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Mathematics in Applied Sciences and Engineering
Scopus
ISSN 2563-1926 · Western Libraries · 135 articles in the index
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Journal Article
Forecast U.S. Covid-19 numbers by an open SIR model with testing
The U.S. COVID-19 data exhibit a high-frequency oscillation along a low-frequency wave for outbreaks. A modified SIR model is proposed to explain this spiking phenomenon. It is also used to fit the data and to make a forecast. For the simulated duration of 590 days, the model is capable of…
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Journal Article
Application of the SIRS-Markov model for calculating insurance premiums for the risk of a network attacked by computer virus
Technological development brought the risk of networks being threatened by computer viruses which led to data breaches and financial losses for companies. To mitigate this risk, insurance products were offered to protect against these virus spread attacks. This epidemic phenomenon was modeled using…
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Journal Article
Dynamical analysis of logistic map with feedback control, additive Allee effect, and harvesting with application in color image encryption
Chaotic property of dynamical systems is known to be exploited in image encryption scheme. In this paper, we study the chaotic property of a fractional order logistic map with feedback control, additive Allee effect, and harvesting. Dynamical analyses are discussed such as the existence and local…
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Journal Article
A study on rough graphs
Rough graphs have emerged as a significant mathematical tool for modeling imprecise and incomplete information within graph-structured data. By leveraging rough set theory, these structures manage uncertainty through the construction of lower and upper approximations, providing a robust framework…
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Journal Article
Application of nonintrusive reduced-order model for linear cross-diffusion Schnakenberg system
This study investigates nonintrusive reduced-order models (NIROMs) for parametric linear cross-diffusion systems. The full-order model (FOM) is constructed via discontinuous Galerkin spatial discretization and Kahan’s method for temporal integration. Reduced bases are generated through a two-level…
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Journal Article
Optimal control and cost-effectiveness analysis of coffee berries invasion with Hypothenemus hampei dynamics
This study emphases on a nonlinear deterministic mathematical model for the invasion dynamics of Hypothenemus hampei. To gain an insight into the global dynamics of coffee berry borer transmission and eradication in any given coffee farm, the assumption of logistic growth with carrying capacity is…
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Journal Article
Decision-making algorithm based on the energy of interval-valued fuzzy soft sets
In our work, we continue to explore the properties of interval-valued fuzzy soft sets, which are obtained by combining interval-valued fuzzy sets and soft sets. We introduce the concept of energy of an interval-valued fuzzy soft set, as well as pessimistic and optimistic energy, enabling us to…
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Journal Article
Distance, similarity and entropy measures of n-dimensional fuzzy sets
An $n$-dimensional fuzzy set generalizes other fuzzy structures and effectively addresses real-world problems by providing greater flexibility in assigning membership values through the selection of an arbitrarily large $n$. Information measures are essential tools that yield significant judgments…
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Journal Article
Analysis of a multi-item queueing inventory system operating with an exchange facility
This paper explores a stochastic queuing-inventory system designed to efficiently manage both new and returned items, offering practical solutions for diverse customer needs. The system differentiates services for various customer classes through dedicated channels, encompassing the sale of new and…
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Journal Article
Impact of vaccination and nonlinear incidence rate on the dynamic of influenza strains epidemic model: Optimal control approach
In this study, we develop and analyze a mathematical model describing the transmission dynamics of influenza strains, including both drug-resistant and non-resistant variants. Our model generalizes several existing epidemic models by incorporating key biological factors. We first prove the…
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Journal Article
Global dynamics of a one-predator-two-prey model and its traveling wave solutions
This work investigates the three species of one-predator-two-prey ecological models in Lotka-Volterra type functional response with or without diffusive terms. Without the diffusive effects and under two essential assumptions, we can generically classify all global dynamics completely. The global…
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Journal Article
Thermal irreversibility and bio-convective transport in a radiative Williamson hybrid nanofluid: application to solar-powered aircraft
Solar energy, as the primary source of thermal radiation, plays a pivotal role in powering photovoltaic systems, solar panels, and advanced energy applications including hybrid nanofluids. With the growing integration of nanotechnology into aerospace systems, researchers are actively exploring its…
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Journal Article
Divisor equitably strong non-split divisor equitable domination in graphs
In epidemiology, the spread of diseases can be modelled using graphs, where individuals are nodes, and edges represent potential pathways for disease transmission. A non-split dominating set could help identify key individuals (or groups) whose monitoring or immunization would ensure that the rest…
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Journal Article
Dynamical analysis of a monkeypox spread model with human to human saturated incidence rate and environmental transmission
In this paper, we study the behavior of monkeypox spread by constructing a compartmental model describing virus transmission between humans, animals, and the environment. The model incorporates vaccination on susceptible humans, quarantine on exposed humans, and hospitalization on infected humans…
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Journal Article
Single server Markovian queueing system with working vacation, impatient customers and disasters
This paper examines the single server Markovian queueing system that incorporates working vacations, disasters, and impatient customers. The server initiates a Vacation when no customers are present in the system, during which it continues to serve arriving customers at a reduced rate. Disasters…
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Journal Article
Heat transfer in an MHD flow of an Erying-Powell fluid over a convectively heated stretching sheet in the presence of heat source and thermal radiation
This study investigates the effects of viscous dissipation, Joule heating, and a heat source on the magnetohydrodynamic flow of an Eyring-Powell fluid over a convectively heated stretched sheet with convective boundary conditions. The fluid flows over a surface heated by a hot fluid from beneath…
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Journal Article
Analysis of linear capillary gravity wave scattering by a submerged plate over an asymmetrical trench
To protect a harbor from the open sea, one can consider a sustainable construction of breakwater in the form of a submerged vertical thin barrier over an asymmetric rectangular trench. In the present study, the scattering of water waves by submerged vertical breakwater over an asymmetric trench in…
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Journal Article
Dynamical analysis of dispersal impact on a three-patch based predator-prey system with strong Allee effected preys
This paper describes a three-patch based predator-prey interaction model where a strong Allee effect accomplishes each prey species in their respective patches. It is also assumed that only the prey species are movable among the patches following the balanced dispersal rule. The stability behavior…
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Journal Article
ANFIS computing for $MAP/PH/1$ queueing system with server deterioration and recovery under vacation and backup server
We examine a queueing system with vacation in which the service rate deteriorates during the service and recovers the service rate during the vacation. The backup server with less service rate takes the place of the main server during the recovery time. The matrix analytic method is used to analyse…
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Journal Article
A study on statistical properties of a new class of $q$-Fréchet distribution
This paper introduces the $ q $-Fréchet distribution, a two-parameter generalization of the classical Fréchet model that incorporates a pathway parameter $ q $ within the framework of Tsallis statistics. The proposed distribution offers enhanced flexibility for modeling real-world data with…