Results 41 to 50 of about 2,408 (168)

A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel

open access: yesAdvances in Difference Equations, 2021
This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator and prey act as agents in an ecosystem in this simulation.
Aziz Khan   +4 more
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

A Raspberry Pi-based Hardware Implementation of Various Neuron Models

open access: yesElektronika ir Elektrotechnika
The implementation of biological neuron models plays an important role in understanding the functionality of the brain. Generally, analog and digital methods are preferred during implementation processes.
Vedat Burak Yucedag, Ilker Dalkiran
doaj   +1 more source

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim   +2 more
wiley   +1 more source

Using Predictor-Corrector Methods for Numerical Solution of System of Non-linear Volterra Integral Equations of Second Kind [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
The aim of this paper is solving system of non-linear Volterra integral equations of the second kind (NSVIEK2) numerically using Predictor-Corrector methods (P-CM). Two multistep methods (Adams-Bashforth, Adams-Moulton).
Borhan Jumaa, Abbas Taqi
doaj   +1 more source

On qualitative analysis of an ecological dynamics with time delay

open access: yesAsian Journal of Control, Volume 28, Issue 1, Page 46-56, January 2026.
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley   +1 more source

A Caputo (discretization) fractional-order model of glucose-insulin interaction: numerical solution and comparisons with experimental data

open access: yesJournal of Taibah University for Science, 2021
In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model.
Mansoor H. Alshehri   +3 more
doaj   +1 more source

Fractional transmission analysis of two strains of influenza dynamics

open access: yesResults in Physics, 2022
A fractional system for transmission dynamics behavior of influenza infection with two strains is investigated and applied to the qualitative assess of crossing immunities on the expansion of the disease.
Ting Cui, Peijiang Liu
doaj   +1 more source

General relativistic null-cone evolutions with a high-order scheme

open access: yes, 2012
We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs.
B Gustafsson   +30 more
core   +1 more source

Exponentially fitted fifth-order two-step peer explicit methods [PDF]

open access: yes, 2015
The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel ...
Calvo, M   +3 more
core   +3 more sources

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