Scholars and analysts have been increasingly focusing on the concept of modeling
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …

Various infectious diseases primarily contain the characteristics of memory and non-locality.
Keeping this in view; we have, in the present paper, proposed a new epidemiological …

Asymptomatic carriers play an important role in modelling infectious diseases. Asymptomatic
infected people have no symptoms but can infect other people and spread the disease …

A mathematical epidemiological model for the transmission of Hepatitis B virus in the frame
of fractional derivative with harmonic mean type incidence rate is proposed in this article …

This paper describes the dynamics of hepatitis B by a fractional-order model in the Caputo
sense. The basic results of the fractional hepatitis B model are presented. Two equilibrium …

The current study's aim is to evaluate the dynamics of a Hepatitis B virus (HBV) model with
the class of asymptomatic carriers using two different numerical algorithms and various …

In this paper, a Caputo fractional order HBV humoral and CTL immunity model with more
general mass action incidences is established, the existence and uniqueness of positive …

Mathematical modeling of infectious diseases with non-integer order getting attentions from
scientists and researchers day by day. It is obvious that classical models in epidemiology …

Tuberculosis (TB) is an ailment caused by Mycobacterium tuberculosis. So, by the
continuous spread of TB, this study presents a new mathematical model of TB that …

The purpose of this paper is to investigate the dynamics of the polluted lakes system through
fractional derivative approach in the sense of fractal-fractional operator. Initially, we derive …