Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System

Abstract EN

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.