AI 中文总结
研究风对捕食者-猎物动态的影响，构建含风驱动、猎物群体防御及捕食者额外食物策略的模型，分析平衡点的存在性与稳定性，揭示风强度和额外食物供应可引发多种复杂动态，为生态管理策略提供理论见解。
AI 中文摘要
风在改变猎物防御策略和捕食效率方面起着关键作用。我们开发并分析了一个捕食者-猎物模型，该模型纳入了风驱动的环境影响、猎物群体防御以及捕食者的额外食物策略。假设风强度调节捕食效率，猎物聚集在高密度时降低捕食压力，补充食物改变捕食者生长且与猎物丰度无关。我们研究了生物可行平衡点的存在性和稳定性。分析表明风强度和额外食物供应可引发稳定性切换、通过霍普夫分岔产生振荡动态以及包括鞍结和博格达诺夫-塔克分岔在内的更复杂行为。我们的结果表明环境强迫和资源补充共同塑造捕食者的持续性和种群波动，为可变环境条件下涉及食物富集的生态管理策略提供理论见解。
英文摘要
Wind plays a crucial role in changing prey defense strategy and predation efficiency. We develop and analyze a prey-predator model that incorporates wind driven environmental effects, prey group defense, and an additional food strategy for the predator. Wind intensity is assumed to modulate predation efficiency, while prey aggregation reduces predation pressure at high densities, and supplementary food alters predator growth independent of prey abundance. We investigate the existence and stability of biologically feasible equilibrium points. The analysis reveals that wind strength and additional food supply can induce stability switches, oscillatory dynamics via Hopf bifurcation, and more complex behaviors including saddle node and Bogdanov Takens bifurcations. Our results demonstrate that environmental forcing and resource supplementation jointly shape predator persistence and population fluctuations, providing theoretical insights into ecological management strategies involving food enrichment under variable environmental conditions.
Comments35 pages, 11 figures
