In this research, a susceptible-exposed-infected-quarantine-recovered-type epidemic model containing fractional-order differential equations is suggested and examined in order to better understand the dynamical behavior ...
Age-structured epidemic models play a crucial role in the study of epidemiological modeling. Motivated by this, in this article, we propose an epidemic model with age since infection and vaccination age of individuals, a ...
A four-compartmental fractional-order epidemic model has been investigated to understand the transmission mechanism of infectious diseases with the population’s memory effect. The existence and uniqueness criterion of the ...
Since the beginning of time, tuberculosis (TB) has been a fatal illness that predominantly affects the human lungs before spreading to other organs including the brain, spine, etc. The main elements of TB mitigation are ...
Interaction between prey and predator in the presence of an infectious pathogen is the main focus of this article. A non-local transmission, that encompasses the possibility of acquiring infection from a distanced potential ...
Emerging infectious diseases are one of the core concerns in epidemiology, and they often lead to a global public health emergency and consequently affect socio-economic sectors. The risk of contracting an infection varies ...
A parameter-uniform implicit approach for two-parameter singularly perturbed boundary valueproblems is constructed. On the solution derivatives, sharp limits are presented. The solution is additionallydivided into regular ...
The text envisages novel optimization methods that significantly impact real-life problems, starting from inventory control to economic decision-making. It discusses topics such as inventory control, queueing models, ...
This prospective study focuses on analyzing the reliability characteristics of multi-unit systems with standby provisioning, accounting for failures, degradation, random delays, and probabilistic imperfections. The ...
This research article studies the critical issue of the single-server congestion problem with prominent customer impatience attributes and server strategic differentiated vacation. Despite their apparent practical relevance, ...
This paper introduces a focused model for analyzing congestion in finite tandem networks, a crucial aspect in queueing theory with far-reaching implications for system efficiency. By examining job flow through nodes, Node-1 ...
The objective of this research article is to present innovative mathematical expressions that describe the steady-state distribution of buffer content within a fluid queue influenced by an M/M/1 queue with feedback. The ...
The current research proposes optimal management strategies for queueing modeling-based renewable energy systems with hyper-exponentially distributed maintenance/repair under the assumption of an admission control policy. ...
The study is on the cost dynamics which is concerned with finite queues in particular to susceptibility to server outages, threshold-driven recovery and Catastrophic events, but main focus is on balking behaviour of the ...
Queue-based scenarios with server breakdowns have become an exciting topic for queueing theorists, researchers, and practitioners in past decades. These queueing systems are generally used in many realistic waiting line ...
This chapter investigates a single-server finite-capacity service system in a Markovian environment for different variants of unreliable servers. Three diverse mathematical models are discussed using the queueing-theoretic ...
The maximum entropy principle has grown progressively more pertinent to queueing systems. The principle of maximum entropy (PME) presents an impartial framework as a promising method to examine complex queuing processes. ...
Demands for cost-efficient and just-in-time service systems have rapidly increased due to the present-day competitive resource allocation. We focus on optimizing policies for highly efficient service systems because customer ...
The implication of machine repair problems in the continued functioning of real-time machining models keeps growing with the advent of technology for socioeconomic progression, mobility, security, and safety. The uninterrupted ...
This article presents a novel computational approach for analyzing M/M/1/N queues with feedback, discouraged arrivals, and reneging, under the first-come, first-served (FCFS) discipline. We calculate explicit transient ...