In this study, we explore a mathematical model of human immunodeficiency virus type 1
(HIV-1) infection in CD4+ T-cells, considering fractional-order dynamics in the Caputo …

Kinetic chemical reactions find applications across various fields. In industrial processes,
they drive the production of essential materials like fertilizers and pharmaceuticals. In …

The mathematical model for monkeypox infection using the ψ–Hilfer fractional derivative is
presented in this study. The integer order formulation is extended to the fractional order …

The goal of this work is to derive and study a new model which traduces the transmission
dynamics of the Buruli ulcer (BU), in which we replace mass action incidences with standard …

Dengue fever, a mosquito-borne disease caused by the dengue virus, imposes a substantial
disease burden on the world. Wolbachia not only manipulates the reproductive processes of …

Climate variability affects the changes in controlling diseases transferred by insects. An
increase in the population, the growth of communities, and a lack of public health …

To explore the impact of the COVID-19 vaccination rate and immune loss rate on the
pandemic, this paper proposes a fractional-order SIV 1 V 2 S epidemic model with …

To analyze and predict the evolution of contagion dynamics, fractional derivative modeling
has emerged as an important technique. However, inferring the dynamical structure of …

In this study, we propose a tumour-immune interaction model using Caputo–Fabrizio
fractional order derivative. The conditions for the well-posedness of the solution are …

In this paper, we study the dynamics of the CoVid-19 outbreak in Semarang, Indonesia,
using a fractional CoVid-19 model. We first determine the effects of the isolation rate∊ and …