In this work, a fishery predator-prey model with anti-predator behavior is presented according to the anti-predator phenomenon in nature. On the basis of this model, a capture model guided by a discontinuous weighted fishing strategy is established. For the continuous model, it analyzes how anti-predator behavior affects system dynamics. On this basis, it discusses the complex dynamics (order-m periodic solution (m=1,2)) induced by a weighted fishing strategy. Besides, in order to find the capture strategy that maximizes the economic profit in the fishing process, this paper constructs an optimization problem based on the periodic solution of the system. Finally, all of the results of this study have been verified numerically in MATLAB simulation.

A fishery predator-prey model with anti-predator behavior and complex dynamics induced by weighted fishing strategies.

Fisheries, forestry, and wildlife are precious renewable resource in the world, and reasonable exploitation and utilization are very important for human beings. Based on reasonable development consideration of fishery resources, in this work we proposed an instantaneous harvest fishery model, which is induced by the weighted escapement strategy. For the proposed model, we analyze the impact of fishing behavior on system dynamics under weighted escapement strategy, including the existence of predator-extinction periodic solution, coexistent order- q ( q = 1 , 2 ) periodic solution, and their stability. The existence threshold condition for the order-1 periodic solution provides a basis in the process for determining fishing period or frequency, and the stability threshold condition guarantees the robustness of the adapted instantaneous fishing strategy. Besides, in order to ensure a maximum of the revenue during the fishing process, we construct an optimization problem by introducing the cost of fishing and sales within a cycle. The correctness of the results are further verified through numerical simulations in MATLAB program. 

Global dynamics analysis of instantaneous harvest fishery model guided by weighted escapement strategy

Periodic on-off operations of the self-cycling ethanol fermentation process: stability analysis and optimal operation strategies

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Periodic On-Off Operations Of The Ethanol Fermentation Process: Stability Analysis and Optimal Operation Strategies

In this paper, the system with impulsive state feedback control corresponding to the sulphitation reaction in process of manufacture of sugar is considered. By means of square approximation and a s...

Impulsive state feedback control during the sulphitation reaction in process of manufacture of sugar

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Impulsive state feedback control during the sulphitation reaction in process of manufacture of sugar