A differential equation with delay from biology
Abstract The purpose of this paper is to present a differential equation with delay from biological excitable medium. Existence, uniqueness…
Mathematical modeling
Lotka, Volterra and their model
Abstract The chemist and statistician Lotka, as well as the mathematician Volterra, studied the ecological problem of a predator population…
Localization and multiplicity for stationary Stokes systems with variable viscosity
AbstractIn this paper we discuss the localization and the multiplicity of solutions for the stationary Stokes system with variable viscosity…
Generative 3D Cardiac Shape Modelling for in-silico Trials
Abstract We propose a deep learning method to model and generate synthetic aortic shapes based on representing shapes as the…
A fixed-point approach to control problems for Kolmogorov type second-order equations and systems
Abstract In this paper, the second-order differential equations and systems of Kolmogorov type are defined. With reference to population dynamics…
Stratified equatorial flows in cylindrical coordinates with surface tension
Abstract This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)
Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…
Vector fixed point approach to control of Kolmogorov differential systems
Abstract The paper presents a vector approach to control problems for systems of equations. The method is described in the…
Testing Weyl geometric gravity with the SPARC galactic rotation curves database
Abstract We present a detailed investigation of the properties of the galactic rotation curves in the Weyl geometric gravity model, in which…
A method of lower and upper solutions for control problems and application to a model of bone marrow transplantation
Abstract A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is…