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

FJ Ariza-Hernandez, LM Martin-Alvarez… - Chaos, Solitons & …, 2021 - Elsevier
The Bayesian statistical inversion method is implemented to obtain the parameter
estimations for fractional LotkaVolterra models, including the derivative orders, based on …

Fractional transit compartment model for describing drug delayed response to tumors using Mittag-Leffler distribution on age-structured PKPD model

JH Byun, Y Roh, IS Yoon, KS Kim, IH Jung - Plos one, 2022 - journals.plos.org
The response of a cell population is often delayed relative to drug injection, and individual
cells in a population of cells have a specific age distribution. The application of transit …

Fractional model for the study of the tuberculosis in Mexico

JC Hernández‐Gómez, R Reyes… - … Methods in the …, 2022 - Wiley Online Library
In this paper, we present a definition of the generalized fractional local derivative, which
contains as a particular case several of those reported in the literature. In this framework, we …

Bayesian inference in extremes using the four-parameter kappa distribution

P Seenoi, P Busababodhin, JS Park - Mathematics, 2020 - mdpi.com
Maximum likelihood estimation (MLE) of the four-parameter kappa distribution (K4D) is
known to be occasionally unstable for small sample sizes and to be very sensitive to outliers …

A COMPUTATIONAL AND FRACTIONAL MATHEMATICAL MODEL FOR ASSESSING HEPATITIS B WITH OPTIMAL THERAPY

LC CARDOSO, PF TORO, RF CAMARGO… - Journal of Biological …, 2024 - World Scientific
This paper presents a mathematical study applied to Hepatitis B disease utilizing fractional
calculus and numerical methods. We begin by discussing mathematical fundamentals …

Deciphering Memory Patterns in Eco-Epidemiological systems through the lens of BaFOMS: A Bayesian Fractional Order Model Selection Method

DV Mestry, P Singh, J Rocklov, AR Bhowmick - bioRxiv, 2024 - biorxiv.org
The evolution of eco-epidemiological systems is significantly influenced by the memory or
previous history of the system. These non-Markovian dynamics are effectively modelled …

Cancer Modeling by Fractional Derivative Equation and Chemotherapy Stabilizing

A Moustafid - Communications in Advanced Mathematical Sciences - dergipark.org.tr
This paper discusses the theme of cancer modeling and the control problem of
chemotherapy. Cancer spread is modeled by fractional derivative equation and …