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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 & 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 & 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 & 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 & 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 & Related Models, 2021, 14 (6) : 961980. doi: 10.3934/krm.2021032 
[6] 
Iryna Pankratova, Andrey Piatnitski. Homogenization of convectiondiffusion equation in infinite cylinder. Networks & 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 & 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 & 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 & 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 & 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 & 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 & 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 & 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 & Control Theory, 2021 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 & Control Theory, 2021 doi: 10.3934/eect.2021030 
[16] 
Song Liang, Yuan Lou. On the dependence of population size upon random dispersal rate. Discrete & Continuous Dynamical Systems  B, 2012, 17 (8) : 27712788. doi: 10.3934/dcdsb.2012.17.2771 
[17] 
Jacek Banasiak, Wilson Lamb. Coagulation, fragmentation and growth processes in a size structured population. Discrete & Continuous Dynamical Systems  B, 2009, 11 (3) : 563585. doi: 10.3934/dcdsb.2009.11.563 
[18] 
Genni Fragnelli, A. Idrissi, L. Maniar. The asymptotic behavior of a population equation with diffusion and delayed birth process. Discrete & Continuous Dynamical Systems  B, 2007, 7 (4) : 735754. doi: 10.3934/dcdsb.2007.7.735 
[19] 
Abdelaziz Rhandi, Roland Schnaubelt. Asymptotic behaviour of a nonautonomous population equation with diffusion in $L^1$. Discrete & Continuous Dynamical Systems, 1999, 5 (3) : 663683. doi: 10.3934/dcds.1999.5.663 
[20] 
Moulay Rchid Sidi Ammi, Ismail Jamiai. Finite difference and Legendre spectral method for a timefractional diffusionconvection equation for image restoration. Discrete & Continuous Dynamical Systems  S, 2018, 11 (1) : 103117. doi: 10.3934/dcdss.2018007 
2018 Impact Factor: 1.313
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