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Uniform attractor of the non-autonomous discrete Selkov model

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  • 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.
    Mathematics Subject Classification: 37L30, 35B40, 35B41.


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