Numerical Solution of the Lotka-Volterra Stochastic Differential Equation

  • Erisbey Marín Cardona Departamento de Matemáticas, Universidad Tecnológica de Pereira, Pereira 660003, Colombia
  • Carlos Alberto Ramírez-Vanegas Departamento de Matemáticas, Universidad Tecnológica de Pereira, Pereira 660003, Colombia
  • José Rodrigo González Granada Departamento de Matemáticas, Universidad Tecnológica de Pereira, Pereira 660003, Colombia
DOI: https://doi.org/10.19139/soic-2310-5070-2307
Keywords: Stochastic differential equations, Lotka-Volterra model, Euler-Maruyama method, Milstein method

Abstract

This paper presents the modeling of the stochastic differential equation of Lotka-Volterra and introduces the application of two numerical methods to approximately obtain the solution to this stochastic model. The methods used to solve the stochastic differential equation are the Euler-Maruyama method and the Milstein method. Additionally, a methodology will be presented to obtain the parameters of the predator-prey model equation based on empirically obtained data from observations conducted over a fixed period of time.
Published
2025-03-04
How to Cite
Cardona, E. M., Ramírez-Vanegas, C. A., & González Granada, J. R. (2025). Numerical Solution of the Lotka-Volterra Stochastic Differential Equation. Statistics, Optimization & Information Computing, 13(6), 2511-2520. https://doi.org/10.19139/soic-2310-5070-2307
Issue
Vol 13 No 6 (2025)
Section
Research Articles
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