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| In this talk, we discuss the global attractivity of a steady state in equations of the form $x_{n+1}=x_nf(x_{n-1}) \pm h,$ where $h$ is a parameter that can denote constant stocking or harvesting in population models. We establish a connection between Pielou's model with harvesting/stocking, Lyness difference equations and the Y2K problem. The established connection simplifies proving the global attractivity of the positive steady state in the Y2K problem. The Y2K problem is extended to cover negative values of the parameters and results on persistence are provided. This work is about an ongoing research in which some open questions will be posed. |
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