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Chaos in a stochastic cancer model

Author

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  • Fahimi, Milad
  • Nouri, Kazem
  • Torkzadeh, Leila

Abstract

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 essence, and introduce chaotic cancer model in stochastic form. Then we prove the uniqueness and existence of solution on the stochastic system. Moreover, the equilibria of the system is considered. Finally, some numerical simulations are carried out to show the efficiency and adaptation of our model as a function of time.

Suggested Citation

  • Fahimi, Milad & Nouri, Kazem & Torkzadeh, Leila, 2020. "Chaos in a stochastic cancer model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s037843711932120x
    DOI: 10.1016/j.physa.2019.123810
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    References listed on IDEAS

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    1. Xu, Yong & Feng, Jing & Li, JuanJuan & Zhang, Huiqing, 2013. "Stochastic bifurcation for a tumor–immune system with symmetric Lévy noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4739-4748.
    2. Wei, Fengying & Chen, Fangxiang, 2016. "Stochastic permanence of an SIQS epidemic model with saturated incidence and independent random perturbations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 99-107.
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    Cited by:

    1. Singh, Piyush Pratap & Roy, Binoy Krishna, 2022. "Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Hidekazu Yoshioka & Kunihiko Hamagami & Haruka Tomobe, 2023. "A Non-local Fokker-Planck Equation with Application to Probabilistic Evaluation of Sediment Replenishment Projects," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-37, March.
    3. Gabriel Morgado & Annie Lemarchand & Carlo Bianca, 2023. "From Cell–Cell Interaction to Stochastic and Deterministic Descriptions of a Cancer–Immune System Competition Model," Mathematics, MDPI, vol. 11(9), pages 1-25, May.
    4. Dong, Youheng & Zhao, Geng, 2021. "A spatiotemporal chaotic system based on pseudo-random coupled map lattices and elementary cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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