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Uniform persistence and periodic solution of chemostattype model with antibiotic
1.  Department of Mathematics, College of Medicine, Third Military Medical University, Chongqing, 400038, China, China 
[1] 
Liang Kong, Tung Nguyen, Wenxian Shen. Effects of localized spatial variations on the uniform persistence and spreading speeds of time periodic two species competition systems. Communications on Pure and Applied Analysis, 2019, 18 (4) : 16131636. doi: 10.3934/cpaa.2019077 
[2] 
Paul L. Salceanu. Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents. Mathematical Biosciences & Engineering, 2011, 8 (3) : 807825. doi: 10.3934/mbe.2011.8.807 
[3] 
Keng Deng, Yixiang Wu. Extinction and uniform strong persistence of a sizestructured population model. Discrete and Continuous Dynamical Systems  B, 2017, 22 (3) : 831840. doi: 10.3934/dcdsb.2017041 
[4] 
Paul L. Salceanu. Robust uniform persistence for structured models of delay differential equations. Discrete and Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021258 
[5] 
P.E. Kloeden, Desheng Li, Chengkui Zhong. Uniform attractors of periodic and asymptotically periodic dynamical systems. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 213232. doi: 10.3934/dcds.2005.12.213 
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Carlota Rebelo, Alessandro Margheri, Nicolas Bacaër. Persistence in some periodic epidemic models with infection age or constant periods of infection. Discrete and Continuous Dynamical Systems  B, 2014, 19 (4) : 11551170. doi: 10.3934/dcdsb.2014.19.1155 
[7] 
Antoine Perasso. Global stability and uniform persistence for an infection loadstructured SI model with exponential growth velocity. Communications on Pure and Applied Analysis, 2019, 18 (1) : 1532. doi: 10.3934/cpaa.2019002 
[8] 
Kazuo Yamazaki, Xueying Wang. Global stability and uniform persistence of the reactionconvectiondiffusion cholera epidemic model. Mathematical Biosciences & Engineering, 2017, 14 (2) : 559579. doi: 10.3934/mbe.2017033 
[9] 
Jianping Gao, Shangjiang Guo, Wenxian Shen. Persistence and time periodic positive solutions of doubly nonlocal FisherKPP equations in time periodic and space heterogeneous media. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 26452676. doi: 10.3934/dcdsb.2020199 
[10] 
Ningning Ye, Zengyun Hu, Zhidong Teng. Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth. Communications on Pure and Applied Analysis, 2022, 21 (4) : 13611384. doi: 10.3934/cpaa.2022022 
[11] 
Zhijun Liu, Weidong Wang. Persistence and periodic solutions of a nonautonomous predatorprey diffusion with Holling III functional response and continuous delay. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 653662. doi: 10.3934/dcdsb.2004.4.653 
[12] 
Masaki Kurokiba, Toshitaka Nagai, T. Ogawa. The uniform boundedness and threshold for the global existence of the radial solution to a driftdiffusion system. Communications on Pure and Applied Analysis, 2006, 5 (1) : 97106. doi: 10.3934/cpaa.2006.5.97 
[13] 
Xinlong Feng, Yinnian He. On uniform in time $H^2$regularity of the solution for the 2D CahnHilliard equation. Discrete and Continuous Dynamical Systems, 2016, 36 (10) : 53875400. doi: 10.3934/dcds.2016037 
[14] 
Michele L. Joyner, Cammey C. Manning, Whitney Forbes, Michelle Maiden, Ariel N. Nikas. A physiologicallybased pharmacokinetic model for the antibiotic ertapenem. Mathematical Biosciences & Engineering, 2016, 13 (1) : 119133. doi: 10.3934/mbe.2016.13.119 
[15] 
Mudassar Imran, Hal L. Smith. A model of optimal dosing of antibiotic treatment in biofilm. Mathematical Biosciences & Engineering, 2014, 11 (3) : 547571. doi: 10.3934/mbe.2014.11.547 
[16] 
Claudianor O. Alves. Existence of periodic solution for a class of systems involving nonlinear wave equations. Communications on Pure and Applied Analysis, 2005, 4 (3) : 487498. doi: 10.3934/cpaa.2005.4.487 
[17] 
Jingli Ren, Zhibo Cheng, Stefan Siegmund. Positive periodic solution for Brillouin electron beam focusing system. Discrete and Continuous Dynamical Systems  B, 2011, 16 (1) : 385392. doi: 10.3934/dcdsb.2011.16.385 
[18] 
Zhibo Cheng, Xiaoxiao Cui. Positive periodic solution for generalized BasenerRoss model. Discrete and Continuous Dynamical Systems  B, 2020, 25 (11) : 43614382. doi: 10.3934/dcdsb.2020101 
[19] 
MiYoung Kim. Uniqueness and stability of positive periodic numerical solution of an epidemic model. Discrete and Continuous Dynamical Systems  B, 2007, 7 (2) : 365375. doi: 10.3934/dcdsb.2007.7.365 
[20] 
GuiDong Li, YongYong Li, XiaoQi Liu, ChunLei Tang. A positive solution of asymptotically periodic Choquard equations with locally defined nonlinearities. Communications on Pure and Applied Analysis, 2020, 19 (3) : 13511365. doi: 10.3934/cpaa.2020066 
2020 Impact Factor: 1.327
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