Global analyses in some delayed ratio-dependent predator-prey systems

被引:276
作者
Beretta, E [1 ]
Kuang, Y
机构
[1] Univ Urbino, Ist Biomatemat, I-61029 Urbino, Italy
[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
基金
美国国家科学基金会;
关键词
global stability; predator-prey system; time delay; Liapunov functional; permanence;
D O I
10.1016/S0362-546X(97)00491-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:381 / 408
页数:28
相关论文
共 32 条
[21]   ON THE LOCATION AND PERIOD OF LIMIT-CYCLES IN GAUSE-TYPE PREDATOR-PREY SYSTEMS [J].
KUANG, Y .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 142 (01) :130-143
[22]   CONVERGENCE IN LOTKA-VOLTERRA-TYPE DELAY SYSTEMS WITHOUT INSTANTANEOUS FEEDBACKS [J].
KUANG, Y ;
SMITH, HL .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1993, 123 :45-58
[23]   CONVERGENCE IN LOTKA-VOLTERRA TYPE DIFFUSIVE DELAY SYSTEMS WITHOUT DOMINATING INSTANTANEOUS NEGATIVE FEEDBACKS [J].
KUANG, Y ;
SMITH, HL .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1993, 34 :471-494
[24]   GLOBAL STABILITY IN DELAY-DIFFERENTIAL SYSTEMS WITHOUT DOMINATING INSTANTANEOUS NEGATIVE FEEDBACKS [J].
KUANG, Y .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 119 (02) :503-532
[25]   LIMIT-CYCLES IN A CHEMOSTAT-RELATED MODEL [J].
KUANG, Y .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (06) :1759-1767
[26]  
KUANG Y, UNPUB GLOBAL ANAL GA
[27]  
Kuang Y., 1988, APPL ANAL, V29, P269, DOI DOI 10.1080/00036818808839785
[28]  
KUANG Y, 1993, SERIES MATH SCI, V191
[29]   EVALUATION OF NATURAL ENEMIES FOR BIOLOGICAL-CONTROL - A BEHAVIORAL-APPROACH [J].
LUCK, RF .
TRENDS IN ECOLOGY & EVOLUTION, 1990, 5 (06) :196-199
[30]  
May R. M., 1974, STABILITY COMPLEXITY