American Institute of Mathematical Sciences

November  2014, 34(11): 4989-4995. doi: 10.3934/dcds.2014.34.4989

Corrigendum: Dynamics of a reaction-diffusion-advection model for two competing species

 1 Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260 2 Mathematical Biosciences Institute, Ohio State University, Columbus, OH 43210, United States 3 Department of Mathematics, Mathematical Bioscience Institute, Ohio State University, Columbus, Ohio 43210

Received  December 2013 Revised  December 2013 Published  May 2014

We provide a corrected proof of [4, Theorem 2.2], which preserves the validity of the theorem exactly under those assumptions as stated in the original paper.
Citation: Xinfu Chen, King-Yeung Lam, Yuan Lou. Corrigendum: Dynamics of a reaction-diffusion-advection model for two competing species. Discrete & Continuous Dynamical Systems - A, 2014, 34 (11) : 4989-4995. doi: 10.3934/dcds.2014.34.4989
References:
 [1] H. Amann and J. Lopez-Gomez, A priori bounds and multiple solutions for superlinear indefinite elliptic problems,, J. Diff. Eqns., 146 (2002), 336.  doi: 10.1006/jdeq.1998.3440.  Google Scholar [2] F. Belgacem and C. Cosner, The effects of dispersal along environmental gradients on the dynamics of populations in heterogeneous environment,, Canadian Appl. Math. Quarterly, 3 (1995), 379.   Google Scholar [3] S. Cano-Casanova and J. Lopez-Gomez, Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems,, J. Diff. Eqns., 178 (2002), 123.  doi: 10.1006/jdeq.2000.4003.  Google Scholar [4] X. Chen, K.-Y. Lam and Y. Lou, Dynamics of a reaction-diffusion-advection model for two competiting species,, Discrete Cont. Dyn. Sys. A, 32 (2012), 3841.  doi: 10.3934/dcds.2012.32.3841.  Google Scholar [5] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equation of Second Order,, $2^{nd}$ Ed., (1983).   Google Scholar

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References:
 [1] H. Amann and J. Lopez-Gomez, A priori bounds and multiple solutions for superlinear indefinite elliptic problems,, J. Diff. Eqns., 146 (2002), 336.  doi: 10.1006/jdeq.1998.3440.  Google Scholar [2] F. Belgacem and C. Cosner, The effects of dispersal along environmental gradients on the dynamics of populations in heterogeneous environment,, Canadian Appl. Math. Quarterly, 3 (1995), 379.   Google Scholar [3] S. Cano-Casanova and J. Lopez-Gomez, Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems,, J. Diff. Eqns., 178 (2002), 123.  doi: 10.1006/jdeq.2000.4003.  Google Scholar [4] X. Chen, K.-Y. Lam and Y. Lou, Dynamics of a reaction-diffusion-advection model for two competiting species,, Discrete Cont. Dyn. Sys. A, 32 (2012), 3841.  doi: 10.3934/dcds.2012.32.3841.  Google Scholar [5] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equation of Second Order,, $2^{nd}$ Ed., (1983).   Google Scholar
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