Stochastic delay foraging arena predator-prey system with Markov switching

Tools

Cai, Yongmei and Cai, Siyang and Mao, Xuerong (2019) Stochastic delay foraging arena predator-prey system with Markov switching. Stochastic Analysis and Applications. ISSN 0736-2994 (https://doi.org/10.1080/07362994.2019.1679645)

[thumbnail of Cai-etal-SAA-2020-Stochastic-delay-foraging-arena-predator-prey-system-with-Markov-switching]
Preview
 Text. Filename: Cai_etal_SAA_2020_Stochastic_delay_foraging_arena_predator_prey_system_with_Markov_switching.pdf
Accepted Author Manuscript
Download (432kB)| Preview

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.

ORCID iDs

Cai, Yongmei ORCID logoORCID: https://orcid.org/0000-0003-4617-5618, Cai, Siyang ORCID logoORCID: https://orcid.org/0000-0002-8959-599X and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:70799
    Dates:
    Date
    Event
    27 November 2019
    Published
    27 November 2019
    Published Online
    7 October 2019
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:11 Dec 2019 13:50
    Last modified:12 Dec 2024 09:01
    URI:https://strathprints.strath.ac.uk/id/eprint/70799
CORE (COnnecting REpositories)