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Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering
Asymptotic analysis of a sizestructured cannibalism model with infinite dimensional environmental feedback
1.  Department of Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA, United Kingdom 
2.  Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152 
[1] 
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 
[2] 
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 
[3] 
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 
[4] 
József Z. Farkas, Thomas Hagen. Asymptotic behavior of sizestructured populations via juvenileadult interaction. Discrete and Continuous Dynamical Systems  B, 2008, 9 (2) : 249266. doi: 10.3934/dcdsb.2008.9.249 
[5] 
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 
[6] 
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 
[7] 
H. L. Smith, X. Q. Zhao. Competitive exclusion in a discretetime, sizestructured chemostat model. Discrete and Continuous Dynamical Systems  B, 2001, 1 (2) : 183191. doi: 10.3934/dcdsb.2001.1.183 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
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 
[12] 
Abed Boulouz. A spatially and sizestructured population model with unbounded birth process. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022038 
[13] 
Jacek Banasiak, Wilson Lamb. The discrete fragmentation equation: Semigroups, compactness and asynchronous exponential growth. Kinetic and Related Models, 2012, 5 (2) : 223236. doi: 10.3934/krm.2012.5.223 
[14] 
Jacek Banasiak, Wilson Lamb. Coagulation, fragmentation and growth processes in a size structured population. Discrete and Continuous Dynamical Systems  B, 2009, 11 (3) : 563585. doi: 10.3934/dcdsb.2009.11.563 
[15] 
Horst R. Thieme. Positive perturbation of operator semigroups: growth bounds, essential compactness and asynchronous exponential growth. Discrete and Continuous Dynamical Systems, 1998, 4 (4) : 735764. doi: 10.3934/dcds.1998.4.735 
[16] 
Fadia BekkalBrikci, Khalid Boushaba, Ovide Arino. Nonlinear age structured model with cannibalism. Discrete and Continuous Dynamical Systems  B, 2007, 7 (2) : 201218. doi: 10.3934/dcdsb.2007.7.201 
[17] 
Ian H. Dinwoodie. Computational methods for asynchronous basins. Discrete and Continuous Dynamical Systems  B, 2016, 21 (10) : 33913405. doi: 10.3934/dcdsb.2016103 
[18] 
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 
[19] 
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 
[20] 
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 
2020 Impact Factor: 1.916
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