Dynamics in a tumor immune system with time delays
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DOI: 10.1016/j.amc.2014.11.096
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- Rihan, F.A. & Abdel Rahman, D.H. & Lakshmanan, S. & Alkhajeh, A.S., 2014. "A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 606-623.
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- Liu, Xiangdong & Li, Qingze & Pan, Jianxin, 2018. "A deterministic and stochastic model for the system dynamics of tumor–immune responses to chemotherapy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 162-176.
- Dzyubak, Larysa & Dzyubak, Oleksandr & Awrejcewicz, Jan, 2023. "Nonlinear multiscale diffusion cancer invasion model with memory of states," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
- Yi Xie & Ziheng Zhang & Yan Wu & Shuang Li & Liuyong Pang & Yong Li, 2024. "Time-Delay Dynamic Model and Cost-Effectiveness Analysis of Major Emergent Infectious Diseases with Transportation-Related Infection and Entry-Exit Screening," Mathematics, MDPI, vol. 12(13), pages 1-25, July.
- Li, Jianquan & Xie, Xin & Chen, Yuming & Zhang, Dian, 2021. "Complex dynamics of a tumor-immune system with antigenicity," Applied Mathematics and Computation, Elsevier, vol. 400(C).
- Duan, Wei-Long & Lin, Ling, 2021. "Noise and delay enhanced stability in tumor-immune responses to chemotherapy system," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
- Dehingia, Kaushik & Das, Parthasakha & Upadhyay, Ranjit Kumar & Misra, Arvind Kumar & Rihan, Fathalla A. & Hosseini, Kamyar, 2023. "Modelling and analysis of delayed tumour–immune system with hunting T-cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 669-684.
- Rihan, F.A. & Velmurugan, G., 2020. "Dynamics of fractional-order delay differential model for tumor-immune system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
- Hu, Qing & Hu, Zhixing & Liao, Fucheng, 2016. "Stability and Hopf bifurcation in a HIV-1 infection model with delays and logistic growth," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 128(C), pages 26-41.
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Keywords
Tumor–immune system interaction; Delay differential equations; Stable periodic oscillation; Hopf bifurcation; Heteroclinic cycle; Stabilization;All these keywords.
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