UNIFORM ATTRACTOR OF THE NON-AUTONOMOUS DISCRETE SELKOV MODEL

作者：Jia Xiaolin; Zhao Caidi^*; Cao Juan

来源：Discrete and Continuous Dynamical Systems, 2014, 34(1): 229-248.

DOI：10.3934/dcds.2014.34.229

• Non-autonomous lattice dynamical system
• Selkov model
• Uniform attractor
• Kolmogorov epsilon-entropy
• Upper semicontinuity

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 epsilon-entropy for it. Also we establish the upper semicontinuity of the uniform attractor when the infinite lattice systems are approximated by finite lattice systems.

• 出版日期2014-1
• 单位温州大学