This study proposes a new fractional mathematical model to study the impact of vaccination
on COVID-19 outbreaks by categorizing infected people into non-vaccinated, first dose …

In this paper, a non-singular SIR model with the Mittag-Leffler law is proposed. The
nonlinear Beddington-DeAngelis infection rate and Holling type II treatment rate are used …

In this paper, we construct the SV1V2EIR model to reveal the impact of two-dose vaccination
on COVID-19 by using Caputo fractional derivative. The feasibility region of the proposed …

Mathematical tools called differential and integral operators are used to model real world
problems in all fields of science as they are able to replicate some behaviors observed in …

A mathematical model to estimate transmission dynamics of COVID-19 is developed. A real
data of confirmed cases for Ethiopia is used for parameter estimation via model fitting …

Tuberculosis (TB) is one of the most dangerous infectious diseases which spreads from one
person to another through the air and often attacks the lungs. A mathematical model of TB …

It is undeniable that HIV infection has been a censorious public health concern over the past
four decades. It is reported that HIV is the main reason for AIDs which has decimated the …

To capture more complexities associated to the spread of Covid-19 within a given
population, we considered a system of nine differential equations that include a class of …

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 …

In this paper, a seven-dimensional nonlinear mathematical model featuring the vertical
transmission in humans, saturated incidence functions, and human population with good …