Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model

DOI10.1016/j.chaos.2022.112113zbMath1505.37104OpenAlexW4224319878MaRDI QIDQ2113100

Liu Xuan, Ali Akgül, Sayed Saifullah, Aman Ullah, Hai-Dong Qu, Shabir Ahmad

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112113

zbMATH Keywords

chaospredictor-corrector methodbifurcationsfixed point theoremsfractal dimensionhidden attractors

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Fractional derivatives and integrals (26A33) Cell biology (92C37) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Dynamics of a fractional hydrodynamical equation for the Heisenberg paramagnet
• Simple fractional order model structures and their applications in control system design
• Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
• Generalized Lucas polynomial sequence approach for fractional differential equations
• A new adaptive synchronization and hyperchaos control of a biological snap oscillator
• Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator
• Analysis and applications of the proportional Caputo derivative
• Investigation of complex behaviour of fractal fractional chaotic attractor with Mittag-Leffler Kernel
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• Analysis and numerical simulation of fractional model of bank data with fractal-fractional Atangana-Baleanu derivative
• Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays
• TOPOLOGICAL COMPLEXITY AND PREDICTABILITY IN THE DYNAMICS OF A TUMOR GROWTH MODEL WITH SHILNIKOV'S CHAOS
• On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law
• A FRACTAL FRACTIONAL MODEL FOR CERVICAL CANCER DUE TO HUMAN PAPILLOMAVIRUS INFECTION
• Stability analysis of a fractional-order cancer model with chaotic dynamics
• CHAOS IN A THREE-DIMENSIONAL CANCER MODEL

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