Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan

PA Naik, M Yavuz, S Qureshi, J Zu… - The European Physical …, 2020 - Springer
Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to
severe respiratory distress, and they can be seen in different types of animals such as …

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 …

[HTML][HTML] Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom

F Özköse, M Yavuz, MT Şenel, R Habbireeh - Chaos, Solitons & Fractals, 2022 - Elsevier
In this study, a new approach to COVID-19 pandemic is presented. In this context, a
fractional order pandemic model is developed to examine the spread of COVID-19 with and …

Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect

PA Naik, Z Eskandari, M Yavuz, J Zu - Journal of Computational and …, 2022 - Elsevier
The present paper investigates the critical normal form coefficients for the one-parameter
and two-parameter bifurcations of a discrete-time Bazykin–Berezovskaya prey-predator …

Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: A case study in Turkey

F Özköse, M Yavuz - Computers in biology and medicine, 2022 - Elsevier
In the present paper, interactions between COVID-19 and diabetes are investigated using
real data from Turkey. Firstly, a fractional order pandemic model is developed both to …

Bifurcation analysis and complex dynamics of a Kopel triopoly model

B Li, Y Zhang, X Li, Z Eskandari, Q He - Journal of Computational and …, 2023 - Elsevier
In this paper, a novel type of generalized Kopel triopoly model is presented to reveal the
complex dynamics and transitions between different dynamic behaviors. First, based on …

Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay

R Ikram, A Khan, M Zahri, A Saeed, M Yavuz… - Computers in Biology …, 2022 - Elsevier
We reformulate a stochastic epidemic model consisting of four human classes. We show that
there exists a unique positive solution to the proposed model. The stochastic basic …

[HTML][HTML] A new fractional mathematical model to study the impact of vaccination on COVID-19 outbreaks

S Bhatter, K Jangid, A Abidemi, KM Owolabi… - Decision Analytics …, 2023 - Elsevier
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 …

[HTML][HTML] A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign

M Yavuz, FÖ Coşar, F Günay, FN Özdemir - Open Journal of Modelling …, 2021 - scirp.org
In a short time, many illustrative studies have been conducted on the mathematical modeling
and analysis of COVID-19. There are not enough studies taking into account the vaccine …

European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels

M Yavuz - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …