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Advances in Continuous and Discrete Models

Theory and Modern Applications

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On the Difference Equation

Advances in Difference Equations volume 2008, Article number: 876936 (2008) Cite this article

Abstract

We study a discrete delay Mosquito population equation. Firstly, we study the stability of the equilibria of the system and the existence of period-two bifurcation by analyzing the characteristic equation. Secondly, the direction and stability of the bifurcation are determined by using the normal form theory. Finally, some computer simulations are performed to illustrate the analytical results found.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology in Weihai, Weihai, Shandong, 264209, China

    Xiaohua Ding

  2. Department of Mathematics, Huang He Science and Technology College, Zhengzhou, Henan, 264209, China

    Rongyan Zhang

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  1. Xiaohua Ding
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  2. Rongyan Zhang
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Correspondence to Xiaohua Ding.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ding, X., Zhang, R. On the Difference Equation . Adv Differ Equ 2008, 876936 (2008). https://doi.org/10.1155/2008/876936

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  • DOI: https://doi.org/10.1155/2008/876936

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