Dynamical behavior of a competitive system under the influence of random disturbance and toxic substances

Ruihua Wu; Xiaoling Zou; Ke Wang

doi:10.1007/s11071-014-1371-8

Dynamical behavior of a competitive system under the influence of random disturbance and toxic substances

Ruihua Wu
, Xiaoling Zou^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
China University of Petroleum (East China)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A two-species competitive system under the influence of random disturbance and toxic substances is studied theoretically and numerically. The existence of a stationary distribution, extinction, and stability of this model are considered. Our results show that both the environmental disturbance and toxic substances can destabilize biological populations. A set of sufficient conditions which guarantee that one of the species is driven to extinction while the other is stable in the mean is illustrated. Numerical simulations are also presented to illustrate the feasibility of our main results.

Original language	English
Pages (from-to)	1209-1222
Number of pages	14
Journal	Nonlinear Dynamics
Volume	77
Issue number	4
DOIs	https://doi.org/10.1007/s11071-014-1371-8
State	Published - Sep 2014
Externally published	Yes

Keywords

Extinction
Stability
Stationary distribution
Stochastic system
Toxicology

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10.1007/s11071-014-1371-8

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abstract = "A two-species competitive system under the influence of random disturbance and toxic substances is studied theoretically and numerically. The existence of a stationary distribution, extinction, and stability of this model are considered. Our results show that both the environmental disturbance and toxic substances can destabilize biological populations. A set of sufficient conditions which guarantee that one of the species is driven to extinction while the other is stable in the mean is illustrated. Numerical simulations are also presented to illustrate the feasibility of our main results.",

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AU - Wu, Ruihua

AU - Zou, Xiaoling

AU - Wang, Ke

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N2 - A two-species competitive system under the influence of random disturbance and toxic substances is studied theoretically and numerically. The existence of a stationary distribution, extinction, and stability of this model are considered. Our results show that both the environmental disturbance and toxic substances can destabilize biological populations. A set of sufficient conditions which guarantee that one of the species is driven to extinction while the other is stable in the mean is illustrated. Numerical simulations are also presented to illustrate the feasibility of our main results.

AB - A two-species competitive system under the influence of random disturbance and toxic substances is studied theoretically and numerically. The existence of a stationary distribution, extinction, and stability of this model are considered. Our results show that both the environmental disturbance and toxic substances can destabilize biological populations. A set of sufficient conditions which guarantee that one of the species is driven to extinction while the other is stable in the mean is illustrated. Numerical simulations are also presented to illustrate the feasibility of our main results.

KW - Extinction

KW - Stability

KW - Stationary distribution

KW - Stochastic system

KW - Toxicology

UR - https://www.scopus.com/pages/publications/84897121872

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M3 - 文章

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SP - 1209

EP - 1222

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

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ER -

Dynamical behavior of a competitive system under the influence of random disturbance and toxic substances

Abstract

Keywords

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