Stochastic prey-predator system with foraging arena scheme

Tools

Cai, Yongmei and Mao, Xuerong (2018) Stochastic prey-predator system with foraging arena scheme. Applied Mathematical Modelling, 64. pp. 357-371. ISSN 0307-904X (https://doi.org/10.1016/j.apm.2018.07.034)

[thumbnail of Cai-Mao-AMM-2018-Stochastic-prey-predator-system-with-foraging]
Preview
 Text. Filename: Cai_Mao_AMM_2018_Stochastic_prey_predator_system_with_foraging.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo
Download (718kB)| Preview

Abstract

In this paper we extend the foraging arena model describing the dynamics of prey-predator abundance from a deterministic framework to a stochastic one. This is achieved by introducing the environmental noises into the growth rate of prey as well as the death rate of predator populations. We then prove that this stochastic differential equation (SDE) has a unique global positive solution. The long-time behaviours of the system are then developed. Furthermore the existence of a stationary distribution is pointed out under certain parametric restrictions. All the results are illustrated by the computer simulations.

ORCID iDs

Cai, Yongmei ORCID logoORCID: https://orcid.org/0000-0003-4617-5618 and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:65733
    Dates:
    Date
    Event
    31 December 2018
    Published
    2 August 2018
    Published Online
    25 July 2018
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:11 Oct 2018 08:28
    Last modified:11 Nov 2024 12:07
    URI:https://strathprints.strath.ac.uk/id/eprint/65733
CORE (COnnecting REpositories)