Contemporary Mathematics, Volume 4 Issue 2 (2023)

Open Access Article

Mathematical Modeling of Dog Rabies Transmission Dynamics Using Optimal Control Analysis

by Demsis Dejene Hailemichael, Geremew Kenassa Edessa, Purnachandra Rao Koya

ABSTRACT: An ideal control method for the dynamics of dog rabies transmission is provided in this study. Given the nature of the disease and the fact that contact behavior varies, we divided the infected...

Open Access Article

Host Viral Load During Triple Coinfection of SARS-CoV-2, Influenza Virus, and Syncytial Virus

by Mesfin Asfaw Taye

ABSTRACT: The dynamics of the host viral load during triple coinfection between SARS-CoV-2, Influenza A, and the Syncytial virus is studied. To explore how the host cells, the infected cells, and the viral...

Open Access Article

On The Solutions of Fractional Boundary Value Problems for a Combined Caputo Fractional Differential Equations

by Şuayip Toprakseven

ABSTRACT: In this paper, a new class of fractional boundary value problem with the combined Caputo derivative is proposed and the physical interpretation of this new derivative has been explained. Under...

Open Access Article

On Lagrange Multiplier Theorems for Non-smooth Optimization for a Large Class of Variational Models in Banach Spaces

by Fabio Silva Botelho

ABSTRACT: This article develops optimality conditions for a large class of non-smooth variational models. The main results are based on standard tools of functional analysis and calculus of variations....

Open Access Article

Analysis of a Single Server Queueing System Controlled by a Random Switch

by Akshaya Ramesh, S. Udayabaskaran

ABSTRACT: In this paper, a single server queueing system operating in a doubly stochastic environment is analysed. The random environment makes transitions among N levels controlled by a random switch...

Open Access Article

A Novel Mathematical Study on the Predictions of Volatile Price of Gold Using Grey Models

by A. Manickam, S. Indrakala, Pushpendra Kumar

ABSTRACT: In the history of the gold market, contemporary gold prices are higher than the previous values, and the current gold market is highly non-linear and unpredictable. Gold is the most popular...

Open Access Article

Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces

by Waseem G. Alshanti, Iqbal M. Batiha, Ahmad Alshanty

ABSTRACT: This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in...

Open Access Article

Uniqueness of an Orthogonal 2-Handle Pair on a Surface-Link

by Akio Kawauchi

ABSTRACT: The proof of uniqueness of an orthogonal 2-handle pair on a surface-link is given from the viewpoint of a normal form of 2-handle core disks. A version to an immersed orthogonal 2-handle pair on a...

Open Access Article

Petrov-Galerkin Lucas Polynomials Procedure for the Time-Fractional Diffusion Equation

by Y. H. Youssri, A. G. Atta

ABSTRACT: Herein, we build and implement a combination of Lucas polynomials basis that fulfills the spatial homogenous boundary conditions. This basis is then used to solve the time-fractional diffusion...

Open Access Article

An Application of the Melnikov Method to a Piecewise Oscillator

by Oltiana Gjata, Fabio Zanolin

ABSTRACT: In this paper we present a new application of the Melnikov method to a class of periodically perturbed Duffing equations where the nonlinearity is non-smooth as otherwise required in the classical...

Open Access Article

Comparative Analysis of Models of Gene and Neural Networks

by Inna Samuilik, Felix Sadyrbaev, Diana Ogorelova

ABSTRACT: In the language of mathematics, the method of cognition of the surrounding world in which the description of the object is carried out the name is mathematical modeling. The study of the model is...