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Volumn 72, Issue 3-4, 2010, Pages 1632-1646

Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response

Author keywords

Beddington DeAngelis functional response; Bifurcation; Fixed point index; Predator prey

Indexed keywords

BEDDINGTON-DE ANGELIS FUNCTIONAL RESPONSE; BIFURCATION THEORY; EIGENVALUES; FIXED-POINT INDEX; FIXED-POINT INDEX THEORY; FUNCTIONAL RESPONSE; PERTURBATION THEORY; POSITIVE SOLUTION; PREDATOR-PREY; PREDATOR-PREY MODELS; SUFFICIENT AND NECESSARY CONDITION; UNIQUENESS OF POSITIVE SOLUTION;

EID: 71549149022     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.09.003     Document Type: Article
Times cited : (43)

References (20)
  • 1
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J. Animal Ecol. 44 1 (1975) 331-340
    • (1975) J. Animal Ecol. , vol.44 , Issue.1 , pp. 331-340
    • Beddington, J.R.1
  • 3
    • 10444225454 scopus 로고    scopus 로고
    • Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response
    • Dimitrov D.T., and Kojouharov H.V. Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response. Appl. Math. Comput. 162 2 (2005) 523-538
    • (2005) Appl. Math. Comput. , vol.162 , Issue.2 , pp. 523-538
    • Dimitrov, D.T.1    Kojouharov, H.V.2
  • 4
    • 80052954107 scopus 로고
    • Bifurcation of steady-state solutions in predator-prey and competition systems
    • Blat J., and Brown K.J. Bifurcation of steady-state solutions in predator-prey and competition systems. Proc. Roy. Soc. Edinburgh Sect. A 97 (1984) 21-34
    • (1984) Proc. Roy. Soc. Edinburgh Sect. A , vol.97 , pp. 21-34
    • Blat, J.1    Brown, K.J.2
  • 5
    • 84966242093 scopus 로고
    • Coexistence theorems of steady states for predator-prey interacting systems
    • Li L. Coexistence theorems of steady states for predator-prey interacting systems. Trans. Amer. Math. Soc. 305 (1988) 143-166
    • (1988) Trans. Amer. Math. Soc. , vol.305 , pp. 143-166
    • Li, L.1
  • 7
    • 0001339498 scopus 로고
    • Global bifurcation of positive solutions in some systems of elliptic equations
    • Blat J., and Brown K.J. Global bifurcation of positive solutions in some systems of elliptic equations. SIAM J. Math. Anal. 17 6 (1986) 1339-1353
    • (1986) SIAM J. Math. Anal. , vol.17 , Issue.6 , pp. 1339-1353
    • Blat, J.1    Brown, K.J.2
  • 8
    • 84972537529 scopus 로고
    • Existence and uniqueness of coexistence states for a predator-prey model with diffusion
    • Casal A., Eilbeck J.C., and López-Gómez J. Existence and uniqueness of coexistence states for a predator-prey model with diffusion. Differential Integral Equations 7 2 (1994) 411-439
    • (1994) Differential Integral Equations , vol.7 , Issue.2 , pp. 411-439
    • Casal, A.1    Eilbeck, J.C.2    López-Gómez, J.3
  • 9
    • 21744459836 scopus 로고    scopus 로고
    • Some uniqueness and exact multiplicity results for a predator-prey model
    • Du Y.H., and Lou Y. Some uniqueness and exact multiplicity results for a predator-prey model. Trans. Amer. Math. Soc. 349 6 (1997) 2443-2475
    • (1997) Trans. Amer. Math. Soc. , vol.349 , Issue.6 , pp. 2443-2475
    • Du, Y.H.1    Lou, Y.2
  • 10
    • 0001674774 scopus 로고    scopus 로고
    • S-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
    • Du Y.H., and Lou Y. S-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model. J. Differential Equations 144 2 (1998) 390-440
    • (1998) J. Differential Equations , vol.144 , Issue.2 , pp. 390-440
    • Du, Y.H.1    Lou, Y.2
  • 11
    • 23044527512 scopus 로고    scopus 로고
    • Qualitative behavior of positive solutions of a predator-prey model: effects of saturation
    • Du Y.H., and Lou Y. Qualitative behavior of positive solutions of a predator-prey model: effects of saturation. Proc. Roy. Soc. Edinburgh Sect. A 131 2 (2001) 321-349
    • (2001) Proc. Roy. Soc. Edinburgh Sect. A , vol.131 , Issue.2 , pp. 321-349
    • Du, Y.H.1    Lou, Y.2
  • 12
    • 26844511430 scopus 로고    scopus 로고
    • Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion
    • Chen W.Y., and Wang M.X. Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion. Math. Comput. Modelling 42 (2005) 31-44
    • (2005) Math. Comput. Modelling , vol.42 , pp. 31-44
    • Chen, W.Y.1    Wang, M.X.2
  • 13
    • 0000907310 scopus 로고
    • On the indices of fixed points of mappings in cones and applications
    • Dancer E.N. On the indices of fixed points of mappings in cones and applications. J. Math. Anal. Appl. 91 (1983) 131-151
    • (1983) J. Math. Anal. Appl. , vol.91 , pp. 131-151
    • Dancer, E.N.1
  • 14
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • Crandall M.G., and Rabinowitz P.H. Bifurcation from simple eigenvalues. J. Funct. Anal. 8 2 (1971) 321-340
    • (1971) J. Funct. Anal. , vol.8 , Issue.2 , pp. 321-340
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 15
    • 0034148920 scopus 로고    scopus 로고
    • Global bifurcation of coexistence state for the competition model in the chemostat
    • Wu J.H. Global bifurcation of coexistence state for the competition model in the chemostat. Nonlinear Anal. 39 7 (2000) 817-835
    • (2000) Nonlinear Anal. , vol.39 , Issue.7 , pp. 817-835
    • Wu, J.H.1
  • 16
    • 0036567595 scopus 로고    scopus 로고
    • Coexistence state for cooperative model with diffusion
    • Wu J.H., and Wei G.S. Coexistence state for cooperative model with diffusion. Comput. Math. Appl. 43 (2002) 1277-1290
    • (2002) Comput. Math. Appl. , vol.43 , pp. 1277-1290
    • Wu, J.H.1    Wei, G.S.2
  • 18
    • 33846252316 scopus 로고    scopus 로고
    • Coexistence states of a predator-prey system with non-monotonic functional response
    • Wonlyul K., and Kimun R. Coexistence states of a predator-prey system with non-monotonic functional response. Nonlinear Anal. 8 (2007) 769-786
    • (2007) Nonlinear Anal. , vol.8 , pp. 769-786
    • Wonlyul, K.1    Kimun, R.2
  • 20
    • 34250616787 scopus 로고    scopus 로고
    • Asymptotic behavior of an unstirred chemostat model with internal inhibitor
    • Nie H., and Wu J.H. Asymptotic behavior of an unstirred chemostat model with internal inhibitor. J. Math. Anal. Appl. 334 (2007) 889-908
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 889-908
    • Nie, H.1    Wu, J.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.