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Theory and Modern Applications

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On the Difference Equation

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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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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