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This paper addresses the limitations of traditional predator-prey models by constructing a modified Leslie-Gower model that incorporates the dual effects of wind on predator foraging efficiency and human harvesting activities. We introduce nonlinear functions 1(ω) = 1 + k1ω and 2(ω) = 1 + k2ω to quantify the dynamic impacts of wind speed on predator search efficiency (negatively correlated) and human harvesting intensity (negatively correlated). Through differential equation theory, we analyze the local/global stability of boundary and positive equilibria, system persistence, and parameter sensitivity, supported by numerical simulations. Key findings include: (1) Wind speeds exceeding a critical threshold enable prey populations to overcome extinction thresholds, ensuring persistent survival. (2) Human harvesting efficiency significantly decreases with increasing wind speed. (3) Predator density exhibits non-monotonic variation with wind speed, while prey density monotonically increases, asymptotically approaching environmental carrying capacity. (4) The existence of a positive equilibrium guarantees global asymptotic stability, highlighting the crucial role of wind effects in maintaining system equilibrium. This study provides theoretical foundations for ecosystem management under extreme climates and supports wind-direction strategies in fishery conservation. © 2025, International Association of Engineers. All rights reserved.
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Engineering Letters
ISSN: 1816-093X
Year: 2025
Issue: 9
Volume: 33
Page: 3818-3838
0 . 4 0 0
JCR@2023
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