Dynamic analysis and validation of a prey-predator model based on fish harvesting and discontinuous prey refuge effect in uncertain environments

Yuan Tian; Hua Guo; Wenyu Shen; Xinrui Yan; Jie Zheng; Kaibiao Sun; Yuan Tian; Hua Guo; Wenyu Shen; Xinrui Yan; Jie Zheng; Kaibiao Sun

doi:10.3934/era.2025044

Electronic Research Archive

2025, Volume 33, Issue 2: 973-994. doi: 10.3934/era.2025044

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Research article

Dynamic analysis and validation of a prey-predator model based on fish harvesting and discontinuous prey refuge effect in uncertain environments

1.
School of Science, Dalian Maritime University, Dalian 116026, China
2.
Aviation University of Air Force, Changchun 130022, China
3.
Liaoning Ocean and Fisheries Science Research Institute, Dalian 116023, China
4.
School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China

Received: 10 December 2024 Revised: 04 February 2025 Accepted: 10 February 2025 Published: 24 February 2025

Dynamic modeling, analysis, and control of fish ecosystems are important for promoting the sustainable development of fish stocks. The objective of this study is to analyze the dynamic behavior of prey-predator systems with discontinuous prey refuge effect and different types of harvesting activities in an uncertain environment. Initially, a Filippov-type prey-predator model with fuzzy parameters is formulated and the positivity and bounded-ness of the solutions and the dynamic properties of Filippov prey-predator system are discussed. Next, from the perspective of effective exploitation and utilization of fish resources, a state linearly dependent fishing strategy is adopted into the system and a fishing model based on threshold feedback is established, as well as an analysis on the complex dynamics of the control system. Finally, to illustrate the theoretical results, computer simulations are presented step by step with an explanation on the practical significance. This study provides a reference for in-depth understanding of the development dynamics of fish resources and scientific planning of fishery resources exploitation.
- fuzzy biological parameter,
- filippov system,
- fishery model,
- periodic solution,
- stability
Citation: Yuan Tian, Hua Guo, Wenyu Shen, Xinrui Yan, Jie Zheng, Kaibiao Sun. Dynamic analysis and validation of a prey-predator model based on fish harvesting and discontinuous prey refuge effect in uncertain environments[J]. Electronic Research Archive, 2025, 33(2): 973-994. doi: 10.3934/era.2025044

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Abstract

Dynamic modeling, analysis, and control of fish ecosystems are important for promoting the sustainable development of fish stocks. The objective of this study is to analyze the dynamic behavior of prey-predator systems with discontinuous prey refuge effect and different types of harvesting activities in an uncertain environment. Initially, a Filippov-type prey-predator model with fuzzy parameters is formulated and the positivity and bounded-ness of the solutions and the dynamic properties of Filippov prey-predator system are discussed. Next, from the perspective of effective exploitation and utilization of fish resources, a state linearly dependent fishing strategy is adopted into the system and a fishing model based on threshold feedback is established, as well as an analysis on the complex dynamics of the control system. Finally, to illustrate the theoretical results, computer simulations are presented step by step with an explanation on the practical significance. This study provides a reference for in-depth understanding of the development dynamics of fish resources and scientific planning of fishery resources exploitation.

References

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