Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence

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Cai, Yongmei and Guo, Qian and Mao, Xuerong (2023) Positivity preserving truncated scheme for the stochastic Lotka–Volterra model with small moment convergence. Calcolo, 60 (2). 24. ISSN 0008-0624 (https://doi.org/10.1007/s10092-023-00521-9)

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Abstract

This work concerns with the numerical approximation for the stochastic Lotka–Volterra model originally studied by Mao et al. (Stoch Process Appl 97(1):95–110, 2002). The natures of the model including multi-dimension, super-linearity of both the drift and diffusion coefficients and the positivity of the solution make most of the existing numerical methods fail. In particular, the super-linearity of the diffusion coefficient results in the explosion of the 1st moment of the analytical solution at a finite time. This becomes one of our main technical challenges. As a result, the convergence framework is to be set up under the θth moment with 0

ORCID iDs

Cai, Yongmei, Guo, Qian and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:85826
    Dates:
    Date
    Event
    June 2023
    Published
    25 April 2023
    Published Online
    4 April 2023
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:19 Jun 2023 10:45
    Last modified:12 Dec 2024 14:48
    URI:https://strathprints.strath.ac.uk/id/eprint/85826
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