Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System

Chuanjun Dai, Min Zhao and Lansun Chen

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:619721

DOI: 10.1155/2013/619721

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