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January  2014, 34(1): 229-248. doi: 10.3934/dcds.2014.34.229

## Uniform attractor of the non-autonomous discrete Selkov model

 1 Department of Mathematics and Information Science, Wenzhou University, Zhejiang Province, 325035, China, China 2 College of Teacher Education, Wenzhou University, Zhejiang Province, 325035, China

Received  November 2012 Revised  March 2013 Published  June 2013

This paper studies the asymptotic behavior of solutions for the non-autonomous lattice Selkov model. We prove the existence of a uniform attractor for the generated family of processes and obtain an upper bound of the Kolmogorov $\varepsilon$-entropy for it. Also we establish the upper semicontinuity of the uniform attractor when the infinite lattice systems are approximated by finite lattice systems.
Citation: Xiaolin Jia, Caidi Zhao, Juan Cao. Uniform attractor of the non-autonomous discrete Selkov model. Discrete & Continuous Dynamical Systems - A, 2014, 34 (1) : 229-248. doi: 10.3934/dcds.2014.34.229
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