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 …

Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells

PA Naik, KM Owolabi, M Yavuz, J Zu - Chaos, Solitons & Fractals, 2020 - Elsevier
Mathematical models in epidemiology have been studied in the literature to understand the
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …

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 …

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control

PA Naik, J Zu, KM Owolabi - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed
and analyzed by including extra compartment namely exposed class to the basic SIR …

A stochastic numerical analysis based on hybrid NAR-RBFs networks nonlinear SITR model for novel COVID-19 dynamics

M Shoaib, MAZ Raja, MT Sabir, AH Bukhari… - Computer Methods and …, 2021 - Elsevier
Background: Mathematical modeling of vector-borne diseases and forecasting of epidemics
outbreak are global challenges and big point of concern worldwide. The outbreaks depend …

Non-fractional and fractional mathematical analysis and simulations for Q fever

JKK Asamoah, E Okyere, E Yankson, AA Opoku… - Chaos, Solitons & …, 2022 - Elsevier
The purpose of analysing the transmission dynamism of Q fever (Coxiellosis) in livestock
and incorporating ticks is to outline some management practices to minimise the spread of …

The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

B Maayah, A Moussaoui, S Bushnaq… - Demonstratio …, 2022 - degruyter.com
COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently,
researchers have been concentrating their efforts on understanding the complex dynamics …

Analysis of fractional blood alcohol model with composite fractional derivative

J Singh - Chaos, Solitons & Fractals, 2020 - Elsevier
The present article deals with certain new and interesting features of fractional blood alcohol
model associated with powerful Hilfer fractional operator. The solution of the model depends …

[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 …