Complex dynamics and optimal harvesting strategy of competitive harvesting models with interval-valued imprecise parameters

Tian, Yuan; Li, Chunxue; Liu, Jing

doi:10.1016/j.chaos.2022.113084

Cited by 9 publications

(2 citation statements)

References 43 publications

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“…In view of the uncertainty in nature environment and imprecision in experimental measurement, it is a natural idea to use fuzzy parameters instead of fixed ones to make the model more reasonable. Many researchers concentrated their models under stochastic factors [19,20] and fuzzy conditions [21][22][23][24][25][26][27][28][29]. Pal et al [21] first introduced the fuzzy prey-predator model with fuzzy parameters instead of determined parameters, by introducing fuzzy interval number.…”

Section: Introductionmentioning

confidence: 99%

“…However, as different species always have different life habits and environmental sensitivities, imprecisions caused by environmental uncertainty may induce different influence on the species separately. To simulate this phenomenon, Tian et al [29] introduced species-related imprecise parameters into a competitive system and investigated the complex dynamics and optimal harvesting strategy of the competitive harvesting models. In this work, we will further investigate the species-related imprecise biological parameters in predator-prey system.…”

Section: Introductionmentioning

confidence: 99%

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Complex dynamics of two prey–predator harvesting models with prey refuge and interval‐valued imprecise parameters

Tian

Hua

Sun

2023

Math Methods in App Sciences

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In view of the phenomena that species in nature are affected by the complexity of the ecosystem, some key biological parameters have certain inaccuracy or uncertainty and part of the prey hides in the shelter from predation. Moreover, different species exhibit different living habits, so it is of certain interest to investigate species‐related imprecise biological parameters. Besides, from the perspective of scientific and reasonable exploitation and utilization of fishery resources, two types of harvesting strategies are introduced into the system. Firstly, the dynamic properties of the system guided by continuous harvesting strategy are analyzed, which demonstrates the impact of refuge rate, imprecision indexes and harvesting efforts on the system dynamics. Meanwhile, the bio‐economic equilibrium is discussed, and the optimal harvesting strategy is obtained. Secondly, the complex dynamics of the system induced by weighted harvesting activity are analyzed. The predator‐extinction periodic solution and coexistent order‐1 periodic solution is discussed according to different weights and thresholds. Finally, the correctness of the obtained results and the feasibility of the harvesting strategy are verified through numerical simulation in MATLAB. The results of this study provide a reference for the scientific and reasonable exploitation and utilization of prey–predator fishery resources in the imprecise parameter environment.

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