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Volumn 157, Issue 2, 2004, Pages 449-475

Existence and global attractivity of an almost periodic ecological model

Author keywords

Almost periodic solution; Global attractivity; Lotka Volterra model; Predator prey system

Indexed keywords

ALMOST PERIODIC SOLUTION; GLOBAL ATTRACTIVITY; LOTKA-VOLTERRA MODEL; PREDATOR-PREY SYSTEM;

EID: 4444258456     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.08.045     Document Type: Article
Times cited : (34)

References (25)
  • 2
    • 0019495964 scopus 로고
    • Competition system with periodic coefficients: A geometric approach
    • de Mottoni P., Schiaffino A. Competition system with periodic coefficients: a geometric approach. J. Math. Biol. 11:1981;319-335.
    • (1981) J. Math. Biol. , vol.11 , pp. 319-335
    • De Mottoni, P.1    Schiaffino, A.2
  • 3
    • 0022885160 scopus 로고
    • Two species competition in a periodic environment
    • Cushing J.M. Two species competition in a periodic environment. J. Math. Biol. 24:1986;381-403.
    • (1986) J. Math. Biol. , vol.24 , pp. 381-403
    • Cushing, J.M.1
  • 4
    • 0019202916 scopus 로고
    • Periodic Lotka-Volterra competition equations
    • Cushing J.M. Periodic Lotka-Volterra competition equations. J. Math. Biol. 10:1980;385-400.
    • (1980) J. Math. Biol. , vol.10 , pp. 385-400
    • Cushing, J.M.1
  • 5
    • 0041786432 scopus 로고
    • Convergence and ultimate bounds of solutions of nonautonomous Volterra-Lotka competition equations
    • Ahmad S. Convergence and ultimate bounds of solutions of nonautonomous Volterra-Lotka competition equations. J. Math. Anal. Appl. 127:1987;377-387.
    • (1987) J. Math. Anal. Appl. , vol.127 , pp. 377-387
    • Ahmad, S.1
  • 6
    • 0000489739 scopus 로고
    • On almost periodic solutions of the competing species problems
    • Ahmad S. On almost periodic solutions of the competing species problems. Proc. Am. Math. 102:1988;855-865.
    • (1988) Proc. Am. Math. , vol.102 , pp. 855-865
    • Ahmad, S.1
  • 7
    • 84966201997 scopus 로고
    • On nonautonomous Volterra-Lotka competition equations
    • Ahmad S. On nonautonomous Volterra-Lotka competition equations. Proc. Am. Math. 177:1993;199-204.
    • (1993) Proc. Am. Math. , vol.177 , pp. 199-204
    • Ahmad, S.1
  • 8
    • 0006984133 scopus 로고
    • Exchange of equilibria in two species Lotka-Volterra competition models
    • Gopalsamy K. Exchange of equilibria in two species Lotka-Volterra competition models. J. Austral. Math. Soc. Ser. B. 24:1982;160-170.
    • (1982) J. Austral. Math. Soc. Ser. B , vol.24 , pp. 160-170
    • Gopalsamy, K.1
  • 9
    • 0002552405 scopus 로고
    • Global asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy K. Global asymptotic stability in a periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 27:1985;66-72.
    • (1985) J. Austral. Math. Soc. Ser. B , vol.27 , pp. 66-72
    • Gopalsamy, K.1
  • 10
    • 0002552406 scopus 로고
    • Global asymptotic stability in a almost periodic Lotka-Volterra system
    • Gopalsamy K. Global asymptotic stability in a almost periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 27:1986;346-360.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.27 , pp. 346-360
    • Gopalsamy, K.1
  • 11
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competing species problem
    • Alvarz C., Lazer A.C. An application of topological degree to the periodic competing species problem. J. Austral. Math. Soc. Ser. B. 28:1986;202-219.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.28 , pp. 202-219
    • Alvarz, C.1    Lazer, A.C.2
  • 12
    • 0001859202 scopus 로고
    • A defferent consideration about the globally asymptotically stable solution of the periodic n-competing species problem
    • Tineo A., Alvarz C. A defferent consideration about the globally asymptotically stable solution of the periodic n-competing species problem. J. Math. Anal. Appl. 159:1991;44-45.
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 44-45
    • Tineo, A.1    Alvarz, C.2
  • 13
    • 84963164605 scopus 로고
    • Asymptotic behavior of predator-prey system with time dependent coefficients
    • Ma Z., Wang W. Asymptotic behavior of predator-prey system with time dependent coefficients. Appl. Anal. 34:1989;79-90.
