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This study investigates the dynamics of a twospecies competition model incorporating wind-dependent refuge. Unlike traditional models where refuge are treated as fixed parameters, we propose a wind-speed-dependent refuge parameter u(w) = umaxe−kw, which decays exponentially with increasing wind velocity, better reflecting natural ecological dynamics. Through equilibrium analysis and stability evaluation, we demonstrate that heightened wind speeds reduce refuge effectiveness, critically influencing species coexistence. Theoretical results reveal that when r1K1 > α12(1 − u(w))K2 and r2K2 > α21(1 − u(w))K1, the system admits a unique stable positive equilibrium enabling species coexistence; otherwise, extinction of one species becomes probable. Numerical simulations corroborate that increased wind intensity alters competitive outcomes by impairing refuge functionality. The work provides theoretical support for wind-disturbed ecosystem conservation (e.g., establishing windbreaks) and elucidates complex interactions between environmental factors and species competition, extending classical Lotka-Volterra framework to wind-affected scenarios. © 2025, International Association of Engineers. All rights reserved.
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Engineering Letters
ISSN: 1816-093X
Year: 2025
Issue: 8
Volume: 33
Page: 3174-3187
0 . 4 0 0
JCR@2023
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