Results 51 to 60 of about 831 (128)
Mathematical Modelling of Tumour Treatment With Chemotherapy
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this study, a cancer disease model incorporating dynamics between immune cells and tumour cells, as well as competition between tumour cells and normal cells, was formulated in an attempt to understand the interaction dynamics that govern the complex interplay within the tumour microenvironment.
F. S. Nyaweni, W. Mbava, Yeou Jiann Lim
wiley +1 more source
A Novel Mathematical Model for Hearing Disability: Dynamics, Equilibrium Analysis, and Stability
Journal of Mathematics, Volume 2025, Issue 1, 2025.Disability or impairment of any part of the human being is very painful, which not only affects physical shape, comfort, and normal routine but also affects financial situation of one being as well. The proper diagnosis and treatment of impairment prior to the damage of a certain body part are very crucial. This work introduces a new mathematical model
Ibrahim Al-Dayel +2 more
wiley +1 more source
Gradual learning from incremental actions
Theoretical Economics, Volume 20, Issue 1, Page 93-130, January 2025.We introduce a collective experimentation problem where a continuum of agents choose the timing of irreversible actions under uncertainty and where public feedback from the actions arrives gradually over time. The leading application is the adoption of new technologies. The socially optimal expansion path entails an informational trade‐off where acting
Tuomas Laiho, Pauli Murto, Julia Salmi
wiley +1 more source
A Study of Dispersive Evolution Equations with Nonlocal Nonlinearities [PDF]
, 2015 In this thesis we consider a nonlinear-nonlocal equation of Whitham type. We prove the local well-posedness for our equation in the fractional Sobolev space by using the Picard Lindelöf existence theorem to prove the existence of a unique solution ...
Debech, Hager
core
Nonlinear lattices from the physics of ecosystems: The Lefever–Lejeune nonlinear lattice in ℤ2
Mathematical Methods in the Applied Sciences, Volume 47, Issue 16, Page 12487-12506, 15 November 2024.We argue that the spatial discretization of the strongly nonlinear Lefever–Lejeune partial differential equation defines a nonlinear lattice that is physically relevant in the context of the nonlinear physics of ecosystems, modelling the dynamics of vegetation densities in dry lands. We study the system in the lattice ℤ2$$ {\mathrm{\mathbb{Z}}}^
Nikos I. Karachalios +2 more
wiley +1 more source
A rational ansatz for the approximation of Koopman eigenfunctions
PAMM, Volume 24, Issue 3, October 2024.Abstract Koopman operator theory offers a basis for the systematic transformation and linearization of complex dynamical systems. We propose a method to approximate eigenfunctions of the Koopman operator for sufficiently smooth, deterministic and autonomous dynamical systems with hyperbolic fixed points in an equation‐based context.
Ulrich J. Römer, Margarete Breitenhuber
wiley +1 more source
, 2017 In this paper we address a particular fluid-solid interaction problem in which the solid object is lying at the bottom of a layer of fluid and moves under the forces created by waves travelling on the surface of this layer.
Benyo, Krisztian
core
A Refined Saddle Point Theorem and Applications [PDF]
, 2012 Under adequate conditions on $g$, we show the density in $L^2((0,\pi),(0,2\pi))$ of the set of functions $p$ for which \begin{equation*} u_{tt}(x,t)-u_{xx}(x,t)= g(u(x,t)) + p(x,t) \end{equation*} has a weak solution subject to \begin{equation*} \begin{
Enniss, Harris
core +2 more sources
Some remarks on Nagumo's theorem [PDF]
, 2010 Wir beweisen Eindeutigkeit und Konvergenz der Picarditerationen unter allgemeineren Voraussetzungen als Lipschitz für x^(n)= f(t; x). Danach präsentieren wir einen einfacheren Beweis für eine kürzlich publizierte Verallgemeinerung von Nagumo's Theorem ...
Mejstrik, Thomas
core
When can environmental profile and emissions reductions be optimized independently of the pollutant level? [PDF]
, 2013 Consider a model for optimal timing of emissions reduction, trading off the cost of the reduction against the time-additive aggregate of environmental damage, the disutility from the pollutant stock M(t) the infrastructure contributes to.
Framstad, Nils Chr.
core