Bayesian inversion for a fractional Lotka-Volterra model: An application of Canadian lynx vs. snowshoe hares

Francisco J. Ariza-Hernandez, Luis M. Martin-Alvarez, Martin P. Arciga-Alejandre and Jorge Sanchez-Ortiz

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: The Bayesian statistical inversion method is implemented to obtain the parameter estimations for fractional LotkaVolterra models, including the derivative orders, based on analytical solutions obtained by the multi-step homotopy method. For the posterior distributions of the parameter of interest, we used Markov Chain Monte Carlo method through the JAGS package within R software. The posterior predictive model–checking method is implemented to select the best model for a real data set.

Keywords: Homotopy method; Inverse problem; Fractional Lotka-Volterra; Posterior predictive model–checking (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006329

DOI: 10.1016/j.chaos.2021.111278

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