bifurcations and periodic solutions for an algae-fish semicontinuous system
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2013
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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.
| Reference Key |
dai2013abstractbifurcations
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|---|---|
| Authors | ;Chuanjun Dai;Min Zhao;Lansun Chen |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/619721
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| URL | |
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