Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation

Li Zu; Daqing Jiang; Donal O’Regan

doi:10.21136/CMJ.2017.0350-15

Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation

Li Zu
, Daqing Jiang
, Donal O’Regan

Mathematics

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

2 Citations (Scopus)

Abstract

We consider a single-species stochastic logistic model with the population’s nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.

Original language	English
Pages (from-to)	867-890
Number of pages	24
Journal	Czechoslovak Mathematical Journal
Volume	67
Issue number	4
DOIs	https://doi.org/10.21136/CMJ.2017.0350-15
Publication status	Published - 1 Dec 2017

UN SDGs

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

SDG 15 Life on Land

Keywords

extinction
persistent in mean
stationary distribution
stochastic permanence

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10.21136/CMJ.2017.0350-15

Cite this

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title = "Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation",

abstract = "We consider a single-species stochastic logistic model with the population{\textquoteright}s nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.",

keywords = "extinction, persistent in mean, stationary distribution, stochastic permanence",

author = "Li Zu and Daqing Jiang and Donal O{\textquoteright}Regan",

note = "Publisher Copyright: {\textcopyright} 2017, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.",

year = "2017",

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T1 - Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation

AU - Zu, Li

AU - Jiang, Daqing

AU - O’Regan, Donal

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We consider a single-species stochastic logistic model with the population’s nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.

AB - We consider a single-species stochastic logistic model with the population’s nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.

KW - extinction

KW - persistent in mean

KW - stationary distribution

KW - stochastic permanence

UR - https://www.scopus.com/pages/publications/85032471377

U2 - 10.21136/CMJ.2017.0350-15

DO - 10.21136/CMJ.2017.0350-15

M3 - Article

AN - SCOPUS:85032471377

SN - 0011-4642

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SP - 867

EP - 890

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

IS - 4

ER -

Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation

Abstract

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Keywords

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