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Competitive exclusion in a discretetime, sizestructured chemostat model
1.  Department of Mathematics, Arizona State University, Tempe, AZ 852871804, United States 
2.  Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, NF A1C 5S7, Canada 
[1] 
Dan Zhang, Xiaochun Cai, Lin Wang. Complex dynamics in a discretetime sizestructured chemostat model with inhibitory kinetics. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 34393451. doi: 10.3934/dcdsb.2018327 
[2] 
Dongxue Yan, Xianlong Fu. Longtime behavior of a sizestructured population model with diffusion and delayed birth process. Evolution Equations and Control Theory, 2022, 11 (3) : 895923. doi: 10.3934/eect.2021030 
[3] 
Dongxue Yan, Xianlong Fu. Asymptotic behavior of a hierarchical sizestructured population model. Evolution Equations and Control Theory, 2018, 7 (2) : 293316. doi: 10.3934/eect.2018015 
[4] 
Xianlong Fu, Dongmei Zhu. Stability analysis for a sizestructured juvenileadult population model. Discrete and Continuous Dynamical Systems  B, 2014, 19 (2) : 391417. doi: 10.3934/dcdsb.2014.19.391 
[5] 
Xianlong Fu, Dongmei Zhu. Stability results for a sizestructured population model with delayed birth process. Discrete and Continuous Dynamical Systems  B, 2013, 18 (1) : 109131. doi: 10.3934/dcdsb.2013.18.109 
[6] 
Jixun Chu, Pierre Magal. Hopf bifurcation for a sizestructured model with resting phase. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 48914921. doi: 10.3934/dcds.2013.33.4891 
[7] 
Yunfei Lv, Yongzhen Pei, Rong Yuan. On a nonlinear sizestructured population model. Discrete and Continuous Dynamical Systems  B, 2020, 25 (8) : 31113133. doi: 10.3934/dcdsb.2020053 
[8] 
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 
[9] 
Abed Boulouz. A spatially and sizestructured population model with unbounded birth process. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022038 
[10] 
Alain Rapaport, Mario Veruete. A new proof of the competitive exclusion principle in the chemostat. Discrete and Continuous Dynamical Systems  B, 2019, 24 (8) : 37553764. doi: 10.3934/dcdsb.2018314 
[11] 
Yanxia Dang, Zhipeng Qiu, Xuezhi Li. Competitive exclusion in an infectionage structured vectorhost epidemic model. Mathematical Biosciences & Engineering, 2017, 14 (4) : 901931. doi: 10.3934/mbe.2017048 
[12] 
Mustapha MokhtarKharroubi, Quentin Richard. Spectral theory and time asymptotics of sizestructured twophase population models. Discrete and Continuous Dynamical Systems  B, 2020, 25 (8) : 29693004. doi: 10.3934/dcdsb.2020048 
[13] 
József Z. Farkas, Thomas Hagen. Asymptotic analysis of a sizestructured cannibalism model with infinite dimensional environmental feedback. Communications on Pure and Applied Analysis, 2009, 8 (6) : 18251839. doi: 10.3934/cpaa.2009.8.1825 
[14] 
Dongxue Yan, Xianlong Fu. Asymptotic analysis of a spatially and sizestructured population model with delayed birth process. Communications on Pure and Applied Analysis, 2016, 15 (2) : 637655. doi: 10.3934/cpaa.2016.15.637 
[15] 
Qihua Huang, Hao Wang. A toxinmediated sizestructured population model: Finite difference approximation and wellposedness. Mathematical Biosciences & Engineering, 2016, 13 (4) : 697722. doi: 10.3934/mbe.2016015 
[16] 
Azmy S. Ackleh, Vinodh K. Chellamuthu, Kazufumi Ito. Finite difference approximations for measurevalued solutions of a hierarchically sizestructured population model. Mathematical Biosciences & Engineering, 2015, 12 (2) : 233258. doi: 10.3934/mbe.2015.12.233 
[17] 
Dongxue Yan, Yu Cao, Xianlong Fu. Asymptotic analysis of a sizestructured cannibalism population model with delayed birth process. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 19751998. doi: 10.3934/dcdsb.2016032 
[18] 
Horst R. Thieme. Discretetime dynamics of structured populations via Feller kernels. Discrete and Continuous Dynamical Systems  B, 2022, 27 (2) : 10911119. doi: 10.3934/dcdsb.2021082 
[19] 
Azmy S. Ackleh, H.T. Banks, Keng Deng, Shuhua Hu. Parameter Estimation in a Coupled System of Nonlinear SizeStructured Populations. Mathematical Biosciences & Engineering, 2005, 2 (2) : 289315. doi: 10.3934/mbe.2005.2.289 
[20] 
L. M. Abia, O. Angulo, J.C. LópezMarcos. Sizestructured population dynamics models and their numerical solutions. Discrete and Continuous Dynamical Systems  B, 2004, 4 (4) : 12031222. doi: 10.3934/dcdsb.2004.4.1203 
2020 Impact Factor: 1.327
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