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 ...

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 ...

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 ...

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 ...

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 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 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. ...

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 ...

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. ...

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 ...