메뉴 건너뛰기
Journal of Mathematical Analysis and Applications
Volumn 330, Issue 1, 2007, Pages 24-33
Persistence and global stability in discrete models of Lotka-Volterra type
Author keywords

Discrete model of autonomous Lotka Volterra type; Global asymptotic stability; Persistence
Indexed keywords

EID: 33846923391     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.07.070     Document Type: Article
Times cited : (32)
References (10)
  • 1
    • 0032188337 scopus 로고    scopus 로고
    • Necessary and sufficient average growth in a Lotka-Volterra system
    • Ahmad S., and Lazer A.C. Necessary and sufficient average growth in a Lotka-Volterra system. Nonlinear Anal. 34 (1998) 191-228
    • (1998) Nonlinear Anal. , vol.34 , pp. 191-228
    • Ahmad, S.1    Lazer, A.C.2
  • 2
    • 0034172677 scopus 로고    scopus 로고
    • Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
    • Ahmad S., and Lazer A.C. Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system. Nonlinear Anal. 40 (2000) 37-49
    • (2000) Nonlinear Anal. , vol.40 , pp. 37-49
    • Ahmad, S.1    Lazer, A.C.2
  • 4
    • 0021226979 scopus 로고
    • Global asymptotic stability in Volterra's population systems
    • Gopalsamy K. Global asymptotic stability in Volterra's population systems. J. Math. Biol. 19 (1984) 157-168
    • (1984) J. Math. Biol. , vol.19 , pp. 157-168
    • Gopalsamy, K.1
  • 5
    • 7444226743 scopus 로고    scopus 로고
    • Persistence and global stability for nonautonomous Lotka-Volterra delay differential systems
    • Muroya Y. Persistence and global stability for nonautonomous Lotka-Volterra delay differential systems. Comm. Appl. Nonlinear Anal. 8 (2002) 31-45
    • (2002) Comm. Appl. Nonlinear Anal. , vol.8 , pp. 31-45
    • Muroya, Y.1
  • 6
    • 0037107098 scopus 로고    scopus 로고
    • Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type
    • Muroya Y. Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type. J. Math. Anal. Appl. 273 (2002) 492-511
    • (2002) J. Math. Anal. Appl. , vol.273 , pp. 492-511
    • Muroya, Y.1
  • 7
    • 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
  • 8
    • 0036537614 scopus 로고    scopus 로고
    • The necessary and sufficient condition for global stability of Lotka-Volterra cooperative or competition system with delays
    • Saito Y. The necessary and sufficient condition for global stability of Lotka-Volterra cooperative or competition system with delays. J. Math. Anal. Appl. 268 (2002) 109-124
    • (2002) J. Math. Anal. Appl. , vol.268 , pp. 109-124
    • Saito, Y.1
  • 9
    • 0000485661 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays
    • Saito Y., Hara T., and Ma W. Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays. J. Math. Anal. Appl. 236 (1999) 534-556
    • (1999) J. Math. Anal. Appl. , vol.236 , pp. 534-556
    • Saito, Y.1    Hara, T.2    Ma, W.3
  • 10
    • 0242630294 scopus 로고    scopus 로고
    • Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback
    • Xu R., and Chen L. Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback. J. Math. Anal. Appl. 262 (2001) 50-61
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 50-61
    • Xu, R.1    Chen, L.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.