Applied Mathematics Research Papers

On Combined Maximal Precedence–Exceedance Test with Application to HIV Clinical Trials

This paper proposes a combined maximal precedence–exceedance test (MPErs) that integrates maximal precedence and maximal exceedance statistics tests to provide sensitivity to both early and late distributional differences between two sample...

Beyond airborne spread: a dual-route Wells-Riley extension for estimating norovirus infection risk in Ghanaian pediatric wards

Background: The classic Wells–Riley model (CWRM) is a well-established framework for estimating airborne infection risk in shared indoor environments. This study extends the framework to simultaneously incorporate fecal–oral transmission, a...

Mathematical Modeling of Leptospirosis With Misdiagnosis

Leptospirosis is a widespread zoonotic bacterial disease that continues to pose a major public health challenge, particularly in developing countries where it causes substantial morbidity, mortality, and economic losses. A key problem in co...

Elliptic problems with nonmonotone discontinuities at resonance (Erratum)

Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making

Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corres...

Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions

In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate an...

Extremes of Product of Gaussian Random Variables

We investigate the asymptotic behavior of the product of Gaussian random variables, with a focus on tail probabilities. Although sums of normal variables are well understood through classical limit theorems, their products exhibit significa...

Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics

We investigate the problem of fuzzy constrained predictive optimal control of high speed train considering the effect of actuator dynamics. The dynamics feature of the high speed train is modeled as a cascade of cars connected by flexible c...

The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items

Food production systems are complex industrial operations that often involve multiple parties. This study proposes inventory management strategies for a multi-echelon perishable food supply chain with growing and deteriorating items. The up...

Transfer of Risk in Supply Chain Management with Joint Pricing and Inventory Decision Considering Shortages

This study is the first to consider a distribution-free approach in a newsvendor model with a transfer of risk and back-ordering. Previously, in many articles, discrete demand is considered. In this model, we consider a newsvendor selling a...

Modulation Instability and Abundant Exact Solitons to the Fractional Mathematical Physics Model Through Two Distinct Methods

The paper consists of various types of wave solutions for the truncated M-fractional Bateman–Burgers equation, a significant mathematical physics equation. This model describes the nonlinear waves and solitons in different physical fields s...

The Future of Work: Digitalisation of Sub-Saharan Africa Labour Markets

Digital transformation is reshaping global operations by integrating technology into business, fundamentally changing how value is delivered. In Sub-Saharan Africa, this shift is altering work processes and job content, impacting the demand...

Mathematics for Nuclear Engineering

Mathematics for Nuclear Engineering

Optimization of cationic nanoparticles stabilized by poloxamer 188: A potential approach for improving the biological activity of Aloe perryi

Aloe perryi (AP) has gained considerable interest as a medicinal herb in various biological applications due to its rich phytochemical composition. However, the therapeutic benefits of AP could be potentiated by utilizing nanotechnology. Mo...

Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels

The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved th...

On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras

The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established. In t...

Derivations of a Sullivan Model and the Rationalized G-Sequence

Let Gk,nℂ for 2≤k...

Novel Approach for Robust Control of Axial Piston Pump

The article is devoted to designing novel multivariable robust μ-control of an open-circuit axial piston pump. In contrast with classical solutions of displacement volume control, in our case, the hydro-mechanical controller (by pressure, f...

Generalized Exponential Trichotomies for Abstract Evolution Operators on the Real Line

This paper considers two trichotomy concepts in the context of abstract evolution operators. The first one extends the notion of exponential trichotomy in the sense of Elaydi-Hajek for differential equations to abstract evolution operators,...