Dynamical Behavior for a Stochastic Predator-Prey Model with HV Type Functional Response

被引：11

作者：

Du, Bo ^{[1
]}

Hu, Maolin ^{[1
]}

Lian, Xiuguo ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 01期

关键词：

Hassell-Varley type functional response; Delay; Existence; Stability; NEURAL-NETWORKS; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; CONTINUOUS-TIME; DISCRETE; DELAYS; SYSTEM;

D O I：

10.1007/s40840-016-0325-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes the existence-and-uniqueness theorem of a stochastic delayed predator-prey model with Hassell-Varley type functional response and examines stochastically ultimate boundedness, extinction and global asymptotic stability of this solution. It is interesting to note that the results are based on time-varying delay, which is different from the previous work (the results are delay-independent). Some numerical simulations are introduced to support the analytical findings.

引用

页码：487 / 503

页数：17