QUALITATIVE-ANALYSIS OF ONE-SPECIES OR 2-SPECIES NEUTRAL DELAY POPULATION-MODELS

被引:24
作者
KUANG, Y
机构
关键词
QUALITATIVE ANALYSIS; NEUTRAL DELAY EQUATION; PREDATOR-PREY SYSTEM; COMPETITION SYSTEM; DISTRIBUTED DELAY;
D O I
10.1137/0523009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper neutral delay models of single population growth, predator-prey, and competition interactions are introduced and investigated. These systems are more general than previous ones by allowing per capita growth rates to be nonlinear and delays to be of the general distributed type. Conditions are given for solutions of these systems to be bounded for proper initial functions. For neutral delay single population models, sufficient conditions for solutions tending to the positive steady states axe also presented.
引用
收藏
页码:181 / 200
页数:20
相关论文
共 30 条
[1]   A GENERALIZATION OF VOLTERRA MODELS WITH CONTINUOUS-TIME DELAY IN POPULATION-DYNAMICS - BOUNDEDNESS AND GLOBAL ASYMPTOTIC STABILITY [J].
BERETTA, E ;
SOLIMANO, F .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (03) :607-626
[2]  
CUSHING JM, 1977, LECTURE NOTES BIOMAT, V20
[3]  
Dunkel G., 1968, LECT NOTES MATH, V60, P92
[4]  
Freedman H. I., 1991, FUNKC EKVACIOJ-SER I, V34, P187
[5]   GLOBAL STABILITY IN TIME-DELAYED SINGLE-SPECIES DYNAMICS [J].
FREEDMAN, HI ;
GOPALSAMY, K .
BULLETIN OF MATHEMATICAL BIOLOGY, 1986, 48 (5-6) :485-492
[6]  
FREEDMAN HI, 1988, DETERMINISTIC MATH M
[7]   TIME LAGS AND GLOBAL STABILITY IN 2-SPECIES COMPETITION [J].
GOPALSAMY, K .
BULLETIN OF MATHEMATICAL BIOLOGY, 1980, 42 (05) :729-737
[8]  
GOPALSAMY K, EQUATIONS MATH ECO 1
[9]  
GOPALSAMY K, IN PRESS GLASGOW MAT
[10]  
Gopalsamy K., 1987, DYNAMICS STABILITY S, V2, P183, DOI DOI 10.1080/02681118808806037