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Volumn 7, Issue 2, 2006, Pages 235-247

Global stability of population models with patch structure

Author keywords

Extinction; Global stability; Patch; Periodic; Time delay

Indexed keywords

DELAY CIRCUITS; POPULATION STATISTICS;

EID: 28444459606     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2005.02.005     Document Type: Article
Times cited : (32)

References (30)
  • 1
    • 0023083590 scopus 로고
    • Global stability of single-species diffusion Volterra models with continuous time delays
    • E. Beretta, and Y. Takeuchi Global stability of single-species diffusion Volterra models with continuous time delays Bull. Math. Biol. 49 1987 431 448
    • (1987) Bull. Math. Biol. , vol.49 , pp. 431-448
    • Beretta, E.1    Takeuchi, Y.2
  • 2
    • 0000839494 scopus 로고
    • Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays
    • E. Beretta, and Y. Takeuchi Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays SIAM J. Appl. Math. 48 1988 627 651
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 627-651
    • Beretta, E.1    Takeuchi, Y.2
  • 3
    • 38249035528 scopus 로고
    • Global stability and periodic orbits for two patch predator-prey diffusion delay models
    • E. Beretta, F. Solimano, and Y. Takeuchi Global stability and periodic orbits for two patch predator-prey diffusion delay models Math. Biosci. 85 1987 153 183
    • (1987) Math. Biosci. , vol.85 , pp. 153-183
    • Beretta, E.1    Solimano, F.2    Takeuchi, Y.3
  • 4
    • 0035877556 scopus 로고    scopus 로고
    • Permanent and extinction in logistic and Lotka-Volterra systems with diffusion
    • J. Cui, and L. Chen Permanent and extinction in logistic and Lotka-Volterra systems with diffusion J. Math. Anal. Appl. 258 2001 512 535
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 512-535
    • Cui, J.1    Chen, L.2
  • 5
    • 4544243200 scopus 로고    scopus 로고
    • Permanent and extinction for dispersal population systems
    • J. Cui, Y. Takeuchi, and Z. Lin Permanent and extinction for dispersal population systems J. Math. Anal. Appl. 298 2004 73 93
    • (2004) J. Math. Anal. Appl. , vol.298 , pp. 73-93
    • Cui, J.1    Takeuchi, Y.2    Lin, Z.3
  • 7
    • 0000657160 scopus 로고
    • Single species migration in two habitats: Persistence and extinction
    • H.I. Freedman Single species migration in two habitats: persistence and extinction Math. Model. 8 1987 778 780
    • (1987) Math. Model. , vol.8 , pp. 778-780
    • Freedman, H.I.1
  • 8
    • 0000262789 scopus 로고
    • Global stability and predator dynamics in a model of prey dispersal in a patchy environment
    • H.I. Freedman, and Y. Takeuchi Global stability and predator dynamics in a model of prey dispersal in a patchy environment Nonlinear Anal. TMA 13 1989 993 1002
    • (1989) Nonlinear Anal. TMA , vol.13 , pp. 993-1002
    • Freedman, H.I.1    Takeuchi, Y.2
  • 9
    • 0001363099 scopus 로고
    • Mathematical models of population interaction with dispersal, I: Stability of two habitats with and without a predator
    • H.I. Freedman, and P. Waltman Mathematical models of population interaction with dispersal, I: Stability of two habitats with and without a predator SIAM J. Math. 32 1977 631 648
    • (1977) SIAM J. Math. , vol.32 , pp. 631-648
    • Freedman, H.I.1    Waltman, P.2
  • 11
    • 0017522059 scopus 로고
    • Spatial heterogeneity and the stability of predator prey systems
    • A. Hastings Spatial heterogeneity and the stability of predator prey systems Theoret. Popul. Biol. 12 1977 37 48
    • (1977) Theoret. Popul. Biol. , vol.12 , pp. 37-48
    • Hastings, A.1
  • 13
    • 0028359362 scopus 로고
    • Predator-prey dynamics in models of prey dispersal in two-patch environment
    • Y. Kuang, and Y. Takeuchi Predator-prey dynamics in models of prey dispersal in two-patch environment Math. Biosci. 120 1994 77 98
    • (1994) Math. Biosci. , vol.120 , pp. 77-98
    • Kuang, Y.1    Takeuchi, Y.2
  • 14
    • 0000793907 scopus 로고
    • Dispersion and population interactions
    • S. Levin Dispersion and population interactions Am. Nat. 108 1974 207 228
