathematical analysis on public goods games in the continuous space
    • Wakano J. A mathematical analysis on public goods games in the continuous space. Math. Biosci. 201 (2006) 72-89
    • (2006) Math. Biosci. , vol.201 , pp. 72-89
    • Wakano, J.1
  • 25
    • 0343717093 scopus 로고    scopus 로고
    • Traveling wave fronts of reaction-diffusion systems with delay
    • Wu J., and Zou X. Traveling wave fronts of reaction-diffusion systems with delay. J. Dynam. Differential Equations 13 (2001) 651-687
    • (2001) J. Dynam. Differential Equations , vol.13 , pp. 651-687
    • Wu, J.1    Zou, X.2
  • 26
    • 0034206088 scopus 로고    scopus 로고
    • Front propagation in heterogeneous media
    • Xin J. Front propagation in heterogeneous media. SIAM Rev. 42 2 (2000) 161-230
    • (2000) SIAM Rev. , vol.42 , Issue.2 , pp. 161-230
    • Xin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.