Bifurcation, multistability in the dynamics of tumor growth and electronic simulations by the use of Pspice

DOI10.1016/j.chaos.2020.109689zbMath1483.92080OpenAlexW3011029903MaRDI QIDQ2120476

Frederick Biya-Motto, Florent Feudjio Kemwoue, Rose Ngono Mballa, Jacque Atangana, Carlos Lawrence Gninzanlong, Marcel Wouapi Kemayou, Jean Marie Dongo, Bouchra Mokhtari

Publication date: 31 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109689

zbMATH Keywords

periodic solutionHopf bifurcationbifurcation diagramintermittentmultistabilitycrisis

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Cell biology (92C37)

Related Items

Hyperchaotic Oscillation and Multistability in a Fourth Order Smooth Chua System with Implementation Using No Analog Multipliers, Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect, Dynamics of a Mathematical Model of Cancer and Immunoediting Scenarios Under the Variation of the Immune Cell Activation Rate, Bifurcation and chaos analysis of tumor growth, Multistability of Globally Coupled Duffing Oscillators, Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria, Effects of delay in a biological environment subject to tumor dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analog circuit design and optimal synchronization of a modified Rayleigh system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic orbits as the skeleton of classical and quantum chaos
• The subcritical collapse of predator populations in discrete-time predator-prey models
• The dynamics of an optimally controlled tumor model: A case study
• Should all the species of a food chain be counted to investigate the global dynamics?
• What can be learned from a chaotic cancer model?
• Bifurcation structure of a three-species food chain model
• Tumour-host dynamics under radiotherapy
• Tumor evasion from immune control: Strategies of a MISS to become a MASS
• The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
• How the choice of the observable may influence the analysis of nonlinear dynamical systems
• Hopf bifurcation, cascade of period-doubling, chaos, and the possibility of cure in a 3D cancer model
• Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations
• Avoiding healthy cells extinction in a cancer model
• A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach
• Chaos: An Ecological Reality?
• CHAOS IN A THREE-DIMENSIONAL CANCER MODEL
• Multiple attractors and boundary crises in a tri-trophic food chain
• Dynamics with riddled basins of attraction in models of interacting populations
• Optimal control of the genital herpes epidemic