Stochastic dynamical analysis in a hybrid bioeconomic system with telephone noise and distributed delay

Chao Liu, Luying Wang, Daihai He, Mingwei Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)

Abstract

In this paper, a hybrid stochastic prey-predator system with commercial exploitation and distributed delay is established, where combined dynamic effects of telephone noise and Lévy jumps on stochastic population dynamics are taken into accounts. Stochastically ultimate boundedness of the solution is studied. Existence and uniqueness of globally positive solution to the proposed system are investigated. By constructing appropriate stochastic Lyapunov functions, existence of a stationary distribution to the positive solution is discussed. Furthermore, sufficient conditions for permanence in mean and extinction of corresponding population are derived. Numerical simulations are carried out to show consistency with theoretical analysis.

Original languageEnglish
Pages (from-to)4922-4948
Number of pages27
JournalJournal of the Franklin Institute
Volume357
Issue number8
DOIs
Publication statusPublished - May 2020

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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