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

Li Zu, Daqing Jiang, Donal O’Regan

Research output: Contribution to a Journal (Peer & Non Peer)Articlepeer-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 languageEnglish
Pages (from-to)867-890
Number of pages24
JournalCzechoslovak Mathematical Journal
Volume67
Issue number4
DOIs
Publication statusPublished - 1 Dec 2017

Keywords

  • extinction
  • persistent in mean
  • stationary distribution
  • stochastic permanence

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