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Evolution of dispersal and the ideal free distribution
Structured populations with diffusion in state space
1.  School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, United States 
[1] 
Rong Liu, FengQin Zhang, Yuming Chen. Optimal contraception control for a nonlinear population model with size structure and a separable mortality. Discrete and Continuous Dynamical Systems  B, 2016, 21 (10) : 36033618. doi: 10.3934/dcdsb.2016112 
[2] 
Jibin Li, Yi Zhang. On the traveling wave solutions for a nonlinear diffusionconvection equation: Dynamical system approach. Discrete and Continuous Dynamical Systems  B, 2010, 14 (3) : 11191138. doi: 10.3934/dcdsb.2010.14.1119 
[3] 
Inwon C. Kim, Helen K. Lei. Degenerate diffusion with a drift potential: A viscosity solutions approach. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 767786. doi: 10.3934/dcds.2010.27.767 
[4] 
Xing Liang, Lei Zhang. The optimal distribution of resources and rate of migration maximizing the population size in logistic model with identical migration. Discrete and Continuous Dynamical Systems  B, 2021, 26 (4) : 20552065. doi: 10.3934/dcdsb.2020280 
[5] 
Philippe Laurençot, Christoph Walker. The fragmentation equation with size diffusion: Small and large size behavior of stationary solutions. Kinetic and Related Models, 2021, 14 (6) : 961980. doi: 10.3934/krm.2021032 
[6] 
Iryna Pankratova, Andrey Piatnitski. Homogenization of convectiondiffusion equation in infinite cylinder. Networks and Heterogeneous Media, 2011, 6 (1) : 111126. doi: 10.3934/nhm.2011.6.111 
[7] 
Vitali Vougalter, Vitaly Volpert. On the solvability conditions for the diffusion equation with convection terms. Communications on Pure and Applied Analysis, 2012, 11 (1) : 365373. doi: 10.3934/cpaa.2012.11.365 
[8] 
Yueding Yuan, Zhiming Guo, Moxun Tang. A nonlocal diffusion population model with age structure and Dirichlet boundary condition. Communications on Pure and Applied Analysis, 2015, 14 (5) : 20952115. doi: 10.3934/cpaa.2015.14.2095 
[9] 
Md. Rabiul Haque, Takayoshi Ogawa, Ryuichi Sato. Existence of weak solutions to a convection–diffusion equation in a uniformly local lebesgue space. Communications on Pure and Applied Analysis, 2020, 19 (2) : 677697. doi: 10.3934/cpaa.2020031 
[10] 
Iryna Pankratova, Andrey Piatnitski. On the behaviour at infinity of solutions to stationary convectiondiffusion equation in a cylinder. Discrete and Continuous Dynamical Systems  B, 2009, 11 (4) : 935970. doi: 10.3934/dcdsb.2009.11.935 
[11] 
Suman Kumar Sahoo, Manmohan Vashisth. A partial data inverse problem for the convectiondiffusion equation. Inverse Problems and Imaging, 2020, 14 (1) : 5375. doi: 10.3934/ipi.2019063 
[12] 
Liviu I. Ignat, Ademir F. Pazoto. Large time behaviour for a nonlocal diffusion  convection equation related with gas dynamics. Discrete and Continuous Dynamical Systems, 2014, 34 (9) : 35753589. doi: 10.3934/dcds.2014.34.3575 
[13] 
Chunpeng Wang, Yanan Zhou, Runmei Du, Qiang Liu. Carleman estimate for solutions to a degenerate convectiondiffusion equation. Discrete and Continuous Dynamical Systems  B, 2018, 23 (10) : 42074222. doi: 10.3934/dcdsb.2018133 
[14] 
Soumen Senapati, Manmohan Vashisth. Stability estimate for a partial data inverse problem for the convectiondiffusion equation. Evolution Equations and Control Theory, 2022, 11 (5) : 16811699. doi: 10.3934/eect.2021060 
[15] 
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 
[16] 
Manoj Kumar, Syed Abbas. Diffusive sizestructured population model with timevarying diffusion rate. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022128 
[17] 
Genni Fragnelli, A. Idrissi, L. Maniar. The asymptotic behavior of a population equation with diffusion and delayed birth process. Discrete and Continuous Dynamical Systems  B, 2007, 7 (4) : 735754. doi: 10.3934/dcdsb.2007.7.735 
[18] 
Abdelaziz Rhandi, Roland Schnaubelt. Asymptotic behaviour of a nonautonomous population equation with diffusion in $L^1$. Discrete and Continuous Dynamical Systems, 1999, 5 (3) : 663683. doi: 10.3934/dcds.1999.5.663 
[19] 
Song Liang, Yuan Lou. On the dependence of population size upon random dispersal rate. Discrete and Continuous Dynamical Systems  B, 2012, 17 (8) : 27712788. doi: 10.3934/dcdsb.2012.17.2771 
[20] 
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 
2018 Impact Factor: 1.313
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