We reformulate a stochastic epidemic model consisting of four human classes. We show that
there exists a unique positive solution to the proposed model. The stochastic basic …

In a short time, many illustrative studies have been conducted on the mathematical modeling
and analysis of COVID-19. There are not enough studies taking into account the vaccine …

Abstract The Korteweg–De Vries (KdV) equation has always provided a venue to study and
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …

In this study, we investigate a new fractional-order mathematical model which considers
population dynamics among tumor cells-macrophage cells-active macrophage cells, and …

Purpose This paper aims to study qualitative properties and approximate solutions of a
thermostat dynamics system with three-point boundary value conditions involving a …

Dengue is a vector-borne disease which is spreading rapidly around the world. It is one of
the fastly growing public health problems in Nepal. Since 2004, dengue cases have been …

In this research, we examine the nonsingular memory effect when implementing the
Atangana–Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus …

In the realm of nonlinear dynamics, the Belousov-Zhabotinsky reaction system has long held
the fascination of researchers. The Belousov-Zhabotinsky system continues to be an active …

The Navier–Stokes (NS) equations involving MHD effects with time-fractional derivatives are
discussed in this paper. This paper investigates the local and global existence and …

The advent of social media (SM) platforms has transformed communications, information
dissemination, and interpersonal relationships on a global scale. As SM continues to evolve …