Work

Numerical Solution of the Lotka-Volterra Stochastic Differential Equation

Year: 2025

Type: article

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.

Source: Statistics Optimization & Information Computing

DOI: 10.19139/soic-2310-5070-2307

Authors: Erisbey Marín Cardona, Carlos Alberto Ramírez-Vanegas, José Rodrigo González Granada

Institution: Technological University of Pereira

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: Universidad Tecnológica de Pereira

OpenAlex ID: W4411183480

FWCI:

Cites: 3

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Related to: 10