메뉴 건너뛰기




Volumn 22, Issue 1, 2004, Pages 181-188

The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FRACTALS; FUNCTIONS; MATHEMATICAL MODELS; SOLITONS; THEOREM PROVING;

EID: 1842476842     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.01.007     Document Type: Article
Times cited : (81)

References (20)
  • 1
    • 0001377799 scopus 로고    scopus 로고
    • Coexistence states for periodic competitive Kolmogorov systems
    • Battaaz S., Zanolin F. Coexistence states for periodic competitive Kolmogorov systems. J. Math. Anal. Appl. 219:1998;179.
    • (1998) J. Math. Anal. Appl. , vol.219 , pp. 179
    • Battaaz, S.1    Zanolin, F.2
  • 2
    • 0006984133 scopus 로고
    • Globally asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy K. Globally asymptotic stability in a periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 24:1982;160.
    • (1982) J. Austral. Math. Soc. Ser. B , vol.24 , pp. 160
    • Gopalsamy, K.1
  • 3
    • 0032816634 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions of periodic n -species Lotka-Volterra competition systems with several deviating arguments
    • Fan M., Wang K., Jiang D. Existence and global attractivity of positive periodic solutions of periodic. n -species Lotka-Volterra competition systems with several deviating arguments Math. Biosci. 160:1999;47-61.
    • (1999) Math. Biosci. , vol.160 , pp. 47-61
    • Fan, M.1    Wang, K.2    Jiang, D.3
  • 4
    • 84966201997 scopus 로고
    • On the nonautonomous Lotka-Volterra competition equations
    • Ahmad S. On the nonautonomous Lotka-Volterra competition equations. Proc. Am. Math. Soc. 117:1993;199.
    • (1993) Proc. Am. Math. Soc. , vol.117 , pp. 199
    • Ahmad, S.1
  • 5
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competiting species model
    • Alvarez C., Lazer A.C. An application of topological degree to the periodic competiting species model. J. Austral. Math. Soc. Ser. B. 28:1986;202.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.28 , pp. 202
    • Alvarez, C.1    Lazer, A.C.2
  • 8
    • 0039466809 scopus 로고    scopus 로고
    • Existence, uniqueness and as asymptotic stability of periodic solutions of periodic functional differential systems
    • Tang B., Kuang Y. Existence, uniqueness and as asymptotic stability of periodic solutions of periodic functional differential systems. Toho. Math. J. 49(2):1997;217-239.
    • (1997) Toho. Math. J. , vol.49 , Issue.2 , pp. 217-239
    • Tang, B.1    Kuang, Y.2
  • 9
    • 0034196073 scopus 로고    scopus 로고
    • Periodic solutions for delay Lotka-Volterra competition systems
    • Li Y.K. Periodic solutions for delay Lotka-Volterra competition systems. J. Math. Anal. Appl. 246:2000;230-244.
    • (2000) J. Math. Anal. Appl. , vol.246 , pp. 230-244
    • Li, Y.K.1
  • 10
    • 0003248828 scopus 로고
    • Stability and oscillation in delay differential equations of population dynamics
    • Dordrecht: Kluwer Academic
    • Gopalsamy K. Stability and oscillation in delay differential equations of population dynamics. Mathematics and its Applications. vol. 74:1992;Kluwer Academic, Dordrecht.
    • (1992) Mathematics and Its Applications , vol.74
    • Gopalsamy, K.1
  • 11
    • 0036681280 scopus 로고    scopus 로고
    • Periodic solutions for delay differential equations model of plankton allelopathy
    • Jin Z., Zhien M. Periodic solutions for delay differential equations model of plankton allelopathy. Comput. Math. Appl. 44:2002;491-500.
    • (2002) Comput. Math. Appl. , vol.44 , pp. 491-500
    • Jin, Z.1    Zhien, M.2
  • 12
    • 0030078701 scopus 로고    scopus 로고
    • An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations
    • Yujun D., Erxin Z. An application of coincidence degree continuation theorem in existence of solutions of impulsive differential equations. J. Math. Anal. Appl. 197:1996;875-889.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 875-889
    • Yujun, D.1    Erxin, Z.2
  • 13
    • 0000598489 scopus 로고
    • Periodic solutions to ordinary differential equations with impulses
    • Li Y., Zhou Q. Periodic solutions to ordinary differential equations with impulses. Sci. China. 36(7):1993;778-790.
    • (1993) Sci. China , vol.36 , Issue.7 , pp. 778-790
    • Li, Y.1    Zhou, Q.2
  • 17
    • 0028559633 scopus 로고
    • Stability results for impulsive differential systems with applications to population growth models
    • Liu X. Stability results for impulsive differential systems with applications to population growth models. Dynamics and Stability of Systems. 9:1994;163-174.
    • (1994) Dynamics and Stability of Systems , vol.9 , pp. 163-174
    • Liu, X.1
  • 18
    • 0031468520 scopus 로고    scopus 로고
    • Permanence of population growth models with impulsive effects
    • Ballinger G., Liu X. Permanence of population growth models with impulsive effects. Math. Comput. Model. 26:1997;59-72.
    • (1997) Math. Comput. Model. , vol.26 , pp. 59-72
    • Ballinger, G.1    Liu, X.2
  • 19
    • 0034559503 scopus 로고    scopus 로고
    • Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation
    • Lenci S., Rega G. Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation. Chaos, Solitons & Fractals. 11:2000;2453-2472.
    • (2000) Chaos, Solitons & Fractals , vol.11 , pp. 2453-2472
    • Lenci, S.1    Rega, G.2
  • 20
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • Liu X., Chen L. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator. Chaos Solitons & Fractals. 16:2003;311-320.
    • (2003) Chaos Solitons & Fractals , vol.16 , pp. 311-320
    • Liu, X.1    Chen, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.