Chaos in a cancer model via fractional derivatives with exponential decay and Mittag-Leffler law

JF Gómez-Aguilar, MG López-López… - Entropy, 2017 - mdpi.com
In this paper, a three-dimensional cancer model was considered using the Caputo-Fabrizio-
Caputo and the new fractional derivative with Mittag-Leffler kernel in Liouville-Caputo sense …

The dynamics of a fractional-order mathematical model of cancer tumor disease

M Abaid Ur Rehman, J Ahmad, A Hassan… - Symmetry, 2022 - mdpi.com
This article explores the application of the reduced differential transform method (RDTM) for
the computational solutions of two fractional-order cancer tumor models in the Caputo …

Control and numerical analysis for cancer chaotic system

J Iqbal, S Ahmad, M Marwan, M Shaukat - Archive of Applied Mechanics, 2020 - Springer
This article investigates the problem of control of chaotic dynamics of tumor cells, immune
system cells, and healthy tissue cells in a three-dimensional cancer model by adaptive …

Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria

PP Singh, BK Roy - Chaos, Solitons & Fractals, 2022 - Elsevier
The objective of this paper is to study the chaos and multistability behaviors in a 4D
dissipative chaotic cancer growth/decay model. The 4D chaotic cancer growth/decay model …

[PDF][PDF] Mathematical modeling for solving fractional model cancer bosom malignant growth

SAM Abdelmohsen, DS Mohamed, HA Alyousef… - AIMS …, 2023 - aimspress.com
Mathematical modeling for solving fractional model cancer bosom malignant growth Page 1
AIMS Biophysics, 10(3): 263–280. DOI: 10.3934/biophy.2023018 Received: 29 June 2023 …

Conservative chaos in a class of nonconservative systems: Theoretical analysis and numerical demonstrations

S Cang, A Wu, R Zhang, Z Wang… - International Journal of …, 2018 - World Scientific
This paper proposes a class of nonlinear systems and presents one example system to
illustrate its interesting dynamics, including quasiperiodic motion and chaos. It is found that …

Chaos in a stochastic cancer model

M Fahimi, K Nouri, L Torkzadeh - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
In this paper we develop and analyze a three dimensional cancer model based on the
chaotic behavior. Firstly we construct stochastic environment because of parameters random …

On new fractional-order cancer model: bifurcations and chaos

N Debbouche, A Ouannas - 2021 International Conference on …, 2021 - ieeexplore.ieee.org
In this work, the nonlinear dynamics of the fractional-order cancer tumor growth model are
investigated. The stability of the equilibrium points of the proposed fractional system is …

Study of a periodically forced magnetohydrodynamic system using Floquet analysis and nonlinear Galerkin modelling

A Basak - Nonlinear Dynamics, 2018 - Springer
We present a detailed study of Rayleigh–Bénard magnetoconvection with periodic gravity
modulation and uniform vertical magnetic field. Linear stability analysis is carried out using …

[HTML][HTML] Switching of behavior: From hyperchaotic to controlled magnetoconvection model

J Ayub, M Aqeel, JN Abbasi, DA Sunny, Z Rana - AIP Advances, 2019 - pubs.aip.org
The switching of behavior, from the hyperchaotic to controlled magnetoconvection model, is
studied by a feedback control technique. The magnetoconvection model shows …