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Existence of Periodic and Almost Periodic Solutions of Discrete Ricker Delay Models

  • Yoshihiro HamayaEmail author
Conference paper
  • 816 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 102)

Abstract

The aim of this article is to investigate the sufficient conditions for the existence of periodic and almost periodic solutions of a generalized Ricker delay model,
$$\begin{aligned} N(n+1) = N(n)\exp \{f(n, N(n-r(n))) \}, \end{aligned}$$
when \( f \) are periodic and almost periodic functions in \( n \), respectively, which appears as a model for dynamics with single species in changing periodic and almost periodic environments, by applying the technique of boundedness and stability conditions which derives the fixed point theorems and uniformly asymptotically stable of solutions for above equation, respectively. Moreover, we consider the existence of an almost periodic solution of the case where \( f \) has the Volterra term with an infinite delay.

Keywords

Periodic Solution Periodic Function Delay Differential Equation Periodic Model Infinite Delay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Information ScienceOkayama University of ScienceOkayamaJapan

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