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First numerical evidence of global Arnold diffusion in quasi-integrable systems
A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat
1. | Department of Mathematics, National Tsing-Hua University, Hsin-Chu 30043, Taiwan |
2. | Holistic Education Center, St. John's and St. Mary's Institute of Technology, Tam-Shui 25135, Taiwan |
[1] |
Hua Nie, Jianhua Wu. The effect of toxins on the plasmid-bearing and plasmid-free model in the unstirred chemostat. Discrete and Continuous Dynamical Systems, 2012, 32 (1) : 303-329. doi: 10.3934/dcds.2012.32.303 |
[2] |
Sanling Yuan, Yongli Song, Junhui Li. Oscillations in a plasmid turbidostat model with delayed feedback control. Discrete and Continuous Dynamical Systems - B, 2011, 15 (3) : 893-914. doi: 10.3934/dcdsb.2011.15.893 |
[3] |
Jaroslaw Smieja, Marzena Dolbniak. Sensitivity of signaling pathway dynamics to plasmid transfection and its consequences. Mathematical Biosciences & Engineering, 2016, 13 (6) : 1207-1222. doi: 10.3934/mbe.2016039 |
[4] |
Eva Stadler, Johannes Müller. Analyzing plasmid segregation: Existence and stability of the eigensolution in a non-compact case. Discrete and Continuous Dynamical Systems - B, 2020, 25 (11) : 4127-4164. doi: 10.3934/dcdsb.2020091 |
[5] |
Shihe Xu. Analysis of a delayed free boundary problem for tumor growth. Discrete and Continuous Dynamical Systems - B, 2011, 15 (1) : 293-308. doi: 10.3934/dcdsb.2011.15.293 |
[6] |
Zhiqi Lu. Global stability for a chemostat-type model with delayed nutrient recycling. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 663-670. doi: 10.3934/dcdsb.2004.4.663 |
[7] |
Gonzalo Robledo. Feedback stabilization for a chemostat with delayed output. Mathematical Biosciences & Engineering, 2009, 6 (3) : 629-647. doi: 10.3934/mbe.2009.6.629 |
[8] |
M. R. S. Kulenović, Orlando Merino. A global attractivity result for maps with invariant boxes. Discrete and Continuous Dynamical Systems - B, 2006, 6 (1) : 97-110. doi: 10.3934/dcdsb.2006.6.97 |
[9] |
Y. Chen, L. Wang. Global attractivity of a circadian pacemaker model in a periodic environment. Discrete and Continuous Dynamical Systems - B, 2005, 5 (2) : 277-288. doi: 10.3934/dcdsb.2005.5.277 |
[10] |
Yu Ji, Lan Liu. Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate. Discrete and Continuous Dynamical Systems - B, 2016, 21 (1) : 133-149. doi: 10.3934/dcdsb.2016.21.133 |
[11] |
Alain Rapaport, Jérôme Harmand. Biological control of the chemostat with nonmonotonic response and different removal rates. Mathematical Biosciences & Engineering, 2008, 5 (3) : 539-547. doi: 10.3934/mbe.2008.5.539 |
[12] |
Hai-Xia Li, Jian-Hua Wu, Yan-Ling Li, Chun-An Liu. Positive solutions to the unstirred chemostat model with Crowley-Martin functional response. Discrete and Continuous Dynamical Systems - B, 2018, 23 (8) : 2951-2966. doi: 10.3934/dcdsb.2017128 |
[13] |
Xingwang Yu, Sanling Yuan. Asymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbation. Discrete and Continuous Dynamical Systems - B, 2020, 25 (7) : 2373-2390. doi: 10.3934/dcdsb.2020014 |
[14] |
Gérard Gagneux, Olivier Millet. A geological delayed response model for stratigraphic reconstructions. Discrete and Continuous Dynamical Systems - S, 2016, 9 (2) : 457-474. doi: 10.3934/dcdss.2016007 |
[15] |
Zuowei Cai, Jianhua Huang, Liu Yang, Lihong Huang. Periodicity and stabilization control of the delayed Filippov system with perturbation. Discrete and Continuous Dynamical Systems - B, 2020, 25 (4) : 1439-1467. doi: 10.3934/dcdsb.2019235 |
[16] |
Mohamed Dellal, Bachir Bar. Global analysis of a model of competition in the chemostat with internal inhibitor. Discrete and Continuous Dynamical Systems - B, 2021, 26 (2) : 1129-1148. doi: 10.3934/dcdsb.2020156 |
[17] |
Dongxi Li, Ni Zhang, Ming Yan, Yanya Xing. Survival analysis for tumor growth model with stochastic perturbation. Discrete and Continuous Dynamical Systems - B, 2021, 26 (10) : 5707-5722. doi: 10.3934/dcdsb.2021041 |
[18] |
Frederic Mazenc, Gonzalo Robledo, Michael Malisoff. Stability and robustness analysis for a multispecies chemostat model with delays in the growth rates and uncertainties. Discrete and Continuous Dynamical Systems - B, 2018, 23 (4) : 1851-1872. doi: 10.3934/dcdsb.2018098 |
[19] |
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) : 1361-1384. doi: 10.3934/cpaa.2022022 |
[20] |
Brittni Hall, Xiaoying Han, Peter E. Kloeden, Hans-Werner van Wyk. A nonautonomous chemostat model for the growth of gut microbiome with varying nutrient. Discrete and Continuous Dynamical Systems - S, 2022 doi: 10.3934/dcdss.2022075 |
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