Academic Articles & Research Papers

Mathematical Problems in Engineering

Mathematical Problems in Engineering is a peer-reviewed, open access journal that publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applicati...

An Introduction to Mathematical Epidemiology

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

Chaotic outbreak in discrete epidemic model with vaccination and quarantine interventions and limited medical resources

The spread of infectious diseases can be analyzed dynamically using a discrete dynamic system. The characteristics of the infectious disease phenomenon are interesting to study as parameters considered in a dynamic system. Some of these inc...

Review of Public Opinion Dynamics Models

Social network provides a medium for information dissemination,leading to the rapid development of public opinion.Controlling the development direction of public opinion is one of the core issues of public opinion dynamics.However,the publi...

A Mathematical Theory of Evidence

Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probabilit...

A remark on Carathéodory type selections

We prove existence of Carathéodory type selections for multifunctions of two variables which are weakly lower semicontinuous with respect to one variable and measurable with respect to the other....

Weak and strong forms of irresolute maps

We consider new weak and stronger forms of irresolute and semi-closure via the concept sg-closed sets which we call ap-irresolute maps, ap-semi-closed maps and contra-irresolute and use it to obtain a characterization of semi-T1/2 spaces....

Dengue serotype immune-interactions and their consequences for vaccine impact predictions

Dengue is one of the most important and wide-spread viral infections affecting human populations. The last few decades have seen a dramatic increase in the global burden of dengue, with the virus now being endemic or near-endemic in over 10...

GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL

Abstract:In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number, the HIV infection is cleared from the T-cell popu...

The Mathematics of Diffusion.

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTThe Mathematics of Diffusion.J. W. Westwater and H. G. DrickamerCite this: J. Am. Chem. Soc. 1957, 79, 5, 1267Publication Date (Print):March 1, 1957Publication History Published online1 May 2002Pu...

Principles of Mathematics

First published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that ...

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

Mathematical Epidemiology

Matrix Mathematics

When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brin...

SOQCS: A Stochastic Optical Quantum Circuit Simulator

Stochastic Optical Quantum Circuit Simulator (SOQCS) is a C++ and Python library which offers a framework to define, simulate and study quantum linear optical circuits in presence of various imperfections typically encountered in experiment...

The Principles of Mathematics.

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view ...

Digital prevention of depression for farmers? A qualitative study on participants' experiences regarding determinants of acceptance and satisfaction with a tailored guided internet intervention program

Introduction: Farmers, forest workers and gardeners have a higher risk of developing depression compared to other occupational populations. As part of the German pilot project “With us in balance”, the potential of six guided internet- and ...

The economics of TAVI: A systematic review

Objective: The scope of this systematic review is to update the existing body of evidence regarding the cost-effectiveness of transcatheter aortic valve implantation, stratified across all risk categories, and to assess their methodological...

Exploring the formation mechanism of off-flavor of irradiated yak meat based on metabolomics

Irradiation's effects on quality, volatile compounds, and differential metabolites of yak meat were studied. Irradiation dose at 3 kGy had no effect on yak meat quality, however irradiation dose at 5 kGy resulted in yak meat quality deterio...