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Volumn 8, Issue 1, 2007, Pages 61-72

Some remarks on a singular reaction-diffusion system arising in predator-prey modeling

Author keywords

Blow up time; Global existence; Invasion and persistence; Oscillations; Predator prey model in insular environment; Singular reaction diffusion systems

Indexed keywords


EID: 34548677069     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2007.8.61     Document Type: Conference Paper
Times cited : (19)

References (17)
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  • 2
    • 0000614595 scopus 로고
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    • N.-D. Alikakos. An application of the invariance principle to reaction-diffusion equations, J. Differential Equations, 33 (1979), 201-225.
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    • Alikakos, N.-D.1
  • 5
    • 26844511430 scopus 로고    scopus 로고
    • Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
    • W. Chen and M. Wang, Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion, Math. Computer Modelling, 42 (2005), 31-44.
    • (2005) Math. Computer Modelling , vol.42 , pp. 31-44
    • Chen, W.1    Wang, M.2
  • 6
    • 0033081695 scopus 로고    scopus 로고
    • Modelling the biological control of an alien predator to protect island species from extinction
    • F. Courchamp and G. Sugihara, Modelling the biological control of an alien predator to protect island species from extinction. Ecological Applications, 9 (1999), 112-123.
    • (1999) Ecological Applications , vol.9 , pp. 112-123
    • Courchamp, F.1    Sugihara, G.2
  • 7
    • 0033168675 scopus 로고    scopus 로고
    • Control of rabbits to protect island birds from cat predation
    • F. Courchamp, M. Langlais and G. Sugihara, Control of rabbits to protect island birds from cat predation. Biological Conservation, 89 (1999), 219-225.
    • (1999) Biological Conservation , vol.89 , pp. 219-225
    • Courchamp, F.1    Langlais, M.2    Sugihara, G.3
  • 9
    • 23944522461 scopus 로고    scopus 로고
    • Invading introduced species in insular heterogeneous environments
    • S. Gaucel, M. Langlais and D. Pontier, Invading introduced species in insular heterogeneous environments. Ecological Modelling, 18 (2005), 62-75.
    • (2005) Ecological Modelling , vol.18 , pp. 62-75
    • Gaucel, S.1    Langlais, M.2    Pontier, D.3
  • 10
    • 23944494125 scopus 로고    scopus 로고
    • How predator food preference can change the destiny of native preys in predator-prey systems
    • S. Gaucel and D. Pontier, How predator food preference can change the destiny of native preys in predator-prey systems. Biological Invasion, 7 (2005), 795-806.
    • (2005) Biological Invasion , vol.7 , pp. 795-806
    • Gaucel, S.1    Pontier, D.2
  • 13
    • 34548689470 scopus 로고    scopus 로고
    • O.-A. Ladyzenskaja, V. Solonnikov V and N.-N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Transl. AMS 23, Providence Rhode Island, 1968.
    • O.-A. Ladyzenskaja, V. Solonnikov V and N.-N. Ural'ceva, "Linear and Quasilinear Equations of Parabolic Type," Transl. AMS 23, Providence Rhode Island, 1968.
  • 14
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    • Mathematical Biology
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    • rd edition, Biomathematics Series, 19, Springer Verlag, Berlin, (2002).
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    • Murray, J.-D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.