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

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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.

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

Keywords

Environment noise
Extinction
Persistent in mean
Stochastic permanence

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

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10.1007/s12190-013-0669-x

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title = "Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching",

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

PY - 2013/10

Y1 - 2013/10

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

SN - 1598-5865

VL - 43

SP - 387

EP - 407

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

Keywords

UN SDGs

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