Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System | Zendy

Chuanjun Dai | Zendy; Min Zhao | Zendy; Lansun Chen | Zendy

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Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System

Author(s) -

Chuanjun Dai,

Min Zhao,

Lansun Chen

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/619721

Subject(s) - mathematics , bifurcation , algae , fish <actinopterygii> , control theory (sociology) , ecology , fishery , control (management) , biology , nonlinear system , computer science , artificial intelligence , physics , quantum mechanics

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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