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Volumn 335, Issue 1, 2007, Pages 498-523

Analysis of ratio-dependent food chain model

Author keywords

Biological control; Locally globally asymptotically stable; Positive coexistence; Ratio dependent; Turing patterns

Indexed keywords


EID: 34347240931     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.01.089     Document Type: Article
Times cited : (38)

References (27)
  • 1
    • 0036141801 scopus 로고    scopus 로고
    • Mutual interference between predators can give rise to Turing spatial patterns
    • Alonso D., Bartumeus F., and Catalan J. Mutual interference between predators can give rise to Turing spatial patterns. Ecology 83 (2002) 28-34
    • (2002) Ecology , vol.83 , pp. 28-34
    • Alonso, D.1    Bartumeus, F.2    Catalan, J.3
  • 2
    • 0035368396 scopus 로고    scopus 로고
    • Self-organized spatial structures in a ratio-dependent predator-prey model
    • Bartumeus F., Alonso D., and Catalan J. Self-organized spatial structures in a ratio-dependent predator-prey model. Phys. A 295 (2001) 53-57
    • (2001) Phys. A , vol.295 , pp. 53-57
    • Bartumeus, F.1    Alonso, D.2    Catalan, J.3
  • 3
    • 0037976126 scopus 로고    scopus 로고
    • Practical persistence in diffusive food chain models
    • Memorial Conference in Differential Equations and Mathematical Biology. Butler G.J. (Ed). Edmonton, AB, 1996
    • Cantrell R.S., and Cosner C. Practical persistence in diffusive food chain models. In: Butler G.J. (Ed). Memorial Conference in Differential Equations and Mathematical Biology. Edmonton, AB, 1996. Natur. Resource Modeling 11 (1998) 21-34
    • (1998) Natur. Resource Modeling , vol.11 , pp. 21-34
    • Cantrell, R.S.1    Cosner, C.2
  • 4
    • 21344446602 scopus 로고    scopus 로고
    • Practical persistence in ecological models via comparison methods
    • Cantrell R.S., and Cosner C. Practical persistence in ecological models via comparison methods. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996) 247-272
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 247-272
    • Cantrell, R.S.1    Cosner, C.2
  • 5
    • 1542720931 scopus 로고    scopus 로고
    • Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
    • Chen W., and Peng R. Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model. J. Math. Anal. Appl. 291 (2004) 550-564
    • (2004) J. Math. Anal. Appl. , vol.291 , pp. 550-564
    • Chen, W.1    Peng, R.2
  • 6
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross M.C., and Hohenberg P.S. Pattern formation outside of equilibrium. Rev. Modern Phys. 65 (1993) 851-1112
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.S.2
  • 7
    • 0036647479 scopus 로고    scopus 로고
    • Dynamics of Lotka-Volterra competition systems with large interaction
    • Dancer E.N., and Zhang Z.T. Dynamics of Lotka-Volterra competition systems with large interaction. J. Differential Equations 182 (2002) 470-489
    • (2002) J. Differential Equations , vol.182 , pp. 470-489
    • Dancer, E.N.1    Zhang, Z.T.2
  • 8
    • 0010930219 scopus 로고
    • Permanence effect in a three-species food chain model
    • Feng W., and Lu X. Permanence effect in a three-species food chain model. Appl. Anal. 54 3-4 (1994) 195-209
    • (1994) Appl. Anal. , vol.54 , Issue.3-4 , pp. 195-209
    • Feng, W.1    Lu, X.2
  • 9
    • 84972500158 scopus 로고
    • Some coexistence and extinction results for a 3-species ecological system
    • Feng W., and Lu X. Some coexistence and extinction results for a 3-species ecological system. Differential Integral Equations 8 3 (1995) 617-626
    • (1995) Differential Integral Equations , vol.8 , Issue.3 , pp. 617-626
    • Feng, W.1    Lu, X.2
  • 10
    • 0017407813 scopus 로고
    • Mathematical analysis of some three-species food-chain models
    • Freedman H.I., and Waltman P. Mathematical analysis of some three-species food-chain models. Math. Biosci. 33 3-4 (1977) 257-276
    • (1977) Math. Biosci. , vol.33 , Issue.3-4 , pp. 257-276
    • Freedman, H.I.1    Waltman, P.2
  • 12
    • 0039978016 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer, New York
    • Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. vol. 840 (1993), Springer, New York
    • (1993) Lecture Notes in Math. , vol.840
    • Henry, D.1
  • 13
    • 38249033418 scopus 로고
    • Persistence in reaction-diffusion systems: Interaction of two predators and one prey
    • Hsiao L., and De Mottoni P. Persistence in reaction-diffusion systems: Interaction of two predators and one prey. Nonlinear Anal. 11 (1987) 877-891
    • (1987) Nonlinear Anal. , vol.11 , pp. 877-891
    • Hsiao, L.1    De Mottoni, P.2
  • 14
    • 0037210844 scopus 로고    scopus 로고
    • A ratio-dependent food chain model and its applications to biological control
    • Hsu S.B., Hwang T.W., and Kuang Y. A ratio-dependent food chain model and its applications to biological control. Math. Biosci. 181 1 (2003) 55-83
    • (2003) Math. Biosci. , vol.181 , Issue.1 , pp. 55-83
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 15
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predator-prey system
    • Kuang Y., and Beretta E. Global qualitative analysis of a ratio-dependent predator-prey system. J. Math. Biol. 36 4 (1998) 389-406
    • (1998) J. Math. Biol. , vol.36 , Issue.4 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 16
    • 0000154564 scopus 로고
    • Existence of steady-state solutions for a one-predator two-prey system
    • Lakos N. Existence of steady-state solutions for a one-predator two-prey system. SIAM J. Math. Anal. 21 (1990) 647-659
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 647-659
    • Lakos, N.1
  • 17
    • 0000495826 scopus 로고
    • A study of 3-species prey-predator reaction-diffusions by monotone schemes
    • Leung A. A study of 3-species prey-predator reaction-diffusions by monotone schemes. J. Math. Anal. Appl. 100 (1984) 583-604
    • (1984) J. Math. Anal. Appl. , vol.100 , pp. 583-604
    • Leung, A.1
  • 18
    • 0038489770 scopus 로고
    • Coexistence in a simple food chain with diffusion
    • López-Gómez J., and Pardo San Gil R. Coexistence in a simple food chain with diffusion. J. Math. Biol. 30 7 (1992) 655-668
    • (1992) J. Math. Biol. , vol.30 , Issue.7 , pp. 655-668
    • López-Gómez, J.1    Pardo San Gil, R.2
  • 19
    • 0030579038 scopus 로고    scopus 로고
    • Diffusion, self-diffusion and cross-diffusion
    • Lou Y., and Ni W.M. 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
  • 20
    • 0002542873 scopus 로고
    • Large amplitude stationary solutions to a chemotaxis system
    • Lin C.S., Ni W.M., and Takagi I. Large amplitude stationary solutions to a chemotaxis system. J. Differential Equations 72 (1988) 1-27
    • (1988) J. Differential Equations , vol.72 , pp. 1-27
    • Lin, C.S.1    Ni, W.M.2    Takagi, I.3
  • 21
    • 2342652224 scopus 로고    scopus 로고
    • Stability in a diffusive food-chain model with Michaelis-Menten functional response
    • Lin Z., and Pedersen M. Stability in a diffusive food-chain model with Michaelis-Menten functional response. Nonlinear Anal. 57 (2004) 421-433
    • (2004) Nonlinear Anal. , vol.57 , pp. 421-433
    • Lin, Z.1    Pedersen, M.2
  • 23
    • 2442652435 scopus 로고    scopus 로고
    • Strategy and stationary pattern in a three-species predator-prey model
    • Pang P.Y.H., and Wang M.X. Strategy and stationary pattern in a three-species predator-prey model. J. Differential Equations 200 (2004) 245-273
    • (2004) J. Differential Equations , vol.200 , pp. 245-273
    • Pang, P.Y.H.1    Wang, M.X.2
  • 26
    • 0002011401 scopus 로고
    • The chemical basis of morphogenesis
    • Turing A. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Ser. B 237 (1952) 37-72
    • (1952) Philos. Trans. R. Soc. Ser. B , vol.237 , pp. 37-72
    • Turing, A.1
  • 27
    • 0034376967 scopus 로고    scopus 로고
    • Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics
    • Wang X.F. Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics. SIAM J. Math. Anal. 31 (2000) 535-560
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 535-560
    • Wang, X.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.