Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching

Li Zu; Daqing Jiang; Donal O'Regan

doi:10.1007/s12190-013-0669-x

Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching

Li Zu
, Daqing Jiang
, Donal O'Regan

Mathematics

Northeast Normal University
Changchun University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

Taking both white noise and colored environmental noise into account, a single-species logistic model with population's nonlinear diffusion among two patches is proposed and investigated. The sufficient conditions of the existence of positive solutions, stochastic permanence, persistence in mean and extinction are established. Moreover, we use an example and simulation figures to illustrate our main results.

Original language	English
Pages (from-to)	387-407
Number of pages	21
Journal	Journal of Applied Mathematics and Computing
Volume	43
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-013-0669-x
Publication status	Published - Oct 2013

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Environment noise
Extinction
Persistent in mean
Stochastic permanence

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10.1007/s12190-013-0669-x

Cite this

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abstract = "Taking both white noise and colored environmental noise into account, a single-species logistic model with population's nonlinear diffusion among two patches is proposed and investigated. The sufficient conditions of the existence of positive solutions, stochastic permanence, persistence in mean and extinction are established. Moreover, we use an example and simulation figures to illustrate our main results.",

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AU - Zu, Li

AU - Jiang, Daqing

AU - O'Regan, Donal

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N2 - Taking both white noise and colored environmental noise into account, a single-species logistic model with population's nonlinear diffusion among two patches is proposed and investigated. The sufficient conditions of the existence of positive solutions, stochastic permanence, persistence in mean and extinction are established. Moreover, we use an example and simulation figures to illustrate our main results.

AB - Taking both white noise and colored environmental noise into account, a single-species logistic model with population's nonlinear diffusion among two patches is proposed and investigated. The sufficient conditions of the existence of positive solutions, stochastic permanence, persistence in mean and extinction are established. Moreover, we use an example and simulation figures to illustrate our main results.

KW - Environment noise

KW - Extinction

KW - Persistent in mean

KW - Stochastic permanence

UR - https://www.scopus.com/pages/publications/84883815888

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DO - 10.1007/s12190-013-0669-x

M3 - Article

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VL - 43

SP - 387

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JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching

Abstract

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Keywords

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