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

Li Zu; Daqing Jiang; Donal O'Regan

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 4, page 867-890
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Zu, Li, Jiang, Daqing, and O'Regan, Donal. "Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation." Czechoslovak Mathematical Journal 67.4 (2017): 867-890. <http://eudml.org/doc/294420>.

@article{Zu2017,
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.},
author = {Zu, Li, Jiang, Daqing, O'Regan, Donal},
journal = {Czechoslovak Mathematical Journal},
keywords = {stochastic permanence; persistent in mean; extinction; stationary distribution},
language = {eng},
number = {4},
pages = {867-890},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation},
url = {http://eudml.org/doc/294420},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Zu, Li
AU - Jiang, Daqing
AU - O'Regan, Donal
TI - Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 4
SP - 867
EP - 890
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.
LA - eng
KW - stochastic permanence; persistent in mean; extinction; stationary distribution
UR - http://eudml.org/doc/294420
ER -

References

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