Search Results - "Wacker, Benjamin"

Global asymptotic stability of one time-continuous and two time-discrete models for ethanol metabolism in the human body.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Aequationes Mathematicae. Oct2025, Vol. 99 Issue 5, p2401-2422. 22p.

Analysis of a non-standard finite-difference-method for the classical target cell limited dynamical within-host HIV-model - Numerics and applications.

Authors: Wacker, Benjamin Schlüter, Jan Christian

Source: Mathematical Biosciences & Engineering. 2025, Vol. 22 Issue 9, p1-31. 31p.

Analysis of a Finite‐Difference Method Based on Nonlocal Approximations for a Nonlinear, Extended Three‐Compartmental Model of Ethanol Metabolism in the Human Body.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Mathematical Methods in the Applied Sciences. Jun2025, Vol. 48 Issue 9, p9975-9992. 18p.

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Mathematical Methods in the Applied Sciences. Aug2026, Vol. 49 Issue 12, p14292-14316. 25p.

The unique equilibrium’s global exponential asymptotic stability of the irreversible Michaelis–Menten mechanism of enzyme kinetics.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Journal of Mathematical Chemistry. Aug2026, Vol. 64 Issue 7, p1-25. 25p.

Qualitative Study of a Dynamical System for Computer Virus Propagation—A Nonstandard Finite‐Difference‐Methodological View.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Mathematical Methods in the Applied Sciences. 5/30/2025, Vol. 48 Issue 8, p9272-9291. 20p.

Revisiting the classical target cell limited dynamical within-host HIV model - Basic mathematical properties and stability analysis.

Authors: Wacker, Benjamin (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Mathematical Biosciences & Engineering. 2024, Vol. 21 Issue 12, p1-25. 25p.

Global asymptotic stability of one time-continuous model and its time-discrete variant for basic virus dynamics.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Aequationes Mathematicae. Apr2026, Vol. 100 Issue 2, p1-27. 27p.

Framework for solving dynamics of Ca²⁺ ion concentrations in liver cells numerically: Analysis of a non‐negativity‐preserving non‐standard finite‐difference method.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Mathematical Methods in the Applied Sciences. Nov2023, Vol. 46 Issue 16, p16625-16643. 19p.

Revisiting analysis for Michaelis-Menten kinetics and a non-standard finite-difference-method for its discretization.

Authors: Wacker, Benjamin¹ (AUTHOR) benjamin.wacker@hs-merseburg.de

Source: Journal of Mathematical Chemistry. Nov2025, Vol. 63 Issue 10, p2138-2166. 29p.

A non-standard finite-difference-method for a non-autonomous epidemiological model: analysis, parameter identification and applications.

Authors: Wacker, Benjamin Schlüter, Jan Christian

Source: Mathematical Biosciences & Engineering. 2023, Vol. 20 Issue 7, p12923-12954. 32p.

Qualitative analysis of two systems of nonlinear first‐order ordinary differential equations for biological systems.

Authors: Wacker, Benjamin Schlüter, Jan Christian

Source: Mathematical Methods in the Applied Sciences. 5/30/2022, Vol. 45 Issue 8, p4597-4624. 28p.

A cubic nonlinear population growth model for single species: theory, an explicit–implicit solution algorithm and applications.

Authors: Wacker, Benjamin Schlüter, Jan Christian

Source: Advances in Difference Equations. 5/1/2021, Vol. 2021 Issue 1, p1-29. 29p.

An age- and sex-structured SIR model: Theory and an explicit-implicit numerical solution algorithm.

Authors: Wacker, Benjamin Schlüter, Jan

Source: Mathematical Biosciences & Engineering. 2020, Vol. 17 Issue 5, p5752-5801. 50p.

Two variants of magnetic diffusivity stabilized finite element methods for the magnetic induction equation.

Authors: Wacker, Benjamin¹ (AUTHOR) bewa87@gmx.de

Source: Mathematical Methods in the Applied Sciences. Sep2019, Vol. 42 Issue 13, p4554-4569. 16p.

Framework for solving dynamics of Ca2+ ion concentrations in liver cells numerically: Analysis of a non‐negativity‐preserving non‐standard finite‐difference method.

Authors: Wacker, Benjamin¹, benjamin.wacker@hs-merseburg.de

Source: Mathematical Methods in the Applied Sciences; Nov2023, Vol. 46 Issue 16, p16625-16643, 19p

Verkehrsökonomische Analyse von Minibustaxiverkehren in der Metropolregion Kapstadt und der Minenstadt Rustenburg in Südafrika.

Authors: SIMONS, VON JOHANNES WACKER, BENJAMIN BOSSERT, ANDREAS et al.

Source: Zeitschrift für Verkehrswissenschaft. 2020, Vol. 91 Issue 1, p1-26. 26p.

Stabilized nodal-based finite element methods for the magnetic induction problem.

Authors: Kaya, Utku Wacker, Benjamin Lube, Gert

Source: Mathematical Methods in the Applied Sciences. Sep2016, Vol. 39 Issue 13, p3576-3590. 15p.

Revisiting Maximum Log-Likelihood Parameter Estimation for Two-Parameter Weibull Distributions: Theory and Applications.

Authors: Kneib, Thomas Schlüter, Jan-Christian Wacker, Benjamin

Source: Results in Mathematics / Resultate der Mathematik. Sep2024, Vol. 79 Issue 6, p1-27. 27p.

Simultaneous Registration of Image Sequences – a novel singular value based images similarity measure.

Authors: Brehmer, Kai Wacker, Benjamin Modersitzki, Jan

Source: PAMM: Proceedings in Applied Mathematics & Mechanics. Dec2018, Vol. 18 Issue 1, p1-2. 2p.