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

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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.

Keywords

fuzzy biological parameter / filippov system / fishery model / periodic solution / stability

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