Almost Periodic Dynamic of a Discrete Wazewska-Lasota Model

Authors

  • Yoshihiro Hamaya Department of Information Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005

DOI:

https://doi.org/10.26713/cma.v4i3.196

Keywords:

Almost periodic solutions, Wazewska-Lasota model, Exponential dichotomy, Liapunov functional

Abstract

The purpose of this article is to investigate the existence of an almost periodic solution of a discrete Wazewska-Lasota model involving a linear harvesting term\[x(n+1)-x(n)= -\alpha(n)x(n+1) +\sum_{i=1}^{l}\beta_{i}(n)e^{-\gamma_{i}(n)x(n-\tau_{i}(n))}-H(n)x(n-\sigma(n)),\] by using the contraction mapping principle, and we also show that the solution of above equation converge exponentially to an almost periodic solution by constructing a luxury Liapunov functional.

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References

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CITATION

How to Cite

Hamaya, Y. (2014). Almost Periodic Dynamic of a Discrete Wazewska-Lasota Model. Communications in Mathematics and Applications, 4(3), 189–199. https://doi.org/10.26713/cma.v4i3.196

Issue

Vol. 4 No. 3 (2013)

Section

Research Article

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