一、 基本情况

姓 名：颜向平                                             职 称：教授

学 历：博士研究生                                      学 位：理学博士

电子邮箱：xpyan72@163.com                  邮 编：730070

二、 教育背景

2004.09-2007.06  兰州大学 数学与统计学院 基础数学专业 博士学位

2001.09-2004.06  兰州大学 数学与统计学院 计算数学专业 硕士学位

1993.09-1997.07  西北师范大学 数学教育专业 学士学位

三、 研究方向

微分方程与动力系统

四、 招生专业

管理科学与工程

五、 科研项目

1.国家自然科学基金项目，具有非局部时滞的反应扩散模型的动力学研究，202301-202612，29万，主持

2.甘肃省自然科学基金项目，具有非局部时滞的反应扩散模型的动力学，202210-202409，6万，主持

3.国家自然科学基金项目，一类时滞反应扩散种群动力系统的动力学研究，201801-202112，39万，主持

4.国家自然科学基金项目，非线性微分方程的多参数动态分支研究，201301-201612，39万，主持

六、 教学工作

本科生：数学分析、高等数学、线性代数、概率论与数理统计、数值计算方法；研究生：微分方程基础、泛函微分方程

七、 论文、专著、专利

[1] Y. Huang, G. Lin and X.-P. Yan, Spreading speeds in a nonlocal delayed competition system without monotonicity, Commun Nonlinear Sci. Numer. Simulat., 152 (2026) 109345

[2] X.-P. Yan and C.-H. Zhang, Properties of Hopf bifurcation in a diffusive population model with advection term and nonlocal delay effect, J. Nonlinear Sci., 35 (2025) 1-34

[3] X.-P. Yan, L.-N. Lian and C.-H. Zhang, Turing instability of spatially homogeneous periodic solutions in a reaction–diffusion bimolecular model, Math. Method Appl. Sci., 48(2025) 11380-11396

[4] L.-N. Lian, X.-P. Yan and C.-H. Zhang, Pattern dynamics in a bimolecular reaction–diffusion model with saturation law and cross-diffusion, Chaos, Solitons & Fractals, 192 (2025) 116006

[5] L. Li, X.-P. Yan and C.-H. Zhang, Turing, Hopf and Turing–Hopf bifurcations in a modified

Leslie–Gower predator–prey diffusive system with Smith prey growth and nonmonotonic functional response, Chaos, Solitons & Fractals 201 (2025) 117226.

[7] H.-H. Qian, X.-P. Yan and C.-H. Zhang, Multiple stability switches and Hopf bifurcation

in an epidemic model with susceptible protection period, Int. J. Biomath., (2025) 2550128

[8] X.-P. Yan and C.-H. Zhang, Properties of Hopf bifurcation to areaction-diffusion population model with nonlocal delayed effect, J. Differential Equations, 385(2024) 155–182

[9] X.-P. Yan, T.-J. Yang and C.-H. Zhang, Turing patterns induced by cross-diffusion in a predator–prey system with functional response of Holling-II type, Qual. Theory Dyn. Syst., 23(2024) 1-23

[10] X.-P. Yan and C.-H. Zhang, Patterns dynamics in a diffusive prey–predator system with ratio-dependent functional response in a planar domain, Int. J. Biomath., (2024) 2450020, 1-24

[11] X.-P. Yan and C.-H. Zhang, Spatiotemporal dynamics in a diffusive predator–prey system with Beddington–DeAngelis functional response, Qual. Theory Dyn. Syst., 21(2022) 1-49

[12] X.-P. Yan and C.-H. Zhang, Bifurcation analysis in a diffusive Logistic population model with two delayed density-dependent feedback terms, Nonlinear Anal. Real World Appl., 63 (2022) 103394.

[13] X.-P. Yan and C.-H. Zhang, Hopf bifurcation in a generalized Logistic reaction–diffusion population model with instantaneous and delayed feedback, Math. Comput. Simulation, 190 (2021) 774–792

[14] X.-P. Yan and C.-H. Zhang, Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type, Appl. Math. Lett., 114 (2021) 106904

[15] Y. Zhou, X.-P. Yan and C.-H. Zhang, Turing patterns induced by self-diffusion in a predator–prey model with schooling behavior in predator and prey, Nonlinear Dyn., 105 (2021) 3731–3747

八、 获奖与荣誉

[1] 甘肃省自然科学三等奖（2023年）

[2] 甘肃省自然科学二等奖（2012年）

[3] 甘肃省自然科学三等奖（2012年）

[4] 甘肃省高校科技进步三等奖（2012年）

[5] 甘肃省高校科技进步三等奖（2010年）

[6] 甘肃省高校青年教师成才奖（2011）

[7] 甘肃省高校科技进步二等奖（2008）