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Volumn 243, Issue 4, 2006, Pages 562-574

Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays

Author keywords

Almost periodic solution; Dispersion; Globally asymptotic stability; Hull; Time delay

Indexed keywords

DISPERSAL; LOTKA-VOLTERRA MODEL; PREDATOR-PREY INTERACTION;

EID: 33750740701     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2006.07.010     Document Type: Article
Times cited : (46)

References (28)
  • 1
    • 0031150106 scopus 로고    scopus 로고
    • Global asymptotic stability in a non-autonomous Lotka-Volterra type systems with infinite delay
    • Bereketoglu H., and Gyori I. Global asymptotic stability in a non-autonomous Lotka-Volterra type systems with infinite delay. J. Math. Anal. Appl. 210 (1997) 279-291
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 279-291
    • Bereketoglu, H.1    Gyori, I.2
  • 2
    • 12444252553 scopus 로고    scopus 로고
    • Persistence and global stability for non-autonomous cooperative system with diffusion and time delay
    • Chen F. Persistence and global stability for non-autonomous cooperative system with diffusion and time delay. Acta Scientiarum Naturalium Universitatis Pekinensis 39 (2003) 22-28
    • (2003) Acta Scientiarum Naturalium Universitatis Pekinensis , vol.39 , pp. 22-28
    • Chen, F.1
  • 3
    • 1542716847 scopus 로고    scopus 로고
    • Positive periodic solution for non-autonomous competition Lotka-Volterra patch system with time delay
    • Chen S., Wang T., and Zhang J. Positive periodic solution for non-autonomous competition Lotka-Volterra patch system with time delay. Nonlinear Anal.: Real World Appl. 5 (2004) 409-419
    • (2004) Nonlinear Anal.: Real World Appl. , vol.5 , pp. 409-419
    • Chen, S.1    Wang, T.2    Zhang, J.3
  • 4
    • 0033164522 scopus 로고    scopus 로고
    • The effects of habitat fragmentation and ecological invation on population sizes
    • Cui J. The effects of habitat fragmentation and ecological invation on population sizes. Appl. Math. Comput. 38 (1999) 1-11
    • (1999) Appl. Math. Comput. , vol.38 , pp. 1-11
    • Cui, J.1
  • 5
    • 0032142293 scopus 로고    scopus 로고
    • The effect of diffusion on the time varying logistic population growth
    • Cui J., and Chen L. The effect of diffusion on the time varying logistic population growth. Comput. Math. Appl. 36 3 (1998) 1-9
    • (1998) Comput. Math. Appl. , vol.36 , Issue.3 , pp. 1-9
    • Cui, J.1    Chen, L.2
  • 6
    • 0035877556 scopus 로고    scopus 로고
    • Permanence and extinction in logistic and Lotka-Volterra systems with diffusion
    • Cui J., and Chen L. Permanence 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
  • 7
    • 2342483169 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking
    • Fang H., and Wang Z. Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking. J. Math. Anal. Appl. 293 (2004) 190-209
    • (2004) J. Math. Anal. Appl. , vol.293 , pp. 190-209
    • Fang, H.1    Wang, Z.2
  • 11
    • 0036885532 scopus 로고    scopus 로고
    • Stability for a competitive Lotka-Volterra system with delays
    • Jin Z., and Ma Z. Stability for a competitive Lotka-Volterra system with delays. Nonlinear Anal. 51 (2002) 1131-1142
    • (2002) Nonlinear Anal. , vol.51 , pp. 1131-1142
    • Jin, Z.1    Ma, Z.2
  • 13
    • 0000793907 scopus 로고
    • Dispersion and population interactions
    • Levin S.A. Dispersion and population interactions. Am. Nat. 108 (1974) 207-228
    • (1974) Am. Nat. , vol.108 , pp. 207-228
    • Levin, S.A.1
  • 14
    • 0037054958 scopus 로고    scopus 로고
    • Permanence, extinction and balancing survival in non-autonomous Lotka-Volterra system with delays
    • Liu S., and Chen L. Permanence, extinction and balancing survival in non-autonomous Lotka-Volterra system with delays. Appl. Math. Comput. 129 (2002) 481-499
    • (2002) Appl. Math. Comput. , vol.129 , pp. 481-499
    • Liu, S.1    Chen, L.2
  • 15
    • 7444272640 scopus 로고    scopus 로고
    • Persistence and global stability in Lotka-Volterra delay differential systems
    • Muroya Y. Persistence and global stability in Lotka-Volterra delay differential systems. Appl. Math. Lett. 17 (2004) 795-800
    • (2004) Appl. Math. Lett. , vol.17 , pp. 795-800
    • Muroya, Y.1
  • 16
    • 0035217610 scopus 로고    scopus 로고
    • Conditions for global attractivity of n-patches predator-prey dispersion-delay models
    • Song X. Conditions for global attractivity of n-patches predator-prey dispersion-delay models. J. Math. Anal. Appl. 253 (2001) 1-15
