[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 …

Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via Hilfer fractional derivative

H Joshi, BK Jha - Mathematical Modelling and Numerical Simulation …, 2021 - dergipark.org.tr
Calcium is a vital element in our body and plays a crucial role to moderate the calcium
signalling process. Calcium-dependent protein and flux through the sodium-calcium …

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 …

On Solutions of Fractional‐Order Gas Dynamics Equation by Effective Techniques

N Iqbal, A Akgül, R Shah, A Bariq… - Journal of Function …, 2022 - Wiley Online Library
In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …

Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model

PA Naik, Z Eskandari, HE Shahraki - Mathematical Modelling and …, 2021 - dergipark.org.tr
This paper focuses on introducing a two-dimensional discrete-time chemical model and the
existence of its fixed points. Also, the one and two-parameter bifurcations of the model are …

A computational approach for shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators

P Veeresha, M Yavuz, C Baishya - … of Optimization and Control: Theories & …, 2021 - ijocta.org
Abstract The Korteweg–De Vries (KdV) equation has always provided a venue to study and
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …

A fractional modeling of tumor–immune system interaction related to lung cancer with real data

F Özköse, S Yılmaz, M Yavuz, İ Öztürk… - The European Physical …, 2022 - Springer
In this study, we investigate a new fractional-order mathematical model which considers
population dynamics among tumor cells-macrophage cells-active macrophage cells, and …