Stochastic delay foraging arena predator–prey system with Markov switching

Yongmei Cai, Siyang Cai, Xuerong Mao

Research output: Journal PublicationArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we introduce white noise, telegraph noise and time delay to the two-dimensional foraging arena population system describing the prey and predator abundance. The aim is to find out how the interactions between white noise, telegraph noise and time delay affect the dynamics of the population system. Firstly, the existence of a global positive solution is verified. Then the long-time properties including the stochastically ultimate boundedness, extinction and some other asymptotic pathwise estimation of this population system are studied. Finally, the main results are illustrated by two examples.

Original languageEnglish
Pages (from-to)191-212
Number of pages22
JournalStochastic Analysis and Applications
Volume38
Issue number2
DOIs
Publication statusPublished - 3 Mar 2020
Externally publishedYes

Keywords

  • Brownian motion
  • Markov chain
  • Stochastic predator–prey model
  • time delay
  • ultimate boundedness

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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