Differential inequalities, comparison results, and sufficient conditions on initial time difference stability, boundedness, and Lagrange stability for fractional differential systems have been evaluated.
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http://dx.doi.org/10.1155/2014/939027 | DOI Listing |
Sci Rep
January 2025
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia.
The monkeypox virus (MPXV), which is a member of the Orthopoxvirus genus in the class Poxviridae, is the causative agent of the zoonotic viral infection MPXV. The disease is similar to smallpox, but it is usually less dangerous. This study examines the evolution of the MPXV epidemic in Canada with an emphasis on the effects of control employing actual data.
View Article and Find Full Text PDFComput Biol Chem
January 2025
Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia.
This study develops an Artificial Neural Network (ANN)-based framework to model the transmission dynamics and long-term disability outcomes of Ebola Virus Disease (EVD). Building on existing deterministic SEIR models, we extend the framework by introducing a disability compartment, capturing the progression of Ebola survivors to chronic health complications, such as post-Ebola syndrome. The proposed model stratifies the population into various epidemiological states, incorporating delays to better reflect the natural progression and intervention strategies associated with EVD.
View Article and Find Full Text PDFJ Math Biol
January 2025
College of Mathematical Sciences, Harbin Engineering University, Harbin, China.
In this paper, a novel age-structured epidemiological model that simultaneously considers multiple viral strains is proposed. We develop a numerical framework for the study of the dynamics and optimal control by a linearly implicit Euler method, in which the biological meaning is unconditionally preserved. The first order convergence of numerical solutions in a finite time is derived from a uniform numerical boundedness.
View Article and Find Full Text PDFAn Acad Bras Cienc
January 2025
University of Technology, Department of Control and System Engineering, Baghdad, 10066, Iraq.
Latency in flux observation has an adverse effect on the performance of observer-based field-oriented speed control for three-phase induction motor (IM). The reduction of the convergent rate of estimation errors could improve the performance of speed-controlled IM based on flux observers. The main contribution is to design a fast convergent flux observer, which provides bounded estimation error immediately after one instant of motor startup.
View Article and Find Full Text PDFMath Biosci Eng
December 2024
Department of Engineering and Natural Sciences, University of Applied Sciences Merseburg, Eberhard-Leibnitz-Str. 2, D-06217 Merseburg, Germany.
In this article, we reconsider the classical target cell limited dynamical within-host HIV model, solely taking into account the interaction between $ {\rm{CD}}4^{+} $ T cells and virus particles. First, we summarize some analytical results regarding the corresponding dynamical system. For that purpose, we proved some analytical results regarding the system of differential equations as our first main contribution.
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