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Nonlinear stability of traveling wavefronts in an agestructured reactiondiffusion population model
The role of leaf height in plant competition for sunlight: analysis of a canopy partitioning model
1.  Department of Mathematics, University of California, Los Angeles, CA 90095, United States 
2.  Department of Ecology and Evolutionary Biology, University of California, Los Angeles, CA 90095, United States 
[1] 
Hua Nie, SzeBi Hsu, Jianhua Wu. Coexistence solutions of a competition model with two species in a water column. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 26912714. doi: 10.3934/dcdsb.2015.20.2691 
[2] 
Georg Hetzer, Tung Nguyen, Wenxian Shen. Coexistence and extinction in the VolterraLotka competition model with nonlocal dispersal. Communications on Pure & Applied Analysis, 2012, 11 (5) : 16991722. doi: 10.3934/cpaa.2012.11.1699 
[3] 
Yukio KanOn. Global bifurcation structure of stationary solutions for a LotkaVolterra competition model. Discrete & Continuous Dynamical Systems  A, 2002, 8 (1) : 147162. doi: 10.3934/dcds.2002.8.147 
[4] 
Sebastián Ferrer, Francisco Crespo. Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Journal of Geometric Mechanics, 2014, 6 (4) : 479502. doi: 10.3934/jgm.2014.6.479 
[5] 
Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic & Related Models, 2009, 2 (4) : 707725. doi: 10.3934/krm.2009.2.707 
[6] 
Ibrahim Agyemang, H. I. Freedman. A mathematical model of an AgriculturalIndustrialEcospheric system with industrial competition. Communications on Pure & Applied Analysis, 2009, 8 (5) : 16891707. doi: 10.3934/cpaa.2009.8.1689 
[7] 
Justin P. Peters, Khalid Boushaba, Marit NilsenHamilton. A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme. Mathematical Biosciences & Engineering, 2005, 2 (4) : 789810. doi: 10.3934/mbe.2005.2.789 
[8] 
Suxia Zhang, Xiaxia Xu. A mathematical model for hepatitis B with infectionage structure. Discrete & Continuous Dynamical Systems  B, 2016, 21 (4) : 13291346. doi: 10.3934/dcdsb.2016.21.1329 
[9] 
Zhilan Feng, Robert Swihart, Yingfei Yi, Huaiping Zhu. Coexistence in a metapopulation model with explicit local dynamics. Mathematical Biosciences & Engineering, 2004, 1 (1) : 131145. doi: 10.3934/mbe.2004.1.131 
[10] 
Yunfeng Geng, Xiaoying Wang, Frithjof Lutscher. Coexistence of competing consumers on a single resource in a hybrid model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2020140 
[11] 
Yukio KanOn. Bifurcation structures of positive stationary solutions for a LotkaVolterra competition model with diffusion II: Global structure. Discrete & Continuous Dynamical Systems  A, 2006, 14 (1) : 135148. doi: 10.3934/dcds.2006.14.135 
[12] 
Shuling Yan, Shangjiang Guo. Dynamics of a LotkaVolterra competitiondiffusion model with stage structure and spatial heterogeneity. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15591579. doi: 10.3934/dcdsb.2018059 
[13] 
Faker Ben Belgacem. Uniqueness for an illposed reactiondispersion model. Application to organic pollution in streamwaters. Inverse Problems & Imaging, 2012, 6 (2) : 163181. doi: 10.3934/ipi.2012.6.163 
[14] 
Lijuan Wang, Hongling Jiang, Ying Li. Positive steady state solutions of a plantpollinator model with diffusion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 18051819. doi: 10.3934/dcdsb.2015.20.1805 
[15] 
Jun Zhou. Bifurcation analysis of a diffusive plantwrack model with tide effect on the wrack. Mathematical Biosciences & Engineering, 2016, 13 (4) : 857885. doi: 10.3934/mbe.2016021 
[16] 
Guangyu Sui, Meng Fan, Irakli Loladze, Yang Kuang. The dynamics of a stoichiometric plantherbivore model and its discrete analog. Mathematical Biosciences & Engineering, 2007, 4 (1) : 2946. doi: 10.3934/mbe.2007.4.29 
[17] 
Ya Li, Z. Feng. Dynamics of a plantherbivore model with toxininduced functional response. Mathematical Biosciences & Engineering, 2010, 7 (1) : 149169. doi: 10.3934/mbe.2010.7.149 
[18] 
Avner Friedman, Chuan Xue. A mathematical model for chronic wounds. Mathematical Biosciences & Engineering, 2011, 8 (2) : 253261. doi: 10.3934/mbe.2011.8.253 
[19] 
José Ignacio Tello. Mathematical analysis of a model of morphogenesis. Discrete & Continuous Dynamical Systems  A, 2009, 25 (1) : 343361. doi: 10.3934/dcds.2009.25.343 
[20] 
SzeBi Hsu, FengBin Wang. On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis. Communications on Pure & Applied Analysis, 2011, 10 (5) : 14791501. doi: 10.3934/cpaa.2011.10.1479 
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