    • (2001) J. Math. Anal. Appl. , vol.253 , pp. 1-15
    • Song, X.1
  • 17
    • 0029690373 scopus 로고    scopus 로고
    • Permanence in Kolmogorov type systems of non-autonomous functional differential equations
    • Tang B., and Kuang Y. Permanence in Kolmogorov type systems of non-autonomous functional differential equations. J. Math. Anal. Appl. 197 (1996) 427-447
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 427-447
    • Tang, B.1    Kuang, Y.2
  • 18
    • 0036496858 scopus 로고    scopus 로고
    • Nonautonomous Lotka-Volterra systems with delays
    • Teng Z. Nonautonomous Lotka-Volterra systems with delays. J. Differential Equations 179 (2002) 538-561
    • (2002) J. Differential Equations , vol.179 , pp. 538-561
    • Teng, Z.1
  • 19
    • 0006419374 scopus 로고    scopus 로고
    • The positive periodic solutions of periodic Kolmogorov type systems with delays
    • (in Chinese)
    • Teng Z., and Chen L. The positive periodic solutions of periodic Kolmogorov type systems with delays. Acta Math. Appl. Sinica 22 (1999) 446-456 (in Chinese)
    • (1999) Acta Math. Appl. Sinica , vol.22 , pp. 446-456
    • Teng, Z.1    Chen, L.2
  • 20
    • 0035347968 scopus 로고    scopus 로고
    • The effect of dispersal on single species non-autonomous dispersal models with delays
    • Teng Z., and Lu Z. The effect of dispersal on single species non-autonomous 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
  • 21
    • 0034649920 scopus 로고    scopus 로고
    • Some new results of non-autonomous Lotka-Volterra competitive systems with delays
    • Teng Z., and Yu Y. Some new results of non-autonomous Lotka-Volterra competitive systems with delays. J. Math. Anal. Appl. 241 (2000) 254-275
    • (2000) J. Math. Anal. Appl. , vol.241 , pp. 254-275
    • Teng, Z.1    Yu, Y.2
  • 22
    • 0000443866 scopus 로고
    • Global stability of Volterra-Lotka systems with delay
    • Wang L., and Zhang Y. Global stability of Volterra-Lotka systems with delay. Differential Equations Dynam. Syst. 3 (1995) 205-216
    • (1995) Differential Equations Dynam. Syst. , vol.3 , pp. 205-216
    • Wang, L.1    Zhang, Y.2
  • 23
    • 0000107735 scopus 로고
    • Global stability of a competition model with periodic coefficients and time delays
    • Wang W., Chen L., and Lu Z. Global stability of a competition model with periodic coefficients and time delays. Canad. Appl. Math. Q. 3 (1995) 365-378
    • (1995) Canad. Appl. Math. Q. , vol.3 , pp. 365-378
    • Wang, W.1    Chen, L.2    Lu, Z.3
  • 24
    • 33750696683 scopus 로고    scopus 로고
    • Permanence and periodic solution in an integrodifferential system with discrete diffusion
    • Xiao Y., Chen L., and Tang S. Permanence and periodic solution in an integrodifferential system with discrete diffusion. J. Syst. Sci. Complexity 16 (2003) 114-121
    • (2003) J. Syst. Sci. Complexity , vol.16 , pp. 114-121
    • Xiao, Y.1    Chen, L.2    Tang, S.3
  • 25
    • 33750693737 scopus 로고    scopus 로고
    • Almost periodic solution for a class of ecological systems with time delay
    • Xiong Y., and Wang K. Almost periodic solution for a class of ecological systems with time delay. Appl. Math. J. Chin. Univ. Ser. A 18 (2003) 163-170
    • (2003) Appl. Math. J. Chin. Univ. Ser. A , vol.18 , pp. 163-170
    • Xiong, Y.1    Wang, K.2
  • 26
    • 0347758643 scopus 로고    scopus 로고
    • Positive periodic solutions of neutral Lotka-Volterra system with periodic delays
    • Yang Z., and Cao J. Positive periodic solutions of neutral Lotka-Volterra system with periodic delays. Appl. Math. Comput. 149 (2004) 661-687
    • (2004) Appl. Math. Comput. , vol.149 , pp. 661-687
    • Yang, Z.1    Cao, J.2
  • 27
    • 0039652502 scopus 로고
    • Existence of almost periodic solution of functional differential equations
    • Yun R. Existence of almost periodic solution of functional differential equations. Ann. Differential Equations 7 (1991) 234-242
    • (1991) Ann. Differential Equations , vol.7 , pp. 234-242
    • Yun, R.1
  • 28
    • 0036151553 scopus 로고    scopus 로고
    • Periodic solution for a two-species non-autonomous competition Lotka-Volterra patch system with time delay
    • Zhang Z., and Wang Z. Periodic solution for a two-species non-autonomous competition Lotka-Volterra patch system with time delay. J. Math. Anal. Appl. 265 (2002) 38-48
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 38-48
    • Zhang, Z.1    Wang, Z.2


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