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This paper proposes a modified Leslie-Gower predator-prey model incorporating saturation wind effects to explore the nonlinear impact of wind speed on ecosystem dynamics. By introducing a saturation function ϕ(ω)=1+ω,k+ω we analyze the system’s stability, persistence, and bifurcation behavior. Key findings include: 1) Critical Wind Speed (ωc): A critical wind speed ωc is identified, beyond which the system transitions from a coexistence state to prey extinction, highlighting wind speed’s role in ecosystem stability. 2) Saturation Effect: At low wind speeds, predation rate increases linearly with wind speed but saturates at high wind speeds, reflecting organisms’ adaptive strategies to extreme conditions. This saturation effect balances predation pressure and prey survival. 3) Global Stability and Persistence: The positive equilibrium E∗ is globally asymptotically stable when r > αϕ(ω)c, ensuring predator-prey coexistence. The system is also shown to be persistent under this condition. 4) Transcritical Bifurcation: The system undergoes a trans-critical bifurcation at ωc, where the positive equilibrium E∗ collides with the prey-free equilibrium E1(0, c), leading to a state transition. Numerical simulations validate the theoretical results, demonstrating how wind speed influences ecosystem dynamics. This study provides a new perspective on the interplay between climatic factors and biological interactions, with implications for ecological conservation and pest control. © 2025, International Association of Engineers. All rights reserved.
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Engineering Letters
ISSN: 1816-093X
Year: 2025
Issue: 7
Volume: 33
Page: 2524-2541
0 . 4 0 0
JCR@2023
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