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2013 Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System
Chuanjun Dai, Min Zhao, Lansun Chen
Abstr. Appl. Anal. 2013(SI41): 1-11 (2013). DOI: 10.1155/2013/619721

Abstract

We propose an algae-fish semicontinuous system for the Zeya Reservoir to study the control of algae, including biological and chemical controls. The bifurcation and periodic solutions of the system were studied using a Poincaré map and a geometric method. The existence of order-1 periodic solution of the system is discussed. Based on previous analysis, we investigated the change in the location of the order-1 periodic solution with variable parameters and we described the transcritical bifurcation of the system. Finally, we provided a series of numerical results to illustrate the feasibility of the theoretical results. These results may help to facilitate a better understanding of algal control in the Zeya Reservoir.

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Chuanjun Dai. Min Zhao. Lansun Chen. "Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System." Abstr. Appl. Anal. 2013 (SI41) 1 - 11, 2013. https://doi.org/10.1155/2013/619721

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095175
MathSciNet: MR3129354
Digital Object Identifier: 10.1155/2013/619721

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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