Hopf bifurcation and chaos of tumor-Lymphatic model with two time delays
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DOI: 10.1016/j.chaos.2022.111922
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References listed on IDEAS
- De Cesare, Luigi & Sportelli, Mario, 2020. "Stability and direction of Hopf bifurcations of a cyclical growth model with two-time delays and one-delay dependent coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Zhou, Haihua & Wang, Zejia & Yuan, Daming & Song, Huijuan, 2021. "Hopf bifurcation of a free boundary problem modeling tumor growth with angiogenesis and two time delays," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
- Li, Kai & Wei, Junjie, 2009. "Stability and Hopf bifurcation analysis of a prey–predator system with two delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2606-2613.
- Chen, Xiaoxiao & Wang, Xuedi, 2019. "Qualitative analysis and control for predator-prey delays system," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 361-372.
- Li, Hui-zhong & Liu, Xiang-dong & Yan, Rui & Liu, Cheng, 2020. "Hopf bifurcation analysis of a tumor virotherapy model with two time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
- Pang, Liuyong & Zhao, Zhong & Song, Xinyu, 2016. "Cost-effectiveness analysis of optimal strategy for tumor treatment," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 293-301.
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Cited by:
- Li, Danyang & Liu, Hua & Zhang, Haotian & Wei, Yumei, 2023. "Influence of multiple delays mechanisms on predator–prey model with Allee effect," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
- Hu, Limi & Qiu, Xiaoling, 2022. "Stability analysis of game models with fixed and stochastic delays," Applied Mathematics and Computation, Elsevier, vol. 435(C).
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Keywords
Time delay; Stability; Hopf bifurcation; Tumor-immune;All these keywords.
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