PERSISTENCE, STABILITY AND LEVEL-CROSSINGS IN AN INTEGRODIFFERENTIAL SYSTEM

被引:6
|
作者
HE, XZ
GOPALSAMY, K
机构
[1] School of Information Science and Technology, Flinders University, Adelaide, South Australia, 5001
关键词
UNIFORM PERSISTENCE; STABILITY; LYAPUNOV FUNCTIONAL; LEVEL-CROSSING;
D O I
10.1007/BF00160166
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Dynamical characteristics of an integrodifferential system modelling two species competition with hereditary effects are investigated; in particular we derive sufficient conditions for the persistence of the species, existence of an attracting periodic solution and 'level-crossings' of solutions about the periodic solution.
引用
收藏
页码:395 / 426
页数:32
相关论文
共 50 条
  • [1] GLOBAL ATTRACTIVITY AND LEVEL-CROSSINGS IN A PERIODIC LOGISTIC INTEGRODIFFERENTIAL EQUATION
    GOPALSAMY, K
    HE, XZ
    WEN, LZ
    [J]. MATHEMATISCHE NACHRICHTEN, 1992, 156 : 25 - 44
  • [2] GLOBAL ATTRACTIVITY AND LEVEL-CROSSINGS IN A PERIODIC PARTIAL INTEGRODIFFERENTIAL EQUATION
    GOPALSAMY, K
    WENG, PX
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 1992, 18 (04): : 551 - 575
  • [3] LEVEL-CROSSINGS
    不详
    [J]. FRENCH RAILWAY TECHNIQUES, 1977, (03): : 117 - 122
  • [4] TOPOLOGY OF LEVEL-CROSSINGS
    KUSNEZOV, D
    [J]. PHYSICS LETTERS B, 1993, 319 (04) : 381 - 386
  • [5] A NEW WARNING SYSTEM FOR PROTECTED LEVEL-CROSSINGS
    HAGA, S
    WATANABE, K
    KUSUKAMI, K
    [J]. PROCEEDINGS OF THE HUMAN FACTORS SOCIETY 33RD ANNUAL MEETING, VOL 2, 1989, : 975 - 978
  • [6] LEVEL-CROSSINGS OF A CAUCHY PROCESS
    PITMAN, J
    YOR, M
    [J]. ANNALS OF PROBABILITY, 1986, 14 (03): : 780 - 792
  • [7] Multimodal Cooperative ITS Safety System at Level-Crossings
    Salanova, Josep M.
    Boufidis, Neofytos
    Aifadopoulou, Georgia
    Tzenos, Panagiotis
    Tolikas, Thanasis
    [J]. 2020 IEEE 23RD INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS (ITSC), 2020,
  • [8] CHAOS AND AVOIDED LEVEL-CROSSINGS
    LATKA, M
    GRIGOLINI, P
    WEST, BJ
    [J]. PHYSICAL REVIEW E, 1994, 50 (01): : 596 - 599
  • [9] LEVEL-CROSSINGS OF THE EMPIRICAL PROCESS
    KHOSHNEVISAN, D
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 43 (02) : 331 - 343
  • [10] LEVEL-CROSSINGS OF A CONSTRUCTED PROCESS
    SHARPE, K
    [J]. JOURNAL OF APPLIED PROBABILITY, 1979, 16 (01) : 206 - 212