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Afshin Babaei

Afshin Babaei

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6980-9786
Education: PhD.
ScopusId: https://www.scopus.com/authid/detail.uri?authorId=57188696707
Faculty: Faculty of Mathematical Sciences
Address: Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, Babolsar, Iran
Phone: 011-35302418

Research

Title
An adaptive time-stepping algorithm for a stochastic Lotka–Volterra competitive model with time-dependent delays
Type
Presentation
Keywords
Variable step-size, Stochastic Lotka-Volterra model, Time-dependent delays, Milstein method.
Year
2023
Researchers Ali Valinejad ، Zahra Zarei Valojaei ، Afshin Babaei

Abstract

In this paper, a variable step-size strategy is proposed for a Lotka-Volterra stochastic competitive model with time-dependent delays. In this adaptive strategy, the numerical solution proceeds with the Milstein method and the step-sizes are determined by two local error estimators based on the drift and diffusion parts of the model. Numerical results show better accuracy of the proposed strategy compared to a reference fxed step-size mechanism.