Results 141 to 150 of about 4,589 (305)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

A nonlinear partial integro-differential equation from mathematical finance [PDF]

We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
core  

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Numerical solution for nonlocal Sobolev-type differential equations

Electronic Journal of Differential Equations, 2010
We present a numerical approximate solution to Sobolev-type differential equation subject to nonlocal initial boundary conditions. A Laplace transform method is described for the solution of considered equation.
Shruti A. Dubey
doaj  

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

A Magnetic Resonance Fingerprinting Approach for Simultaneous T1$$ {T}_1 $$‐ and PRFS‐Based 3D MR‐Thermometry

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate a three dimensional dual echo magnetic resonance fingerprinting sequence for simultaneous proton resonance frequency shift (PRFS) and T1$$ {T}_1 $$ thermometry during microwave ablation with T1$$ {T}_1 $$ improving robustness near gas bubble induced susceptibility changes while PRFS provides high precision elsewhere ...
Moritz Gutt, Dominik Horstmann, Othmar Belker, Simon Schröer, Daniel Düx, Frank Wacker, Marcel Gutberlet, Bennet Hensen   +7 more
wiley   +1 more source

Transient dynamics of nonlocal beams with scale-dependent phase fractions

Forces in Mechanics
The transient bending response of Bernoulli–Euler nanobeams is investigated within the framework of two-phase strain-driven nonlocal integral elasticity.
Indronil Devnath, Mohammad Nazmul Islam
doaj   +1 more source

Anisotropic Initial Damage and Its Effect on Tensile Response of Plain Concrete

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Damage is often described as isotropic, implying that a scalar value describes its initial state. However, the prior micro‐cracking pattern at points of an existing building, that is, the initial damage, may be oriented by a preload. The degradation of the Volume Element due to oriented preloads shall be described as anisotropic and ...
A. Fau, A. A. Basmaji, U. Nackenhorst, R. Desmorat   +3 more
wiley   +1 more source