    • (1989) Appl. Anal. , vol.34 , pp. 79-90
    • Ma, Z.1    Wang, W.2
  • 14
    • 4444282413 scopus 로고
    • The mathematical behavior of a Volterra predator-prey model with undercrowing effect
    • Chen L., Li H. The mathematical behavior of a Volterra predator-prey model with undercrowing effect. Ann. Diff. Equat. 11(1):1995;14-19.
    • (1995) Ann. Diff. Equat. , vol.11 , Issue.1 , pp. 14-19
    • Chen, L.1    Li, H.2
  • 15
    • 51249168083 scopus 로고
    • Global asymptotic stability of the periodic Lotka-Volterra system with two-predator and one prey
    • Lu Z., Chen L. Global asymptotic stability of the periodic Lotka-Volterra system with two-predator and one prey. Appl. Math. J. Chinese Univ. Ser. B. 10:1995;267-274.
    • (1995) Appl. Math. J. Chinese Univ. Ser. B , vol.10 , pp. 267-274
    • Lu, Z.1    Chen, L.2
  • 16
    • 4444239399 scopus 로고
    • Analysis of the periodic Lotka-Volterra three species mixed model
    • in Chinese
    • Lu Z., Chen L. Analysis of the periodic Lotka-Volterra three species mixed model. Pure Appl. Math. 11(2):1995;81-85. (in Chinese).
    • (1995) Pure Appl. Math. , vol.11 , Issue.2 , pp. 81-85
    • Lu, Z.1    Chen, L.2
  • 17
    • 0042995339 scopus 로고    scopus 로고
    • Global attractivity of the periodic Lotka-Volterra system
    • Yang P., Xu R. Global attractivity of the periodic Lotka-Volterra system. J. Math. Anal. Appl. 233:1999;221-232.
    • (1999) J. Math. Anal. Appl. , vol.233 , pp. 221-232
    • Yang, P.1    Xu, R.2
  • 18
    • 0141920791 scopus 로고    scopus 로고
    • Global asymptotic stability of a periodic ecological model
    • in press
    • J. Zhao and W. Chen, Global asymptotic stability of a periodic ecological model, Appl. Math. Comput. (in press).
    • Appl. Math. Comput.
    • Zhao, J.1    Chen, W.2
  • 19
    • 0003462755 scopus 로고
    • Stability theory for the existence of periodic solutions and almost-periodic solutions
    • Springer-Verlag: New York
    • Yoshizawa T. Stability theory for the existence of periodic solutions and almost-periodic solutions. Applied Mathematical Sciences. Vol. 14:1975;New York, Springer-Verlag.
    • (1975) Applied Mathematical Sciences , vol.14
    • Yoshizawa, T.1
  • 20
    • 4444338596 scopus 로고    scopus 로고
    • Periodic solution of nonlinear integral-differential equations with infinite delay
    • in Chinese
    • Chen F. Periodic solution of nonlinear integral-differential equations with infinite delay. Acta Math. Appl. Sin. 26(1):2003;1-8. (in Chinese).
    • (2003) Acta Math. Appl. Sin. , vol.26 , Issue.1 , pp. 1-8
    • Chen, F.1
  • 21
    • 4444259157 scopus 로고    scopus 로고
    • Periodic solution of higher order non-autonomous systems
    • in Chinese
    • Chen F., Shi J. Periodic solution of higher order non-autonomous systems. Acta Math. Sin. 42(2):2000;271-280. (in Chinese).
    • (2000) Acta Math. Sin. , vol.42 , Issue.2 , pp. 271-280
    • Chen, F.1    Shi, J.2
  • 22
    • 0037431453 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for BAM neural networks with delays
    • Chen A., Huang L., Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Appl. Math. Comput. 137:2003;177-193.
    • (2003) Appl. Math. Comput. , vol.137 , pp. 177-193
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 23
    • 0037427557 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients
    • Chen A., Cao J. Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients. Appl. Math. Comput. 134:2003;125-140.
    • (2003) Appl. Math. Comput. , vol.134 , pp. 125-140
    • Chen, A.1    Cao, J.2
  • 24
    • 0037054956 scopus 로고    scopus 로고
    • Discussion of periodic solutions for pth order delayed NDEs
    • He G., Cao J. Discussion of periodic solutions for. p th order delayed NDEs Appl. Math. Comput. 129(2-3):2002;391-405.
    • (2002) Appl. Math. Comput. , vol.129 , Issue.2-3 , pp. 391-405
    • He, G.1    Cao, J.2
  • 25
    • 0037102880 scopus 로고    scopus 로고
    • Periodic solutions of the higher dimensional non-autonomous system
    • Cao J., Li Q., Wan S. Periodic solutions of the higher dimensional non-autonomous system. Appl. Math. Comput. 130(2-3):2002;369-383.
    • (2002) Appl. Math. Comput. , vol.130 , Issue.2-3 , pp. 369-383
    • Cao, J.1    Li, Q.2    Wan, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.