
Scientific research
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微分方程的定性理论及其在生命健康领域的应用, 浙江省自然科学基金-2026/12/31, 在研, 主要参与
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具有多平衡态的两类生物数学模型的极限环分岔及其应用, 国家自然科学基金, 2024/01/01-2026/12/31, 在研, 主持
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几类捕食模型的分支与极限环问题, 浙江省自然科学基金, 2023/01/01-2025/12/31, 在研, 主持
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动力系统的轨道性态与分支问题, 浙江师范大学自主专项项目, 2022/01/01-2024/12/31, 已结题, 主要参与
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平面分段光滑Liénard微分系统的动力学分析, 国家自然科学基金面上项目, 2021/01/01-2024/12/31, 已结题, 主要参与
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平面微分系统的全局结构、代数极限环及分支问题, 国家自然科学基金面上项目, 2020/01/01-2023/12/31, 已结题, 主要参与
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Yanfei Dai.Periodic waves of singularly perturbed generalized KdV equation with two arbitrarily high-order nonlinearities.Physica D.2025,476:1-13
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Tianrui An.Monotonicity of limit wave speed in the pgKdV equation with nonlinear terms of arbitrarily high degrees.International Journal of Bifurcation and Chaos.2025
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Yangjian Sun, Yanfei Dai*.The lowest upper bound on the number of zeros of some class of Hyper-elliptic Abelian integrals.Science China Mathematics.2025,68
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Yanfei Dai, Yulin Zhao*, Bo Sang.Four limit cycles in a predator-prey system of Leslie type with generalized Holling type III functional response.Nonlinear Analysis: Real World Applications.2019,50:218-239
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Yanfei Dai, Yulin Zhao*.Hopf cyclicity and global dynamics for a predator-prey system of Leslie type with simplified Holling type IV functional response.International Journal of Bifurcation and Chaos.2018,28(13):1850166-1-20
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Xiaoling Wang, Shimin Li, Yanfei Dai*, Kuilin Wu.Dynamics in a slow-fast Leslie-Gower predator-prey model with Beddington-DeAngelis functional response.Journal of Mathematical Analysis and Applications.2025,545:1-30