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A monotoneiterative method for finding periodic solutions of an impulsive competition system on tumornormal 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 TorresEspino, Claudio Vidal. Periodic solutions of a tumorimmune system interaction under a periodic immunotherapy. Discrete & Continuous Dynamical Systems  B, 2021, 26 (8) : 45234547. doi: 10.3934/dcdsb.2020301 
[2] 
Shigui Ruan. Nonlinear dynamics in tumorimmune system interaction models with delays. Discrete & Continuous Dynamical Systems  B, 2021, 26 (1) : 541602. doi: 10.3934/dcdsb.2020282 
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Yuanshi Wang, Hong Wu. Transition of interaction outcomes in a facilitationcompetition system of two species. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 14631475. doi: 10.3934/mbe.2017076 
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Janet Dyson, Rosanna VillellaBressan, G. F. Webb. The evolution of a tumor cord cell population. Communications on Pure & Applied Analysis, 2004, 3 (3) : 331352. doi: 10.3934/cpaa.2004.3.331 
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Martina Conte, Maria Groppi, Giampiero Spiga. Qualitative analysis of kineticbased models for tumorimmune system interaction. Discrete & Continuous Dynamical Systems  B, 2018, 23 (6) : 23932414. doi: 10.3934/dcdsb.2018060 
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Min Yu, Gang Huang, Yueping Dong, Yasuhiro Takeuchi. Complicated dynamics of tumorimmune system interaction model with distributed time delay. Discrete & Continuous Dynamical Systems  B, 2020, 25 (7) : 23912406. doi: 10.3934/dcdsb.2020015 
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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 & Continuous Dynamical Systems  B, 2014, 19 (6) : 15891600. doi: 10.3934/dcdsb.2014.19.1589 
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[9] 
Demou Luo, Qiru Wang. Dynamic analysis on an almost periodic predatorprey system with impulsive effects and time delays. Discrete & Continuous Dynamical Systems  B, 2021, 26 (6) : 34273453. doi: 10.3934/dcdsb.2020238 
[10] 
Hongxia Yin. An iterative method for general variational inequalities. Journal of Industrial & Management Optimization, 2005, 1 (2) : 201209. doi: 10.3934/jimo.2005.1.201 
[11] 
Xiongxiong Bao, WanTong Li, ZhiCheng Wang. Uniqueness and stability of timeperiodic pyramidal fronts for a periodic competitiondiffusion system. Communications on Pure & Applied Analysis, 2020, 19 (1) : 253277. doi: 10.3934/cpaa.2020014 
[12] 
Yangjin Kim, Hans G. Othmer. Hybrid models of cell and tissue dynamics in tumor growth. Mathematical Biosciences & Engineering, 2015, 12 (6) : 11411156. doi: 10.3934/mbe.2015.12.1141 
[13] 
João Fialho, Feliz Minhós. High order periodic impulsive problems. Conference Publications, 2015, 2015 (special) : 446454. doi: 10.3934/proc.2015.0446 
[14] 
Guanghui Hu, Andreas Kirsch, Tao Yin. Factorization method in inverse interaction problems with biperiodic interfaces between acoustic and elastic waves. Inverse Problems & Imaging, 2016, 10 (1) : 103129. doi: 10.3934/ipi.2016.10.103 
[15] 
Jingli Ren, Zhibo Cheng, Stefan Siegmund. Positive periodic solution for Brillouin electron beam focusing system. Discrete & Continuous Dynamical Systems  B, 2011, 16 (1) : 385392. doi: 10.3934/dcdsb.2011.16.385 
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Dan Liu, Shigui Ruan, Deming Zhu. Stable periodic oscillations in a twostage cancer model of tumor and immune system interactions. Mathematical Biosciences & Engineering, 2012, 9 (2) : 347368. doi: 10.3934/mbe.2012.9.347 
[17] 
LiJun Du, WanTong Li, JiaBing Wang. Invasion entire solutions in a time periodic LotkaVolterra competition system with diffusion. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 11871213. doi: 10.3934/mbe.2017061 
[18] 
Aleksa Srdanov, Radiša Stefanović, Aleksandra Janković, Dragan Milovanović. "Reducing the number of dimensions of the possible solution space" as a method for finding the exact solution of a system with a large number of unknowns. Mathematical Foundations of Computing, 2019, 2 (2) : 8393. doi: 10.3934/mfc.2019007 
[19] 
Daniel Vasiliu, Jianjun Paul Tian. Periodic solutions of a model for tumor virotherapy. Discrete & Continuous Dynamical Systems  S, 2011, 4 (6) : 15871597. doi: 10.3934/dcdss.2011.4.1587 
[20] 
Lingling Lv, Zhe Zhang, Lei Zhang, Weishu Wang. An iterative algorithm for periodic sylvester matrix equations. Journal of Industrial & Management Optimization, 2018, 14 (1) : 413425. doi: 10.3934/jimo.2017053 
2019 Impact Factor: 1.27
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