    • (1974) Am. Nat. , vol.108 , pp. 207-228
    • Levin, S.1
  • 15
    • 0002246746 scopus 로고
    • Global asymptotic behavior in single-species discrete diffusion systems
    • Z. Lu, and Y. Takeuchi Global asymptotic behavior in single-species discrete diffusion systems J. Math. Biol. 32 1993 67 77
    • (1993) J. Math. Biol. , vol.32 , pp. 67-77
    • Lu, Z.1    Takeuchi, Y.2
  • 16
    • 0003270907 scopus 로고
    • Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems
    • American Mathematical Society, Providence, RI
    • H.L. Smith, Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems, Math Surveys and Monographs 41, American Mathematical Society, Providence, RI, 1995.
    • (1995) Math Surveys and Monographs , vol.41
    • Smith, H.L.1
  • 19
    • 38249040904 scopus 로고
    • Global stability in generalized Lotka-Volterra diffusion systems
    • Y. Takeuchi Global stability in generalized Lotka-Volterra diffusion systems J. Math. Anal. Appl. 116 1986 209 221
    • (1986) J. Math. Anal. Appl. , vol.116 , pp. 209-221
    • Takeuchi, Y.1
  • 20
    • 0022870590 scopus 로고
    • Diffusion effect on stability of Lotka-Volterra model
    • Y. Takeuchi Diffusion effect on stability of Lotka-Volterra model Bull. Math. Biol. 46 1986 585 601
    • (1986) Bull. Math. Biol. , vol.46 , pp. 585-601
    • Takeuchi, Y.1
  • 21
    • 0002296770 scopus 로고
    • Cooperative system theory and global stability of diffusion models
    • Y. Takeuchi Cooperative system theory and global stability of diffusion models Acta Appl. Math. 14 1989 49 57
    • (1989) Acta Appl. Math. , vol.14 , pp. 49-57
    • Takeuchi, Y.1
  • 22
    • 0024689676 scopus 로고
    • Diffusion-mediated persistence in two-species competition Lotka-Volterra model
    • Y. Takeuchi Diffusion-mediated persistence in two-species competition Lotka-Volterra model Math. Biosci. 95 1989 65 83
    • (1989) Math. Biosci. , vol.95 , pp. 65-83
    • Takeuchi, Y.1
  • 23
    • 0025162583 scopus 로고
    • Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
    • Y. Takeuchi Conflict between the need to forage and the need to avoid competition: persistence of two-species model Math. Biosci. 99 1990 181 194
    • (1990) Math. Biosci. , vol.99 , pp. 181-194
    • Takeuchi, Y.1
  • 26
    • 0035347968 scopus 로고    scopus 로고
    • The effect of dispersal on single-species nonautonomous dispersal models with delays
    • Z. Teng, and Z. Lu The effect of dispersal on single-species nonautonomous dispersal models with delays J. Math. Biol. 42 2001 439 454
    • (2001) J. Math. Biol. , vol.42 , pp. 439-454
    • Teng, Z.1    Lu, Z.2
  • 27
    • 0001028228 scopus 로고    scopus 로고
    • Global stability of a population dispersal in a two-patch environment
    • W. Wang, and L. Chen Global stability of a population dispersal in a two-patch environment Dyn. Syst. Appl. 6 1997 207 216
    • (1997) Dyn. Syst. Appl. , vol.6 , pp. 207-216
    • Wang, W.1    Chen, L.2
  • 28
    • 0031176622 scopus 로고    scopus 로고
    • Global attractivity of periodic solutions of population models
    • W. Wang, P. Fergola, and C. Tenneriello Global attractivity of periodic solutions of population models J. Math. Anal. Appl. 211 1997 498 511
    • (1997) J. Math. Anal. Appl. , vol.211 , pp. 498-511
    • Wang, W.1    Fergola, P.2    Tenneriello, C.3
  • 29
    • 4344644299 scopus 로고    scopus 로고
    • Dynamical systems in population biology
    • Springer, New York
    • Z. Xiao-Qiang, Dynamical Systems in Population Biology, CMS Books in Mathematics, vol. 16, Springer, New York, 2003.
    • (2003) CMS Books in Mathematics , vol.16
    • Xiao-Qiang, Z.1
  • 30
    • 0013174737 scopus 로고    scopus 로고
    • Global asymptotic behavior in some cooperative systems of functional differential equations
    • Z. Xiao-Qiang, and J. Zhujun Global asymptotic behavior in some cooperative systems of functional differential equations Can. Appl. Math. Quart. 4 1996 421 444
    • (1996) Can. Appl. Math. Quart. , vol.4 , pp. 421-444
    • Xiao-Qiang, Z.1    Zhujun, J.2


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