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Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System

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  • Chuanjun Dai
  • Min Zhao
  • Lansun Chen

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.

Suggested Citation

  • Chuanjun Dai & Min Zhao & Lansun Chen, 2013. "Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, November.
    • Handle: RePEc:hin:jnlaaa:619721
    DOI: 10.1155/2013/619721
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