A stochastic predator-prey model with delays

被引:2
作者
Du, Bo [1 ,2 ]
Wang, Yamin [3 ]
Lian, Xiuguo [1 ]
机构
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[3] Lianyungang Tech Coll, Dept Basis Course, Lianyungang 222006, Jiangsu, Peoples R China
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词
stochastic perturbation; global existence; ultimately bounded; POSITIVE PERIODIC-SOLUTIONS; VOLTERRA COMPETITION SYSTEMS; FUNCTIONAL-RESPONSES; MUTUAL INTERFERENCE; EXISTENCE; STABILITY;
D O I
10.1186/s13662-015-0483-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A stochastic delay predator-prey system is considered. Sufficient criteria for global existence, stochastically ultimately bounded in mean and almost surely asymptotic properties are obtained.
引用
收藏
页码:1 / 16
页数:16
相关论文
共 37 条
[1]  
[Anonymous], 1989, Biological Delay Systems: Linear Stability Theory
[2]   Stochastic delay Lotka-Volterra model [J].
Bahar, A ;
Mao, XR .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) :364-380
[3]   MUTUAL INTERFERENCE BETWEEN PARASITES OR PREDATORS AND ITS EFFECT ON SEARCHING EFFICIENCY [J].
BEDDINGTON, JR .
JOURNAL OF ANIMAL ECOLOGY, 1975, 44 (01) :331-340
[4]   FUNCTIONAL-RESPONSES AND INTERFERENCE WITHIN AND BETWEEN YEAR CLASSES OF A DRAGONFLY POPULATION [J].
CROWLEY, PH ;
MARTIN, EK .
JOURNAL OF THE NORTH AMERICAN BENTHOLOGICAL SOCIETY, 1989, 8 (03) :211-221
[5]   Positive periodic solutions in delayed Gause-type predator-prey systems [J].
Ding, Xiaoquan ;
Jiang, Jifa .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) :1220-1230
[6]  
Egami C., 2004, YOKOHAMA MATH J, V51, P45
[7]   Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments [J].
Fan, M ;
Wang, K ;
Jian, DQ .
MATHEMATICAL BIOSCIENCES, 1999, 160 (01) :47-61
[8]   Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response [J].
Fan, M ;
Kuang, Y .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (01) :15-39
[9]  
Gopalsamy K., 2013, STABILITY OSCILLATIO, V74
[10]   Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response [J].
Guo, Gaihui ;
Wu, Jianhua .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1632-1646