메뉴 건너뛰기




Volumn 206, Issue 1, 1997, Pages 191-204

Asymptotic behavior of a predator-prey system with diffusion and delays

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; NUMERICAL ANALYSIS; NUMERICAL METHODS;

EID: 0031060733     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5212     Document Type: Article
Times cited : (30)

References (24)
  • 1
    • 0000262789 scopus 로고
    • Global stability and predator dynamics in a model of prey dispersal in a patchy environment
    • 1. H. I. Freedman and Y. Takeuchi, Global stability and predator dynamics in a model of prey dispersal in a patchy environment, Nonlinear Anal. 13 (1989), 993-1002.
    • (1989) Nonlinear Anal. , vol.13 , pp. 993-1002
    • Freedman, H.I.1    Takeuchi, Y.2
  • 2
    • 0028359362 scopus 로고
    • Predator-prey dynamics in models of prey dispersal in two patch environments
    • 2. Y. Kuang and Y. Takeuchi, Predator-prey dynamics in models of prey dispersal in two patch environments, Math. Biosci. 120 (1994), 77-98.
    • (1994) Math. Biosci. , vol.120 , pp. 77-98
    • Kuang, Y.1    Takeuchi, Y.2
  • 3
    • 0000655047 scopus 로고
    • Permanence and global stability for coopeative Lotka-Volt-erra diffusion systems
    • 3. Zhengyi Lu and Y. Takeuchi, Permanence and global stability for coopeative Lotka-Volt-erra diffusion systems, Nonlinear Anal. 10 (1992), 963-975.
    • (1992) Nonlinear Anal. , vol.10 , pp. 963-975
    • Lu, Z.1    Takeuchi, Y.2
  • 4
    • 0000839494 scopus 로고
    • Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays
    • 4. 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
  • 5
    • 0000657160 scopus 로고
    • Single species migration in two habitats: Persistence and extinction
    • 5. 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
  • 6
    • 38249043753 scopus 로고
    • Mathematical models of population interactions with dispersal. II. Differential survival in a change of habitat
    • 6. H.I. Freedman, B. Rai, and P. Waltman, Mathematical models of population interactions with dispersal. II. Differential survival in a change of habitat, J. Math. Anal. Appl. 115 (1986), 140-154.
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 140-154
    • Freedman, H.I.1    Rai, B.2    Waltman, P.3
  • 7
    • 0000793907 scopus 로고
    • Dispersion and population interactions
    • 7. S. A. Levin, Dispersion and population interactions, Amer. Natur. 108 (1974), 207-228.
    • (1974) Amer. Natur. , vol.108 , pp. 207-228
    • Levin, S.A.1
  • 9
    • 0023083590 scopus 로고
    • Global stability of single species diffusion Volterra models with continuous time delays
    • 9. 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
  • 10
    • 84963388063 scopus 로고
    • Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment
    • 10. H. I. Freedman and Y. Takeuchi, Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment, Appl. Anal. 31 (1989), 247-266.
    • (1989) Appl. Anal. , vol.31 , pp. 247-266
    • Freedman, H.I.1    Takeuchi, Y.2
  • 11
    • 0003196710 scopus 로고
    • Integro-differential equations and delay models in population dynamics
    • Springer-Verlag, Berlin/Heidelberg/New York
    • 11. J. M. Gushing, Integro-differential equations and delay models in population dynamics, in "Lecture Notes in Biomathematics," Vol. 20, Springer-Verlag, Berlin/Heidelberg/New York, 1977.
    • (1977) Lecture Notes in Biomathematics , vol.20
    • Gushing, J.M.1
  • 12
    • 0001352326 scopus 로고
    • The tradeoff between mutual interference and time lags in predator-prey systems
    • 12. H. I. Freedman and V. S. H. Rao, The tradeoff between mutual interference and time lags in predator-prey systems, Bull. Math. Biol. 45 (1983), 991-1004.
    • (1983) Bull. Math. Biol. , vol.45 , pp. 991-1004
    • Freedman, H.I.1    Rao, V.S.H.2
  • 14
    • 0001882182 scopus 로고
    • Asymptotic behavior of solutions to a single loop positive feedback system
    • 14. J. F. Selgrade, Asymptotic behavior of solutions to a single loop positive feedback system, J. Differential Equations 38 (1980), 80-103.
    • (1980) J. Differential Equations , vol.38 , pp. 80-103
    • Selgrade, J.F.1
  • 15
    • 0010817326 scopus 로고
    • On the existence and uniqueness of connecting orbits
    • 15. J. F. Selgrade, On the existence and uniqueness of connecting orbits, Nonlinear Anal. 1 (1983), 1123-1125.
    • (1983) Nonlinear Anal. , vol.1 , pp. 1123-1125
    • Selgrade, J.F.1
  • 16
    • 0000802631 scopus 로고
    • Persistence in infinite-dimensional systems
    • 16. J. K. Hale and P. Waltman, Persistence in infinite-dimensional systems, SIAM J. Math. Anal. 20 (1989), 388-395.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 388-395
    • Hale, J.K.1    Waltman, P.2
  • 18
    • 44949279431 scopus 로고
    • Harmless delays for uniform persistence
    • 18. Wang Wendi and Mazhien, Harmless delays for uniform persistence, J. Math. Anal. Appl. 158 (1991), 256-268.
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 256-268
    • Wendi, W.1    Mazhien2
  • 19
    • 0000422030 scopus 로고
    • Uniform persistence in competition models
    • 19. Wang Wendi, Uniform persistence in competition models, J. Biomath. 2 (1991), 164-169.
    • (1991) J. Biomath. , vol.2 , pp. 164-169
    • Wendi, W.1
  • 20
    • 84972506380 scopus 로고
    • Uniform persistence for population models with delay using multiple Lyapunov functions
    • 20. C. Yulin and T. C. Gard, Uniform persistence for population models with delay using multiple Lyapunov functions, Differential Equations 6 (1993), 883-898.
    • (1993) Differential Equations , vol.6 , pp. 883-898
    • Yulin, C.1    Gard, T.C.2
  • 21
    • 0027329526 scopus 로고
    • Extinction in predator-prey models with time delay
    • 21. C. Yulin and T. C. Gard, Extinction in predator-prey models with time delay, Math. Biosci. 118 (1993), 197-210.
    • (1993) Math. Biosci. , vol.118 , pp. 197-210
    • Yulin, C.1    Gard, T.C.2
  • 24
    • 0001503284 scopus 로고
    • Coexistence in a model of competition in the chemostat incorporating discrete time delays
    • 24. H. I Freedman, J. So, and P. Waltman, Coexistence in a model of competition in the chemostat incorporating discrete time delays, SIAM J. Appl. Math. 49 (1989), 859-870.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 859-870
    • Freedman, H.I.1    So, J.2    Waltman, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.