Very recently, the concept of instantaneous change was extended with the aim to
accommodate prediction of more complex real world problems that could not be predicted or …

Abstract Models of population dynamics are substantially non-Markovian in nature and
exhibit behavior for memory effects. This research study investigates the logistic growth …

Background Tuberculosis (TB), caused by Mycobacterium tuberculosis, is a contagious
infectious disease that primarily targets the lungs but can also impact other critical systems …

Deterministic models in mathematical epidemiology are important tools to comprehend
dynamics of infectious diseases. Theory of ordinary differential equations with first-order …

Dengue fever, a vector-borne disease, has affected the whole world in general and the
Indian subcontinent in particular for the last three decades. Dengue fever has a significant …

We consider a novel fractional model to investigates the (tuberculosis) TB model dynamics
with two age groups of human, that is, the children and the adults. First, we formulate the …

In the present paper, we formulate novel fractional tuberculosis (TB) model with a
generalized Atangana–Baleanu (GAB) fractional derivative. The parameters in this model …

In this paper, we consider a vector-host epidemic model with saturated incidence and
treatment functions. This type of function is biologically more suitable in situations where the …

Whooping cough, or pertussis, is an infectious disease that causes serious threats to people
of all ages, specifically to infant and young children, all over the world. Due to the severe …

This article is devoted to investigate the fractional falling body problem relied on Newton's
second law. We analyze this physical model by means of Atangana-Baleanu fractional …