New concept in calculus: Piecewise differential and integral operators

A Atangana, Sİ Araz - Chaos, Solitons & Fractals, 2021 - Elsevier
In the last decades, many methodologies have been suggested to depict behaviors of some
complex world's problems arising in many academic fields. One of these problems is the …

Modeling SARS-CoV-2 and HBV co-dynamics with optimal control

A Omame, M Abbas - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
Clinical reports have shown that chronic hepatitis B virus (HBV) patients co-infected with
SARS-CoV-2 have a higher risk of complications with liver disease than patients without …

[HTML][HTML] Fractional-order modelling and analysis of diabetes mellitus: Utilizing the Atangana-Baleanu Caputo (ABC) operator

P Yadav, S Jahan, K Shah, OJ Peter… - Alexandria Engineering …, 2023 - Elsevier
This article aims to introduce and analyze a diabetes mellitus model of fractional order,
utilizing the ABC derivative. Diabetes mellitus is a prevalent and significant disease …

A new fractional HRSV model and its optimal control: a non-singular operator approach

A Jajarmi, A Yusuf, D Baleanu, M Inc - Physica A: Statistical Mechanics and …, 2020 - Elsevier
In the current work, a fractional version of SIRS model is extensively investigated for the
HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo …

An optimal control model for COVID‐19, zika, dengue, and chikungunya co‐dynamics with reinfection

A Omame, ME Isah, M Abbas - Optimal Control Applications …, 2023 - Wiley Online Library
The co‐circulation of different emerging viral diseases is a big challenge from an
epidemiological point of view. The similarity of symptoms, cases of virus co‐infection, and …

[HTML][HTML] A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag-Leffler function

A Omame, UK Nwajeri, M Abbas… - Alexandria Engineering …, 2022 - Elsevier
The aim of this paper is to present and analyze the fractional optimal control model for
COVID-19 and diabetes co-dynamics, using the Atangana-Baleanu derivative. The positivity …

A case study of monkeypox disease in the United States using mathematical modeling with real data

P Kumar, M Vellappandi, ZA Khan… - … and Computers in …, 2023 - Elsevier
In this article, we propose the mathematical modeling of monkeypox, a viral zoonotic
disease, to study its near outbreaks in the United States. We use integer and fractional …

COVID-19 and dengue co-infection in Brazil: optimal control and cost-effectiveness analysis

A Omame, H Rwezaura, ML Diagne, SC Inyama… - The European Physical …, 2021 - Springer
A mathematical model for the co-interaction of COVID-19 and dengue transmission
dynamics is formulated and analyzed. The sub-models are shown to be locally …

Fractional-order modeling and optimal control of a new online game addiction model based on real data

Y Guo, T Li - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
The spread of online games has become more and more serious in recent years, which not
only endangers the healthy growth of young people, but also has a certain potential harm to …

[HTML][HTML] Viral dynamics and control of hepatitis B virus (HBV) using an epidemic model

A Din, Y Li, Q Liu - Alexandria Engineering Journal, 2020 - Elsevier
In this research article, the authors intend to develop and analyze an epidemic model that
describes the progression of acute and chronic HBV in a population. The threshold number …