On a generalization of the global attractivity for a periodically forced Pielou's equation

2010/06/17 by Keigo Ishihara, Ishihara, Keigo, Yukihiko Nakata +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1006.3379

18 pages, accepted by Journal of Difference Equations and Applications

arxiv created 2010/06/17 · arxiv updated 2010/06/18

Abstract

In this paper, we study the global attractivity for a class of periodic difference equation with delay which has a generalized form of Pielou's difference equation. The global dynamics of the equation is characterized by using a relation between the upper and lower limit of the solution. There are two possible global dynamics: zero solution is globally attractive or there exists a periodic solution which is globally attractive. Recent results in [E. Camouzis, G. Ladas, Periodically forced Pielou's equation, J. Math. Anal. Appl. 333 (1) (2007) 117-127] is generalized. Two examples are given to illustrate our results.

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