Effects of dispersal for a logistic growth population in random environments

Xiaoling Zou; Dejun Fan; Ke Wang

doi:10.1155/2013/912579

Effects of dispersal for a logistic growth population in random environments

Xiaoling Zou
, Dejun Fan^*
, Ke Wang

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Northeast Normal University

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

7 Scopus citations

Abstract

We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem.

Original language	English
Article number	912579
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/912579
State	Published - 2013
Externally published	Yes

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title = "Effects of dispersal for a logistic growth population in random environments",

abstract = "We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem.",

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AU - Zou, Xiaoling

AU - Fan, Dejun

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AB - We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem.

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U2 - 10.1155/2013/912579

DO - 10.1155/2013/912579

M3 - 文章

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SN - 1085-3375

VL - 2013

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 912579

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Effects of dispersal for a logistic growth population in random environments

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