TURK 2025

The main aim of this paper is to investigate a nonlinear HIV/AIDS epidemic model. The effect of sexual transmission is involved which later results in AIDS. The fixed points of the model are obtained and their local and global stability analysis is carried out. The existence and uniqueness of qualitative results are presented. We develop a numerical scheme for the proposed HIV/AIDS epidemic...

Chronic Hepatitis B Virus (HBV) infection remains a major global health concern, particularly due to its progression to liver-related complications such as cirrhosis and hepatocellular carcinoma. In this study, we present a compartmental transmission model that captures the dynamics of chronic HBV infection by incorporating key biological and clinical factors, including antiviral treatment,...

In this talk, a telegraph equation describing the behavior of electrical signals in transmission lines is considered. First-, second-, and third-order of accuracy difference schemes are presented for numerical solutions of the equation. Numerical solutions are computed by using these difference schemes with MATLAB implementation. The error analysis is performed.

In this paper, a new integral transform, called the modified Laplace integral transform, is introduced and some of its basic properties are presented. Moreover, the modified Laplace integral transform of some special functions and fractional operators are calculated. Furthermore, solutions of various fractional differential equations are obtained with the help of this new integral transform...

In this study,we introduce the subclasses and
defined by generalized Salagean operator Coefficients
estimates for the function belong to class and distortion
theorems are given. By making use of the familiar concept of neighborhoods
of analytic functions is defined the neighborhoods of functions in the class

In this talk, we explore fractal calculus as a natural and powerful generalization of classical calculus, extending differential and integral operators to functions defined on fractal sets. This generalized framework preserves the core principles of ordinary calculus while adapting them to spaces with non-integer dimensions and irregular geometry. We introduce the foundations of fractal...

This paper presents the development of a three-species food web model using interactions in diseased predator-prey dynamics. The model considers two types of prey populations: susceptible and diseased, both of which are assumed to grow logistically in the absence of predators. We examine the effect of fear on susceptible prey due to infected prey. In Beddington-de-Angelis-type relationships,...

Chaos theory and its possible applications have attracted an increasing number of academics over the last forty years, particularly from the mathematical, physical, and engineering disciplines. Specifically, there has been a recent uptick in the interest in studying 4D chaotic systems that include both hidden and coexisting attractor types. In this study, we captured the system's non-locality...

Solid waste management is a major challenge in many developing nations due to grow-
ing waste production, high management costs that pressure local budgets, and a lack of
knowledge about the links and factors influencing the several stages of waste manage-
ment systems. Among the primary issues is Open Defecation (OD). The Indian govern-
ment established the Swachh Bharat Mission (SBM) to...