DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL

被引：9
|
作者：
Nguyen Thi Hoai Linh [1 ]
Ta Viet Ton [2 ,3 ]
机构：
[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Informat & Phys Sci, Suita, Osaka 5650871, Japan
[2] Hanoi Univ Sci, Dept Math Mech & Informat, Hanoi, Vietnam
[3] Osaka Univ, Grad Sch Engn, Dept Appl Phys, Suita, Osaka 5650871, Japan
来源：
ANALYSIS AND APPLICATIONS | 2011年 / 9卷 / 03期
关键词：
Predator-prey model; ratio-dependent functional response; stochastic differential equation; moment boundedness; asymptotic behavior;
D O I：
10.1142/S0219530511001868
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a stochastic ratio-dependent predator-prey model. We firstly prove the existence, uniqueness and positivity of the solutions. Then, the boundedness of moments of population are studied. Finally, we show the upper-growth rates and exponential death rates of population under some conditions.
引用
收藏
页码：329 / 344
页数：16
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