Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model
type: Item
instance of: scholarly article
title: Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model
zbMATH Open document ID: 1465.65008
author: Xuerong Mao
author: Fengying Wei
author: Teerapot Wiriyakraikul
published in: Journal of Computational and Applied Mathematics
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7354678
zbMATH Keywords: stochastic differential equation
zbMATH Keywords: Lotka-Volterra competition model
zbMATH Keywords: positivity preserving truncated Euler-Maruyama method
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113566
OpenAlex ID: W3150939583
cites work: Higher-order implicit strong numerical schemes for stochastic differential equations
cites work: Q5429735
cites work: Q4826106
cites work: Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
cites work: Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations
cites work: Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
cites work: Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
cites work: Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model
cites work: A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications
cites work: Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
cites work: A note on tamed Euler approximations
cites work: Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
cites work: The tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
cites work: Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations
cites work: The truncated Euler-Maruyama method for stochastic differential equations
cites work: Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations
cites work: Q4942767
cites work: Q4463035
cites work: Environmental Brownian noise suppresses explosions in population dynamics.
cites work: A Stochastic Differential Equation SIS Epidemic Model
cites work: Stochastic Differential Equations with Markovian Switching
DOI: 10.1016/J.CAM.2021.113566
description: scientific article; zbMATH DE number 7354678