Asymptotic Behavior for Asymptotically Periodic Semiflows with Applications

  title={Asymptotic Behavior for Asymptotically Periodic Semiflows with Applications},
  author={Xiao-Qiang Zhao},
The properties of ω-limit set and global asymptotic behavior are first obtained for asymptotically autonomous discrete dynamical processes on metric spaces.Then certain equivalence of the asymptotic behavior between an asymptotically periodic semiflows and its associated asymptotically autonomous discrete dynamical process is proved. As some applications, the global behavior of asymptotically periodic scalar Kolmogorov parabolic equations and predator-prey parabolic systems are also discussed. 
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