Academic Articles & Research Papers

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniquen...

Design and Verification of Assessment Tool of Shortwave Communication Interference Impact Area

In the field of electronic communication warfare, accurately predicting the range and intensity of shortwave interference signals presents a significant challenge due to the complex interplay between the ionospheric parameters and the elect...

The Psychology of Learning Mathematics

This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese),...

Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection. We assume that the non-stationary solidification process occurs in a two dimensional bou...

On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of...

Semi-Analytical Option Pricing Under Double Heston Jump-Diffusion Hybrid Model

We examine European call options in the jump-diffusion version of the Double Heston stochastic volatility model for the underlying price process to provide a more flexible model for the term structure of volatility. We assume, in addition, ...

Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences

Microbial network inference for longitudinal microbiome studies with LUPINE

Abstract Background The microbiome is a complex ecosystem of interdependent taxa that has traditionally been studied through cross-sectional studies. However, longitudinal microbiome studies are becoming increasingly popular. These studies ...

Mathematical structures of language

This book attempts to show how one can arrive at an abstract system which characterizes precisely natural language. This is done by taking the data of language and finding within the data such relations as can be organized into a suitable m...

Mathematical models of hysteresis

A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described. The theorem, which gives the necessary and sufficient conditions for the representation of ac...

Pedestrian–bus route and pickup location planning for emergency evacuation

Planning for a bus-based regional evacuation is essential for emergency preparedness, especially for hurricane or flood prone urban environments with large numbers of transit-dependent or transit-captive populations. This paper develops an ...

Internal Decoupling in Nonlinear Process Control

A simple method has been investigated for the total or partial removal of the effect of non-linear process phenomena in multi-variable feedback control systems. The method is based upon computing the control variables which will drive the p...

Coordination of Plug-In Electric Vehicle Charging in a Stochastic Framework: A Decentralized Tax/Incentive-Based Mechanism to Reach Global Optimality

We address the problem of charging plug-in electric vehicles (PEVs) in a decentralized way and under stochastic dynamics affecting the real-time electricity tariff. The model is formulated as a Nash equilibrium seeking problem, where player...

Developing a Mobile Game Using Scientific Approach to Support Mathematics Learning

The widespread use of smartphones to play games and the lack of use as a medium for learning mathematics is the reason for the need for the development of smartphone-based edutainment learning media. The purpose of this research is to desig...

Mathematical Statistics With Applications

This calculus-based book presents a blend of theory and application. It focuses on inference making as the goal of studying probability and statistics, and features an emphasis on real-life applications of the mathematically divided techniq...

A Fractional-Order Complexity Framework for Misinformation Propagation With Fact-Checking Saturation and Social Vulnerability Dynamics

Misinformation spreads through communities in ways that resemble infectious diseases, but existing mathematical models often miss three real-world complexities: People remember past information (memory effects), some folks are more easily f...

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....

Investigating late-time cosmology using Finsler-Randers geometry and Barthel connection: Observational constraints and implications

In this study we explore cosmological anisotropies and dark energy using Finsler-Randers geometry, an extension of Riemannian geometry that incorporates directional dependence in the spacetime structure. We investigate whether Finslerian mo...

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...