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A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction
1. | College of Mathematics and Information Science, Shanxi Normal University, Xi'an 710062, China |
2. | Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, China |
3. | Research Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049, China |
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Gladis Torres-Espino, Claudio Vidal. Periodic solutions of a tumor-immune system interaction under a periodic immunotherapy. Discrete and Continuous Dynamical Systems - B, 2021, 26 (8) : 4523-4547. doi: 10.3934/dcdsb.2020301 |
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Li Xie, Shigui Ruan. On a macrophage and tumor cell chemotaxis system with both paracrine and autocrine loops. Communications on Pure and Applied Analysis, 2022, 21 (4) : 1447-1479. doi: 10.3934/cpaa.2022025 |
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Shigui Ruan. Nonlinear dynamics in tumor-immune system interaction models with delays. Discrete and Continuous Dynamical Systems - B, 2021, 26 (1) : 541-602. doi: 10.3934/dcdsb.2020282 |
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Yuanshi Wang, Hong Wu. Transition of interaction outcomes in a facilitation-competition system of two species. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 1463-1475. doi: 10.3934/mbe.2017076 |
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Jacob Ashiwere Abuchu, Godwin Chidi Ugwunnadi, Ojen Kumar Narain. Inertial Mann-Type iterative method for solving split monotone variational inclusion problem with applications. Journal of Industrial and Management Optimization, 2022 doi: 10.3934/jimo.2022075 |
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M. Guedda, R. Kersner, M. Klincsik, E. Logak. Exact wavefronts and periodic patterns in a competition system with nonlinear diffusion. Discrete and Continuous Dynamical Systems - B, 2014, 19 (6) : 1589-1600. doi: 10.3934/dcdsb.2014.19.1589 |
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Mohammad Eslamian, Ahmad Kamandi. A novel algorithm for approximating common solution of a system of monotone inclusion problems and common fixed point problem. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021210 |
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Yangjin Kim, Hans G. Othmer. Hybrid models of cell and tissue dynamics in tumor growth. Mathematical Biosciences & Engineering, 2015, 12 (6) : 1141-1156. doi: 10.3934/mbe.2015.12.1141 |
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Xiongxiong Bao, Wan-Tong Li, Zhi-Cheng Wang. Uniqueness and stability of time-periodic pyramidal fronts for a periodic competition-diffusion system. Communications on Pure and Applied Analysis, 2020, 19 (1) : 253-277. doi: 10.3934/cpaa.2020014 |
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Miao Yu, Haoyang Lu, Weipeng Shang. A new iterative identification method for damping control of power system in multi-interference. Discrete and Continuous Dynamical Systems - S, 2020, 13 (6) : 1773-1790. doi: 10.3934/dcdss.2020104 |
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Demou Luo, Qiru Wang. Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays. Discrete and Continuous Dynamical Systems - B, 2021, 26 (6) : 3427-3453. doi: 10.3934/dcdsb.2020238 |
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Hongxia Yin. An iterative method for general variational inequalities. Journal of Industrial and Management Optimization, 2005, 1 (2) : 201-209. doi: 10.3934/jimo.2005.1.201 |
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Guanghui Hu, Andreas Kirsch, Tao Yin. Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves. Inverse Problems and Imaging, 2016, 10 (1) : 103-129. doi: 10.3934/ipi.2016.10.103 |
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Jingli Ren, Zhibo Cheng, Stefan Siegmund. Positive periodic solution for Brillouin electron beam focusing system. Discrete and Continuous Dynamical Systems - B, 2011, 16 (1) : 385-392. doi: 10.3934/dcdsb.2011.16.385 |
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Dan Liu, Shigui Ruan, Deming Zhu. Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Mathematical Biosciences & Engineering, 2012, 9 (2) : 347-368. doi: 10.3934/mbe.2012.9.347 |
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João Fialho, Feliz Minhós. High order periodic impulsive problems. Conference Publications, 2015, 2015 (special) : 446-454. doi: 10.3934/proc.2015.0446 |
2021 Impact Factor: 1.497
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