DYNAMIC BEHAVIOR OF A STOCHASTIC PREDATOR-PREY SYSTEM UNDER REGIME SWITCHING

被引：2

作者：

Nguyen Huu Du ^{[1
]}

Nguyen Thanh Dieu ^{[2
]}

Tran Dinh Tuong ^{[3
]}

机构：

[1] Univ Sci VNU, Fac Math Mech & Informat, 334 Nguyen Trai, Hanoi, Vietnam

[2] Vinh Univ, Dept Math, 182 Le Duan, Vinh, Nghe An, Vietnam

[3] Ho Chi Minh Univ Transport, Fac Basic Sci, 2 D3, Ho Chi Minh, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 09期

关键词：

Asymptotic behavior; ergodicity; regime switching diffusion; stationary distribution; LOTKA-VOLTERRA; ASYMPTOTIC-BEHAVIOR; DIFFERENTIAL-EQUATIONS; KOLMOGOROV SYSTEMS; MODEL; ENVIRONMENTS; STABILITY; NOISE;

D O I：

10.3934/dcdsb.2017176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with regime switching predator-prey models perturbed by white noise. We give a threshold by which we know whenever a switching predator-prey system is eventually extinct or permanent. We also give some numerical solutions to illustrate that under the regime switching, the permanence or extinction of the switching system may be very different from the dynamics in each fixed state.

引用

页码：3483 / 3498

页数：16

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