Academic Articles & Research Papers

A fast three-step second-order explicit numerical approach to investigating and forecasting the dynamic of corruption and poverty in Cameroon

This paper constructs a three-step second-order numerical approach for solving a mathematical model on the dynamic of corruption and poverty. The stability and error estimates of the proposed technique are analyzed using the L2-norm. The de...

Decision Support on Small size Passive Samples

A construction technique of adequate mathematical models for small size passive samples, in conditions when classical probabilistic-statis\-tical methods do not allow obtaining valid conclusions was developed....

Mathematical modeling of the COVID-19 pandemic with intervention strategies

Mathematical modeling plays an important role to better understand the disease dynamics and designing strategies to manage quickly spreading infectious diseases in lack of an effective vaccine or specific antivirals. During this period, for...

Mathematical Models in Biology

Life scientists are not always fully aware of the powerful role that mathematical models have in both answering biological research questions and in making predictions. Scientists have a clear view of the problem; they know the questions; t...

Solar heat transport analysis of Falkner Skan Casson ternary hybrid nanoparticles over a permeable wedge

Abstract In the modern era, energy has become a vital concern across all sectors, while efficient energy generation remains a significant challenge for scientists and engineers. To overcome this issue, researchers have developed ternary hyb...

Mathematical Models in Epidemiology

Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems

The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the noti...

Mathematics in Population Biology

"The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results a...

The Mathematics of Financial Derivatives

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematic...

Elements of mathematical ecology

"Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the...

Elements of Mathematical Ecology

Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore mu...

The Mathematics of Marriage

Divorce rates are at an all-time high. But without a theoretical understanding of the processes related to marital stability and dissolution, it is difficult to design and evaluate new marriage interventions. The Mathematics of Marriage pro...

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...

Mathematical Modeling

RESEARCH OF PROPERTIES OF SEDIMENTS FORMED IN COURSE OF WHEY AND ITS CONCENTRATES SEPARATION

Five types of protein precipitate can be obtained in the course of whey and its concentrates separation, which, in turn, are divided into precipitates derived from cheese and curd whey. The main factors affecting the moisture content in the...

Comparative analysis of the conditions of readiness of Russia and Ukraine for neo-industrialization

The relevance of the study is that a comparative analysis of the conditions of readiness for neo-industrialization of economic systems (states, regions, industrial complexes, industrial enterprises), taking into account the totality of obst...

Incorrect Ternary Liquid–Liquid Equilibria Description versus Extractor Design Simulation

The presented study focuses on the separation of aromatics from aliphatic hydrocarbons by liquid-phase extraction using ionic liquids. The aim of this study was to show the impact of incorrect description of liquid–liquid equilibria of the ...

THE OPTIMIZATION OF PLUSH YARNS BULKING PROCESS

This paper presents the experiments that were conducted on the installation of continuous bulking and thermofixing “SUPERBA” type TVP-2S for optimization of the plush yarns bulking process. There were considered plush yarns Nm 6.5/2, made o...

Modeling the Dynamics of Two Cooperating Robots

The paper presents a description of the dynamics of two mobile robots cooperating in the transport of a bulky load in the form of a beam. The purpose of modeling such a system was to obtain a mathematical model in an appropriate form. Lagra...

Approaching quantum computing

1 Preface 2 Introduction 2.1 Computing and the Laws of Physics 2.2 Quantum Information 2.3 Quantum Computers 2.4 The Wave and the Corpuscular Nature of Light 2.5 Deterministic versus Probabilistic Photon Behavior 2.6 State Description, Supe...